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HARVARD COLLEGE 
LIBRARY 




GIFT OF THE 

GRADUATE SCHOOL 
OF EDUCATION 



TRANSFERRED TO 
CABOT SCIENCE LIBRARY 



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; 7> " 






TABLES Yk ^A ^"V^"^ 



// f/^, "' ^,^ 



^ 



LOGARITHMS OF NUMBERS, 



LOGARITHMIC SINES, TANGENTS AND SECANTS, 



TO SEVEN PLACES OF DECIMALS; 



TOQBTHBft WITH 



OTHEE TABLES OF FREQUENT USE 



STUDY OF MATHEMATICS, 



^^^^jyt^tA^, 



PRACTICAL CALCULATIONS. 




ANTHONY D. STANLEY, A. M 

/ FrofMioT of Miyt^ematicfl in Yale College. 



NEW HAVEN 
DURRIE Sl pec. 




«S cS*-e^^^_y 



PBINTES BT B. I.. HAULEK, 
Ptintei to T*le CoUeft. 

1854 



IAcWbL^i«".5--t 



\/ HAK<AiiU v-v-'LU.ut L!j.:..rtT( 

1RANSFEM(ED FROM THE 
UBRAirVOf TH( 
6RADUATE SCHOOL OF litfCATION 

\ 



Entered, according to Act of Congress, in the year 1846, 

by AifTHony D. Starlet, 
in the Clerk's office of the District Court of Connecticut. 



si 



Compoaition tnd Prenwork by 

B. L. HAMLEN, 

New HaTen. 

Btereotypad bj 

RICHARD H. aOBBS, 

Hartford. 



•PR'EFACE, 



The following collection of tables has been prepared, chiefly 
with a view to meet the wants of college students. Tables of 
much less extent would perhaps be regarded by many as suffi- 
cient for this purpose : and such indeed are most of the tables in 
common use. These smaller tables are doubtless suitable enough 
for the illustration of principles and rules of calculation ; but 
from the inaccurate results which they usually give in the solu-^ 
lion of problems, they enable the mathematical student who em- 
ploys them, to see but little of the use of tables to the computer. 
Tables in which the logarithms of numbers are carried to as many 
as seven places of decimals are needed for the proper solution 
of many of the problems to be met with in any common course 
of mathematics. Indeed logarithms of five or six places of dec- 
imals are now seldom used in calculations requiring any but the 
lowest degree of accuracy. In Prance, at the examinations for 
admission to the military and naval schools, candidates have for 
several years been required in their computations to use loga- 
rithms of seven decimal figures. The tables which are there 
most generally used are those of Callet. The tables of like ex- 
tent most commonly employed in England are Button's: and 
those of Vega are most used in Germany. The only similar ta- 
bles hitherto published in this country are Hassler's : and these 
have been found so inconvenient from the smallness of the type 
in which they are printed, that they are much less used than 
those of Button and Callet imported from abroad. 

The following work is one of sufficient extent to furnish nearly 
the same aid to computers as is afforded by the tables of Hutton 
or Callet. In presenting it to the public, our principal concern 
is to show that proper care has been taken to secure its correct- 
ness, in carrying it through the press ; as a new work of this kind 
inaccurately printed would be worse than useless. We therefore 
state the following particulars. The pages of the tables were 
first made by the printer to agree very nearly with the copy. 
Pour or five proofs of each were afterwards read in cormection 



(4) PREFACE. 

with different tables, before the work was printed. Two and in 
several cases three proofs were examined before the page was 
stereotyped, and two proofs from the plates were examined after- 
wards. This proof reading was done exclusively by the writer. 
In comparing the proofs with different tables, the corresponding 
columns of figures were in each case placed closely side by side, 
that the eye might readily detect any disagreement. An exam- 
ination of the proofs with the assistance of another in the ordi- 
nary way, would have required much less time : but the other 
method was preferred as better suited for the detection of errors. 

The tables employed in correcting the proofs were chiefly 
those of Vega, Callet, Button, Babbage and Shortrede. Babbage 
and Callet were most relied on for accuracy. But their tables 
were not found free from error. It is a common opinion with 
regard to works which have been stereotyped, that while they 
are open to correction as errors are discovered in them from time 
to time, they are also made permanently secure of whatever de- 
gree of accuracy they once acquire. But in using two copies of 
Callet's tables, one of recent and one of earlier date, it was seen 
that some errors from which the latter was free, had found their 
way into the former. A notice of several errors observed in the 
different tables which we have had occasion to examine, may be 
found in No. 15, 2d Series df the Amer. Jour, of Sci. and Arts. 

After the following tables were ready for the press, the editor 
found among the Memoirs of the Astronomical Society of Lon- 
don an article by Mr. Babbage, in which he mentions six errors 
that are common to almost all the tables of logarithms he has 
seen. From his own table these errors are of course excluded. 
And as that had been used in correcting the first proofs of the 
following table of logarithms, we were furnished with tolerable 
means of forming an opinion concerning the merits or defects of 
the first proof reading. On referring to the proofs concerned, it 
was found that all the errors in question had been noticed and 
corrected. Our second proofs of the table of logarithms were 
compared with Shortrede's table. We therefore examined this 
table with reference to the errors noticed by Babbage ; and in it 
found five of them. We then referred to a list of nine or ten 
errors that we had discovered in the same table, and found all of 
these five among them ; which encouraged the belief that not 
many errors had been overlooked in the second proof reading. 



PBErACE. (5) 

As we are infonned that Babbage's table was employed in the 
coirection of Shortrede's, it seems a little remarkable that all 
the &ve errors referred to should have escaped notice. But the 
general correctness of the latter table need not be therefore dis- 
trusted, as we may infer from what is stated aboVe, that those 
errors form a large proportion of all the errors which it contains. 

Next in importance to the table of logarithms of numbers, is 
that of logarithmic sines, tangents, &c. Hutton in his table of 
sines, tangents, &c. gives them only at intervals of a minute each, 
through all except the first two degrees of the quadrant, where 
sioes and tangents are given for every second. The differences 
of successive sines, tangents, i&c. in some parts of his table are 
accordingly quite large, and in finding intermediate sines, tan- 
gents, d&c. the process of interpolation is inconveniently long. 
There is alsa room for considerable error in this process, unless 
second difiierences are taken into account, which would render 
the work still longer. In Callet^s tabl^, sines and tangents are 
given at intervals of seconds for the first five degrees, and sines, 
cosines, tangents and cotangents, at intervals of ten seconds for 
the whole of the quadrant. His table is therefore much more 
convenient than Hutton's. In one respect however it is less con- 
venient, as it fails to give secants and cosecants, which Hutton 
does not omit. 

We have endeavored to combine the main advantages of these 
two tables in the second table of this collection. In giving se- 
cants and cosecants, our table agrees with that of Hutton. It 
differs from his chiefly in giving sines, tangents, ice. at intervals 
of ten seconds instead of minutes, for the first fifteen degrees. 
In consequence of this and of a special arrangement for the first 
two degrees, no error greater than a unit in the last place of deci- 
mals can happen in any part of the table, from the neglect of 
second difierences in interpolation ,- whereas there would have 
been room for errors thirty-six times as great as this, if the sines, 
tangents, ice. had been given, as in Hutton's table, only to min- 
utes, after the second degree of the quadrant. 

There are many cases in which a required result cannot be 
accurately determined, unless the result be known approximately 
from some preliminary calculation. This first calculation does 
not commonly require to be made with much exactness : and if 
it be logarithmic, it ought to be made with logarithms of less than 



(6) PKCFICE. 

seven decimal figures. For convenient use in hasty calculations 
of this and other kinds, we have added to the lai^er tables of 
logarithms and logarithmic sines, tangents, &c. smaller tables of 
logarithms, antilogarithms, logarithmic sines, tangents, &rC. car- ^ 
ried only to five places of decimals. 

Before we determined to embrace these tables in the collection 
to be made, we had intended that the two leading tables should 
be followed by a variety of smaller ones, useful in navigation, 
surveying, fcc. Several such tables were accordingly selected and 
prepared for the press, but most of them were set aside to make 
room for the smaller logarithmic tables, which seemed likely to 
be of more general use. A few of the most important however 
have been retained, and will be found at the end *of the volume. 

The table on page 338 was copied from one in common use, 
the correctness of which we had no reason to distrust. But after 
this page was stereotyped, we observed that the numbers in it 
could not be depended on for accuracy in their final figures. This 
defect may however be deemed of little practical importance, as 
no great exactness is called for in cases where those numbers 
are used. 

The table of meridional parts, which was prepared for the stere- 
otyper immediately after page 338, was withheld till it could be 
examined, cursorily at least, with reference to such inaccuracies 
as had been observed in that page. And in this table too, sev- 
eral numbers were found erroneous, by a unit, in the final figure. 
These were corrected : but the table may still contain errors of 
the kind in question, as the examination was a hasty one, being 
much less thorough than it would have been had the occasion 
for it been earlier suggested. The numbers given in this table 
are carried to the first place of decimals. Meridional parts given 
in whole numbers, as they commonly are, are unsuitable for use 
in many cases where accuracy is demanded. 



CONTENTjS. 



u 



u 



u 
u 



INTBODUCTION. 

Pift. 

Of Logarithms (9) 

Of the Table of Logarithms of Numbers .... (16) 

" Table of Artificial Sines, Tangents, &c. . . , (27) 

'' Table of Natural Sines and Cosines . . . (41) 

Smaller Table of Logarithms of Numbers . . . (43) 

Table of Antilogarithms (45) 

Smaller Table of Artificial Sines, Tangents, &c. . (46) 

Traverse Table (51) 

Table of Meridional Parts (52) 

Table for correcting Middle Latitude . . . (52) 
Table of Logarithms for computing Compound Interest, 6ic. (53) 
Tables for interchanging Common and Hyperbolic Loga- 
rithms (53) 

Table for finding the Lengths of Circular Arcs • . (54) 

Tables on page 340 (54) 

TABLES. 

Table of Logarithms of Numbers 1 

Table of Artificial Sines, Tangents, &c 155 

Table of Natural Sines and Cosines 278 

Smaller Table of Logarithms of Numbers . . , • 288 

T^ble of Antilogarithms 294 

Smaller Table of Artificial Sines, Tangents, &c. . . 300 

Traverse Table or Table of Departure and Difference of Latitude 323 

Table of Meridional Parts 330 

Workman's Table for correcting Middle Latitude . . 338 

Table of Logarithms for computing Compound Interest, to. • 339 

Table for convertipg Common into Flyperbolic Logarithms . 339 

Table for converting Hyperbolic into Common Logarithms • 339 

Table for finding the Lengths of Circular Arcs . . . 339 

Table of Logarithms carried to thirty places of decimals . . 340 

Table of Numbers often used 340 



INTRODUCTION. 



LOGARITHMS. 

Art. 1. ^ LOGARITHM of a number is the exponent which shows 
what power* that number is of a given number. Thus if the 
given number is 2, the logarithm of 8 is 3, that of 32 is 5, that 
of 64 is 6, &c. because 8=2% 32=2*, 64=2% &c. and if 3 is 
the given number, the logarithm of 9 is 2, that of 27 is 3, that 
of 8 i is 4, ^. To distinguish the logarithms of one of these 
two classes from those of the other, the former are said to belong 
to a system of logarithms of which 2 is the base, and the 
latter to a system <jf which 3 is the base. To make either 
system complete, the logarithms of all the numbers 1, 2, 3, 4, 
&c. must be obtained, by regarding each number as a power 
of the base, and finding the exponent which denotes what that 
power is. Thus if the base is 2, each number is to be considered 
as a power of 2, and the exponent denoting the power is to be 
ascertained, and taken for the logarithm of the number. For 
example, let the number be 13 : this is greater than 2^ and less 
than 2* ; and there is some number between 3 and 4, which in- 
dicates what power 13 is of 2 : that number is the logarithm of 
13 ; and though not assignable at once, it may be determined 
without difficulty by various methods of calculation which need 
not be specified here. 

Any number except one may be made the base of a system of 
logarithms ; for by giving the number differfent indices, we may 
form powers of it that shall equal any numbers whatever ; but 
as all the powers and roots of one are alike, we cannot represent 
other numbers by any powers or roots of the number one. 

2. Logarithms are employed chiefly to facilitate numerical cal- 
culations. And for this purpose it is best to make use of the 

* The word potoer is often used to denote a quantity with any index whether 

frartional or integral, positive or negative. In this sensei or, a ,a are ail powera 
of a. With this extended meaning the term is employed in these pages 

B 



4^^ 



(10) INTRODUCTION. 

logarithms of no more than one system. The method of pre- 
paring for use a system of logarithms, is to take the numbers 1, 
2, 3, 4, &.C. in their natural order, (to a greater or less extent as 
occasion demands,) and considering them all as powers of the 
base, to determine their logarithms accordingly, and then arrange 
the logarithms together with the numbers in a table. The sys- 
tem which has been chosen as most convenient, is that whose 
base is 10. It is for reasons pertaining to the common mode of 
reckoning by tens^ (and to be stated more explicitly in Art. 
17,) that this system is preferred. Logarithms in the system 
whose base is 10, are called common logarithms or Briggs'* log- 
arithms. 

The COMMON logarithm of a number then is the expotieni 
which shows what power that numher is of 10. 

When the kind of logarithms spoken of is not specified, oomr 
mon logarithms are always to be understood. 

3. The logarithms of the numbers which are exact powers of 
10 are at once obvious: thus the logarithms of the numbers 
1000, 100, 10, 1, A, tU, 7^'zz are obviously 3, 2, 1,0, -1, -2, 
— 3, because those numbers are obviously the following powers 
of 10, viz. 10», 10^ 10', 10% 10-», 10-«, 10-'. 

The logarithms of other numbers are fractional, and some cal- 
culation is necessary to determine accurately what they are.f 

Thus for example, the logarithm of 587 is some number be- 
tween two and three, because 587 is between 100 and 1000, and 
the logarithm of 100 is two^ that of 1000, three. By a proper 
method of calculation it may be ascertained that the logarithm 
of 687 is greater than 2.7686381, and less than 2.7686382 ; and 
that it differs less from the former number than from the latter. 

* We are indebted to Lord Napier a Scottish matbematician, for the invention 
of logarithms. The first logarithmic tables were published by him in 1614. His 
system of logarithms had 2.718 ... for its base. This system was assumed on 
account of a peculiarity that makes its logarithms a little easier of calculation than 
those of other systems. The logarithms of this system are commonly called 
Jitaperiarif but are sometimes called also hyperbolic logarithms from certain re- 
markable relations which they have to a curve called the hyperbola. At the sug- 
gestion of Briggs a contemporary of Napier, the system in which 10 is the base 
was early substituted for the other and has ever since been the one in common uso. 

t Indeed the logarithms of such numbers are not capable of being expressed in 
fractions with perfect exactness; but they can be assigned with any lower degree 
of accuracy, and especially with all the accuracy that is requisite for practical 
purposes. 



LOGARITHMS. (11) 

The logarithm of 687 is therefore very nearly 2.7686381. We 
might assign a number still nearer the true logarithm by pro- 
ceeding to eight or more decimals; but for ordinary purposes it 
is sufficient to know the logarithm of a number accurately to 
the seventh decimal place. Accordingly 2.7686381 may in prac- 
tice be regarded as the logarithm of 587. 

4 Again the logarithm of 0.0357 is between — 1 and — 2, be- 
cause 0.0357 is less than 0.1 that is 10~*, and greater than 0.01 
that is 10"' ; and by due calculation it has been found that the 
logarithm of 0.0357 differs but little from - 1.4473318. 

The logarithm as thus expressed consists of a negative whole 
number — 1 and a negative decimal —.4473318. There are rea- 
sons for avoiding the use of negative decimals in logarithms, which 
is done by substituting for them such equivalent expressions that 
each negative logarithm may be made to consist of a positive 
decimal and a negative whole number. Thus in the example be- 
fore us, instead of —.4473318 is substituted the equivalent ex- 
pression -1+. 5526682: the whole logarithm thus becomes 
— 2 +.5526682, consisting of a negative integer —2 and a posi- 
tive decimal +.5526682. 

To represent a logarithm which is thus composed of a negative 
integer and a positive decimal, the decimal without its sign + 
is placed immediately after the integer, and the sign — placed 
over the latter. Thus the logarithm of 0.0357 is 2.5526682, 
which is to be understood as equivalent to the expression 
-2+.5526682. 

6. The integral parts of the logarithms of 587 and 0.0357, 
viz. 2 and — 2, were easy to be determined ; the logarithm of 
587 being obviously more than 2 and less than 3, and the loga- 
rithm of 0.0357 being between — 1 and —2. Likewise in every 
case the integral part of a logarithm may be readily assigned. 
To distinguish the integral from the decimal part, the former is 
called the index or more commonly the characteristic of the loga- 
rithm, and the latter the mafitissa. Thus 2 is the characteristic of 
the logarithm of 587, and .7686381 the mantissa; - 2 is the char- 
acteristic of the logarithm of 0.0357, and .5526682 the mantissa. 

6. The general rule to determine the characteristic of a loga- 
rithm is as follows. 

If the number whose logarithm is in question consists of one 
or more integral figures with or without a decimal annexed, the 



(12) INTRODUCTION. 

characteristic of the logarithm is 07ie less than the number of the 
integral figures. 

Thus the characteristic of the logarithm of 504.27 is 2, as 
the integral figures viz. '604 are three in number. And the char- 
acteristic of the logarithm of 2.036 is 0, because the number 
2.036 has one integral figure. 

But if the number be only a decimal fraction, the character- 
istic of its logarithm is negative, and is greater by one than the 
number of ciphers at the beginning of the decimal. 

Thus if the number concerned be the decimal .087, the char- 
acteristic of its logarithm is --2 or as it should be stated 2 ; and 
if the number be .275, the characteristic of its logarithm is I. 

7. In proof of these statements it may be observed that the 
least number having n integral figures is 10""' ; the least num- 
ber having 3 integral figures for example being 10* or 100, the 
least having 4 such figures being 10' or 1000, &c. and as there 
are n integral figures in the number 10""% the number of such 
figures in 10" is n+1. Accordingly if a number has n integral 
figures only, it must be less than 10"*, but cannot be less than 
10"" *, though it may be equal to this. Since then every number 
having n integral figures is either 10"" * or between 10"" ' and 10", 
its logarithm must be either n — 1 or between ?i — 1 and n, that 
is, must be either n — 1 orw — 1+ a decimal ; the characteristic 
therefore is n — 1 ; that is, the characteristic of the logarithm of a 
number having integral figures, is one less than the number of 
integral figures ; as is stated in the first part of the rule given 
above. 

Again, the least decimal number begiiming with n ciphers is 

TTwfT ; the least decimal beginning with one cipher for example 
being .01 or jqjj the least beginning with two ciphers being 
.001 or jq^j &c. and as "np+T is a decimal beginning with n 

ciphers, ttw is a decimal beginning with n - 1 ciphers. Accord- 
ingly, if a decimal begins with n ciphers, it must be less than 

1 1 

■j7p> but cannot be less than jTynr:' though it may be equal to 

this. Since then every decimal beginning with n ciphers is either 



LOGARITHMS. (13). 

IqT^ that is 10"^''+ »^, or between igqr^ and jtj; that is between 

10-t»+i) and 10"*, its logarithm must either be — (n+1) or be 
between -(n+1) and -n, that is, must be either —(n+1) or 
— (n+l)+ a decimal; the characteristic therefore is —(n+1); 
so that the characteristic of the logarithm of a decimal is negative, 
and is one greater than the number of ciphers at the beginning of 
the decimal ; as is stated in the second part of the foregoing rule. 1" 
- . 8. Wiien the characteristic of a logarithm is negative, it is 
often, for convenience, made positive by the addition of 10; 
which can lead to no error, if dt be kept in mind that such a 
change has taken place, and due care be taken to make allowance 
for it afterwards, at a proper time. 

Thus instead of the logarithms 1.8272047, 4.0260108, we may 
write 9.8272047, 6.0260108. 

9. Since we have a rule by which we can readily find the 
characteristic of the common logarithm of any proposed number, 
tables are needed only to furnish the mantissas of logarithms. 
These mantissas have been calculated and arranged in tables to 
such an extent as has been found convenient for practical pur- 
poses. It is unnecessary here to describe the manner of com- 
puting them ; it will be sufficient to show how they are arranged 
for use in the following tables. In describ&ig these tables how- 
ever, it is necessary to refer to certain properties of logarithms 
which will now be stated. 

10. If L, AT, Nj 4*c. be several numbers, and /, m, n, S/'c. their 
logarithms in a system of which the base is 6, the logarithm of 
JLMN i^c, is equal to l-^m-Vn-\-Sfc, 

For from the nature of logarithms, (Art. 1) h^h\ M^lT^ 
N^b-,Src, hence LMiV 4*c. ^ft'ft'"^- ^•c.=ft'+'"+"+4^-: but if 
LMN Sf'c, is the (Z+?n+n+ 4*c.)th power of ft, Z+wi+n+iJrc. 
is the logarithm of LMNS/'c. as was asserted. 

Therefore the logarithm of the product of several numbers 
equals the sum of the logarithms of the numbers, 

ll.^gain, if M and N be two numbers whose logarithms are 
m ^nan, the logarithm of M-^N equals m-n. 

For as ilf =6" and iV=ft% iif-f-iV=ft-'-i-ft"=6""-". 

Therefore the logarithm of the qu^otietit of one number divided 
by another is equal to the logarithm of the dividend diminished 
by thai of the divisor. 

2 



(14) INTBODUOTION. 

12. Again, if A/ is a number whose logarithm is m, the loga- 
rithm of M" is mn. « 

For as M^^b^y M^s^lT* ; but if JIf' is the mnth power of the 
base 6, mn is the logarithm of M". 

Therefore the logarithm of any power of a number is obtained 
by multiplying the logarithm of that number into the number 
denoting the power. 

13. Finally, if Af is a number whose logarithm is m, the log* 

arithm of ilf " is — • 
n 

1 * 
For as M=fc-, Af''=6 • 

Therefore the logarithm of any root of a number is obtained 

by dividing the logarithm of that number by the number denoting 

the root. 

14. The following definition will prepare the way for one or 
two inferences to be drawn from these principles. 

The signijicafit figures of a number are those which remain 
after rejecting all ciphers that occur either at the end or at the 
beginning of the number. 
>c. Thus the significant figures of 8021700 are 8U217; those of 
the decimal .00010408 are 10408. 

15. If two different numbers have the sam>e significa^it figures^ 
occurring in the same order, their logarithms will have different 
characteristics, but the same mantissa. 

For two such numbers may be made alike, by merely re- 
moving the decimal point in one of them to the right or 
left; and as changing the position of the decimal point, is 
equivalent to multiplying or dividing by 10, 100, 1000, &c. 
the greater number must he equal to the smaller one multi- 
plied by some exact power of 10, which we will denote by 10', 
n being a whole number; then (Art. 10) the logarithm of the 
greater number must be equal to the logarithm of the smaller 
number increased by the logarithm of 10"* which is n. Now 
by adding the integer n to the smaller logarithm to obtain the 
greater, we alter the characteristic, but leave the mautife un- 
changed. The logarithms of the two numbers therefore have 
like mantissas with unlike characteristics. Thus the logarithm 
of 108.06 is 2+ o decimal, and that of 1080600 is 6+ the same 
decimal, because 1080600 = 108.06 X 10 « ; also the logarithm of 



\.o 



LOGARITBMS. (15) 

.00203 is —3+ a decimal, while that of 20.3 is 1+ the same 
decknal. # 

16. Again, if the logarithms of two numbers have different 
characteristics, but the same maniissay the significant figures of 
the numbers must be the same, and must occur in the same or- 
der ; and the numbers will differ only as to the position of the 
decimal point. 

For then the difference of the logarithms is a whole num- 
ber, which we may denote by n ; but this difference is the loga- 
rithm of the quotient of one of the nmnbers divided by the 
other (Art. 11); the quotient itself therefore is 10', and accord- 
ingly one of the numbers is equal to the other multiplied by 
10^ ; but a number after being multiplied by any exact power 
of 10 as 10", will have the same significant figures as before, 
and only the position of the decimal point will be changed. If 
for example, the logarithms of two numbers are 2+ a decimal 
and -l-k- the sam£ decimal, and if it be known that the number 
to which the first logarithm belongs is 231.02, then we infer that 
the number to which the other logarithm belongs must be 
.23102. For the difference of the logarithms is the integer 3, 
and the quotient of the greater number divided by the less is 
therefore 10 » ; but the greater is 231.02, as has been supposed; 
therefore the less is 231.02-4-103 = .23102. 

17. What is stated in the two preceding articles will apply to 
the commfion logarithms of numbers only. Such logarithms are 
therefore much niore convenient than others for general use; 
since when tne common logarithm of any number has been 
found, those of various other numbers having the same signifi- 
cant figures are obtained without difficulty, simply by changing 
the characteristic, according to the principles stated above. 



(16) INTRODUCTION. 



Tabl£ of Logarithms of Numbers: pp. 1-153. 

18. This is a table of the numbers 1, 2, 3, &c. up to 100000, 
with the mantissas of their common logarithms, which are also 
the mantissas of the logarithms of other numbers whose signijir 
cant figures fall between 1 and 100000. To these the proper 
cliaracteristicsj omitted for convenience, are to be prefixed ac- 
cording to the rule in Art. 6. 

The first three pages contain all the numbers from 1 to 1000, 
(except those ending with 0,) arranged in columns headed N. 
By the side of each number, in the next column headed Log, is 
to be found the mantissa of its logarithm, carried to seven places 
of decimals ; the decimal point being omitted, and the first three 
figures being separated a little from the other four, for ease ot 
reading. Thus the true mantissa of the logarithms of 8, 37 and 
809, are .9030900, .5682017 and .9079485, respectively. 

In the subsequent pages, in columns on the left and headed 
Num. are all numbers from 1000 to 10000 § the first two figures 
being stated only at convenient intervals, as they are the same 
for several numbers in succession. In the columns headed 
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, are the mantissas of the logarithms of 
numbers carried to seven places of decimals, or rather the four last 
figures only of these mantissas, except in the column headed 0, 
where to some of the mantissas, the first three figures also are given. 
Each mantissa belongs to a number whose first four figures are op- 
posite it in the left hand column headed Num. and whose fifth 
figure stands at the head of the column containing the mantissa. 
And the whole logarithm of this number will be the mantissa 
with the characteristic 4 prefixed. These mantissas will accord- 
ingly be spoken of as the logarithms of the numbers composed 
of five figures in the way just mentioned, the characteristic 4 
being imderstood as prefixed to each mantissa in conformity 
with the rule in Art. 6. 

Wherever the character ♦ occurs, a cipher must be understood. 

The use of the space between the columns headed 4 and 5 is, 
by dividing the page, to facilitate the finding of any column sought. 

Also, at the beginning of each page the figures are made heavier, 
that as we consult the table they may more readily catch the eye. 



TABLE or LOGARITHMS. 



(17) 



In the columns headed Diff, Sf Mult, are several numbers 
placed opposite the nine digits, the number opposite 1 being in 
each case the difference of two consecutive logarithms in the 
table, and those opposite the other digits being corresponding mul- 
tiples of the differences over them. 

19. All this will be readily understood from the following in- 
dication of the meaning of the first part of page 6. 



^nmben. 


Lognritliint. 


Numbers. 


Lofwrithmi. 


11200 


40492180 


11212 


40496831 


11201 


4.0492568 


■ • . • 




11202 


40492956 


11218 


40499154 


11203 


40493343 


11219 


40499541 


11204 


40493731 


11220 


40499929 


11205 


40494119 


11221 


40500316 


11206 


40494506 


11222 


40600703 


11207 


40494894 


• • • ■ 


• ••••• 


11208 


40495281 


11229 


40503411 


11209 


40495669 


11230 


40503798 


11210 


40496056 


11231 


40504184 


11211 


40496444 


dec. 


<kc. 



V 



Here it is seen that the leading figures 049 are those, not only 
of the mantissa of the logarithm of 11200, but also of all the 
following ones that come before the mark ♦. ^ 

This mark ♦ which stands for 0, is used to give notice that for 
the mantissa in which it occurs, and for all succeeding mantissas 
to the end of the line, the three leading figures are to be found in 
the next lower line and under an asterisk standing opposite the 
character ♦ ; whereas in other cases, the three leading figures of 
any mantissa are in the same line with the other four, or are the 
first to be found in a preceding line. 

The use of the asterisk in connexion with the sign ♦ , is to 
mark more distinctly the line in which a change takes place in 
the three leading figures of the mantissa. 

20. The difierence of the first two mantissas on the page be- 
fore us, which are .0492180 and .0492668, is if we neglect the 
decimal point, 388 ; the next difierence viz. that of 0492568 and 
0492966, is also 388 ; the next is 387 ; and so on in the following 
series, 388, 388, 387, 388, 387, 388, 387, 388, 387 ; these differen- 
ces being found smaller and smaller as we proceed to the bottom of 
the page, where the difference between two consecutive mantissas 

c 2* 



(18) INTROnnCTIOH. 

is 368. Now the diiferences 388, 387, 386, 385, &c. are placed 
ill the cohimn headed Diff, ^ MuU, each opposite the Dumber 1 ; 
and the miiltiples of each difference by the numbers 2, 3, 4, . . . 9, 
are placed under that difference, and opposite these multipliers, 
llie use of the multiples and differences will be stated below. . 

Prom page 22 onward, there is a column marked Diff. which 
contains simply the differences between consecutive logarithms 
in the table, and is of but little use. 

The manner of using the table of logarithms, may now be con* 
veniently explained. 



^v 



To find the logarithm of a given number. 

21. If after rejecting ciphers at the beginning or end of the 
umber when they occur, there are not more than three remaiib- 

ing figures, these figures are to be found in one of the columns 
headed N, on one of the first three pages of the table, and op- 
posite them, in the next column headed Log. will be found 
a number which witli the decimal point prefixed is the mantissa 
of the required logarithm, carried to seven places of decimals. 
The characteristic of the logarithm must be supplied according 
to the rule in Art. 6. 

The first three pages of the table are to be used only in the case 
just specified. The remainder of the table must be employed in 
every other case, and is available in that case also, though not so 
convenient then as the first three pages. 

If then the first three pages of the table be disregarded, the 
general method of finding the logarithm of a number is the 
following. 

22. First suppose the given number to consist oi five integral 
figures not followed by a decimal. 

The first foiu figures of the number will be found on the left 
in the column headed Num. of one of the pages of the table : 
and if the fifth figure is 0, the required logarithm carried to 
seven places of decimals, will be found opposite the first four fig- 
ures in the next column headed ; or at least the four last of the 
decimal figures will be found there, and the place of the three 
leading figures when vacant, must be supplied by those of the 
first previous logarithm in which all the seven decimal figures 
appear : but if the fifth figure of the given number is one of the 
nine digits^ it will be found at the top of one of the nine columns 
which follow the column headed 0, and under this fifth figure 



TABLE OF LOGARITHMS. (19) 

and opposite the first four will be found the last four decimal fig- 
ures of the logarithm sought : the three leading figures are to be 
looked for in the column headed 0, and opposite the other four ; 
and if not found there, they may be found a little above in the 
same colunm, unless the character ♦ either stands in place of one 
of the four decimal figures first obtained, or is somewhere on the 
left in the same line with them, in which case the three leading 
fiigures are to be found directly under an asterisk, that stands op- 
posite the mark ♦ . The proper characteristic viz. 4, is to be pre- 
fixed to the seven decimal figures. 

Thus the logarithms of 57100, 10350, 57680, 57708, 42083, 
44978, 23449, are 4.7566361, 4.0149403, 4.7610253, 4.7612360, 
4.6241067, 46530001, 4.3701243, respectively. 

23. Next if the number concerned consist of Jive integral fig- 
ures with a decimal fraction annexed, find the logarithm of the 
fiive integral figures by the preceding rule, and to this add a cor- 
reciion for the additional decimal ; which is found by multiply- 
ing the decimal into the difierence between the logarithm taken 
from the table and the following one. 

Thus the logsurithm of 10800.76 is found by taking the loga- 
rithm of 10800 from the table, and increasing this logarithm by 
the product of .76 into the difference between the logarithm or 
10800 and the next one in the table, viz. that of 10801. Now 
the logarithm of 10800 is 4.0334238, and that of 10801 is 
40334640 ; their difierence viz. 402 multiplied into .76 gives 
305.52, which we may call 306, taking the nearest whole num- 
ber. This added to 4.0334238 will give 40334544 for the log- 
arithm required. 

It will be observed that the difierence 402 has been regarded 
as a whole number, whereas it is really a decimal, the last figure 
2 belonging to the seventh decimal place. But this can lead to 
no error, if after obtaining the correction 306 we make its last 
figure fall in the seventh decimal place when we add it to the 
logarithm 4.0334238. 

The logarithms of 87012.9 and 27018.61 found in this way, 
are respectively 49395836 and 44316630. 

24. The rule given for correcting a logarithm as found for five 
integral figures of a number, on account of an additional decimal, 
is derived from the consideration, that whatever is the difference 
between the logarithms of one number and the next in the table, 
the difference between the logarithms of the second number and 



(20) INTBODUCTION. 

the succeeding one is the same, or is only one less ; and so on : 
for, if for the difference of a unit in two numbers there is a cer- 
tain difference in their logarithms, and for a difference of two in 
the numbers, twice the former difference in the logarithms, and 
so on, then we may infer that for half a unit added to the least 
number, there should be added to the logarithm of that number 
half the difference between this logarithm and the next, and in 
short, for any decimal part of a unit added to the .least number, 
there should be added to its logarithm a proportional part of the 
difference between this and the next logarithm. 

For example, the logarithm of 27018 is 4.4316532, that of 
27019 is 4.4316693 which exceecjs the former by 161, and that 
of 27020 is 4.4316853, being 160 greater than the preceding and 
321 greater than the first logarithm : if then with an addition of 
one to the number 27018 there is an addition of 161 to its loga- 
rithm, and with an addition of two the addition to the logarithm 
is very nearly twice as great, an addition of .61 to the number 
should give an addition of .61 X 161 to its logarithm. 

25. The logarithmic correction for the decimal part of a num- 
ber may be considered as made up of corrections for the several 
figures of the decimal ; and instead of multiplying the whole 
decimal at once into the difference of the logarithms concerned, 
we may multiply this difference by the first figure of the decimal, 
and as this figure stands for tenths^ divide the product by 10, 
which will give the correction due to the first decimal figure ; 
then multiply the difference by the second figure and divide by 
100, to obtain the correction for that figure ; next multiply by 
the third figure and divide by 1000, to obtain the correction for 
the third figure, and so on ; and lastly take the sum of all these 
partial corrections, for the total correction required. 

But the labor of such multiplications may be saved by using 
the columns of differences atid multiples given in the table ; for 
among these differences we may find the diffei-ence between any 
two consecutive logarithms of the table, and under it, its multi- 
ples by all the numbers 2, 3, 4, 5, 6, 7, 8, 9. 

26. To obtain by this means the logarithmic correction due 
to the decimal part of a number, find the difference between the 
logarithm to be corrected and the next, look for that difference 
under the heading Diff, 6f Mult, and from it together with its 
eight multiples as found there, select the numbers corresponding 



TABLE or LOGARITHMS. (21) 

to the different figures of the decimal ; then having divided the 
number which belongs to the first decimal figure by 10, that 
which belongs to the second by 100, and so on, add together 
the quotients ; their sum will be the required correction. When 
one of the figures in the decimal concerned is 0, there will of 
coarse be no partial correction due to it. 

To find for example, the logarithm of 98741.207. 

The logarithm of the whole number 98741 is 4.9944975 ; the 
difference between this and the next tabular logarithm is 44 ; 
under 44 in the table of differences and multiples and opposite 2 
is the number 88, which divided by 10 gives 8.8 for the first par- 
tial correction ; the second figure in the decirrial .207 being 
may be disregarded ; for the third figure the correction is .308, 
as 308 is the multiple opposite 7. The whole correction then is 
8.8 +.308 = 9. 108 or 9 nearly; and the required logarithm is 
49944984. 

It is more convenient and sufficiently accurate to take account 
of one decimal figure only, in each partial correction. Thus 
in place of .308 in the preceding example, may be substituted 
simply .3. 

y' 27. In ascertaining the difierence between one logarithm in 
the table and the next, it will generally be sufficient to find the 
last figure of this difference ; for this will show which of the dif- 
ferences at hand under the heading Diff. S/" Mult, is the one to 
be employed, as two that end with the same figure are not to be 
found near each other any where in the table. Thus in the case 
of the example preceding, the difference between 9944975 and 
9945019 is obtained by taking 5 from 9, which shows that the 
difference ends with 4, and then looking in the table of differ- 
ences and multiples for the nearest difference ending thus, which 
is found to be 44 

28. If the number whose logarithm is sought has four or more 
decimal figures, the logarithmic correction due to all after the 
third will be extremely small, and the required correction may 
be obtained with sufficient accuracy from the first three figures ; 
the third figure ought however to be increased by one, when 
the first neglected figure is 5 or more. Thus instead of the num- 
bers 27109.345502, 10340.189601, we may employ 27109.346, 
10340.19. 

29. We have hitherto supposed the number whose logarithm 
is sought, to have five integral figures with or without a decimal 



(22) INTBODUCTION. 

annexed ; but if this is not the case, we may proceed to find its 
logarithm as if the first five of its significant figures were integral 
and the rest decimal, only taking care to substitute instead of the 
characteristic 4, the true characteristic of the logarithm of the 
given number as determined by the rule in Art. 6. For the loga- 
rithms of numbers having the same significant figures differ only 
with respect to the characteristic, as has been shown in Art 15. 

If the number proposed has less than five significant figures, 
the deficiency may be made up by the addition of ciphers. 

30. The use of the table will now be illustrated by a few ad* 
ditional examples. 

To find the logarithm of 870368.63. 

Logarithm of 87035 without the characteristic, .9396939 
Addition for first figure of .863 .... 40 

" second " . . . . 3 

« third " .... 0.2 



Logarithm of 870368.63 with proper characteristic, 6.9396082 

To find the logarithm of 0.14031897. 

Logarithm of 14031 1470886 

Correction for first figure of .897 . • . 248 

" second " .... 27.9 

" third « ... 2.2 



Logarithm of .14031897 .... L1471164 

To find the logarithm of 20.2147839. 

Logarithm of 20214 3056623 

Addition for first figure of .784 .... 149.8 

" second " .... 17.1 

" third " .... .9 



Logarithm of 20.2147839 .... 1.3066691 

To find the number answering to a given logarithm. 

31. First suppose the characteristic of the logarithm to be 4 ; 
the number sought will then have five integral figures. The 
first three figures of the given mantissa are to be found in a col« 
umn headed 0, and the other four are to be looked for in the 
same column or in one of the nine following columns ; and if 
they are there, the number sought will consist only of five in- 
tegral figures, the last of which will be found over the four final 



TABLE OF LOGABITHMS. (23) 

figores of the mantissa, at the head of the column, and the other 
four vill be found opposite the same final figures, in the column 
on the left headed Num. ; supposing the vacant places of that 
column to be fiUed with their appropriate figures. 

Thus the number answering to the logarithm 4.3321758 is 
obtained by turning to a part of the taUe where the leading 
decimal figures of the logarithm are 332, as in page 23 ; we find 
there a mantissa exactly equal to the given one viz. 3321758, and 
supplying 4 the omitted characteristic of the table, we have 
the given logarithm 4.3321758 ; the number answering to which 
is 21487. 

In like manner the numbers answering to the logarithms 
45274108, 4.8430022, 4.5270883, 47869643, will be found to 
be 33683, 69663, 33658, 61230. 

But if the given logarithm is not to be found in the table, 
fidling between two consecutive logarithms found there, then the 
five integral figures of the number answering to the least of these 
logarithms, taken from the table as in the preceding case, will 
form the integral part of the required number ; to which is to be 
annexed a decimal correction, for the excess of the given loga- 
rithm above the tabular one that answers to the five integral fig- 
ures. The correction is found by dividing the difierence of the 
given logarithm and the tabular logarithm next below it, by the 
difference between the two tabular logarithms next above and 
next below it 

This correction depends upon a comparison of the given loga- 
rithm with the two in the tables between which it falls, and is 
derived from the following proportion, which though not strictly 
accurate is nearly so. 

The difference between the tabular logarithms, is to the differ- 
ence of the corresponding numbers which is 1, as the difference 
between the least of these logarithms and the given one, to the 
difference of their corresponding numbers. 

As the third term is less than the first, the fourth will be less 
than the second, that is less than 1. This term, which is found 
by dividing the third term by the first, when annexed as a deci- 
mal to the five integral figures corresponding to the least of the 
two tabular logarithms, will give the number sought. Thus, 
if we seek the number whose logarithm is 4.7875397, this loga- 
rithm not being in the table, we find there two consecutive man- 
tissas .7875384, .7875455, that with the addition^f the omitted 



(24) INTRODUCTION. 

characteristic 4 form two logarithms, of which one is greater and 
the other less than the given one ; the number ans'WQering to the 
least of these is 61311, which is the integral part of the required 
number ; to find the decimal part, we divide the difference be- 
tween 397 and 384, by the difference between 455 and 384 ; the 
quotient viz. 4f or .183 nearly, added to 61311 gives 61311.183 
for the number sought. 

32. In converting 4 f to a decimal fraction by the common 
method, we annex a cipher to 13, and for the first decimal figure 
take the number which multiplied by 71 will equal 130 or fall 
just below it ; then after subtracting the product from 130 and 
annexing a cipher to the remainder, we proceed in the same way 
to find a second decimal figure, and so on. 

Now this process may be shortened, by aid of the table of dif- 
ferences and multiples : for in that we find the difference 71 to- 
gether with its multiples by all the digits 2, 3, ... 9 ; having 
then annexed a cipher to 13, we see by glancing at these multi- 
ples, which one equals or falls next below 130 ; the digit oppo- 
site this is the first decimal figure sought ; we then subtract this 
multiple from 130, and after adding a cipher as before, look again 
for the next lower multiple, opposite which is the second dec- 
imal figure sought ; and so on. 

Should any remainder, after having a cipher annexed, fall be- 
low the difference 71 itself, the decimal figure sought will be 0, 
and we may proceed immediately to find the next, by annexing 
an additional cipher to the remainder. 

33. If instead of aimexing ciphers to the remainders and sub- 
tracting the entire multiples, we leave the remainders unaltered 
and divide the multiples by 10, 100, 1000, &.c. we shall obtain the 
same or very nearly the same result. It will be best, however, 
not to do this till after the first decimal figure is obtained. Thus 
in the preceding example, after obtaining the first decimal figure 
1 and subtracting the corresponding number 71 from 130, we 
may seek the multiple which divided by 10 or with the omis- 
sion of its last figure, shall equal or just fall below the remainder 
59 ; this we shall find to be 568, opposite which is the digit 8, 
the second .decimal figure sought ; 668 divided by 10 is 56.8 or 
nearly 57 ; this taken from 59 leaves 2 : we are now to look 
for the multiple which divided by 100 shall differ least from 2 \ 
this is 213, opposite which is the number 3, the third decimal 
figure sought* 



VI- < ■ - I ) \ (l^\ ■ 



TABLE 07 LOGARITHMS. O^^^l 

In like manner let the numbers answering to the logarithms 
4.8111890 «nd 4.1610157 be fomid: they are 64742.433 and 
14488.243. 

34. We have thus far supposed the characteristic of the given 
logarithm to be 4. 

But if the logarithm have a different characteristic, we must 
seek the corresponding number as if the characteristic were 4, 
and instead of so placing the decimal point that the number shall 
have five integral figures, give it the position recjuired by the true 
characteristic of the logarithm according to the rule in Art. 6 : 
for if two logarithms differ only in their characteristics, the num- 
bers answering to them will have the same significant figures, 
and will differ only as to the positions of their decimal points. 

Thus to find the number whose logarithm is 3.9595809, look 
for it as if the characteristic of the logarithm were 4 ; but instead 
of placing the decimal point after the fifth figure, place it after 
the fourth, so that the number of integral figures may be one 
greater than the characteristic 3. The number so obtained will 
be 9111.3124. 

In like manner shall we find that the numbers answering to 
the logarithms 1.6360175, 2.7583012, are .43253129, .057319343, 
respectively. "* 

35. We have then this generai rule for finding the number 
answering to a given logarithm. 

If the mantissa of the logarithm is to be found in the table, 
look opposite it in the column headed Num, on the left, for the 
first four figures of the number sought, and over it for the fifth 
figure. Then determine the place of the decimal point from the 
characteristic of the logarithm, according to the rule in Art. 6 ; 
annexing or prefixing ciphers, if necessary. 

But if the mantissa of the logarithm proposed is not to be found 
in the table, take the one next below it ; opposite this will be 
found the first four figures of the required number, and over it 
the fifth : then to find a few additional figures, (not more than 
three,) take the difference between the mantissa of the given log- 
arithm and the mantissa next below it in the table, and also the 
difference between the latter and the next greater one in the ta- 
ble ; look under the heading Diff, 8f Mult, for the latter differ- 
ence, and from it with its eight multiples given there, select the 
number which is either equal to the former difference multiplied 

D 3 



(26) INTRODUCTIOK. 

by 10 or just below it ; opposite this number will be found the 
sixth figure sought; subtract the number from the difference 
thus multiplied) and look for the largest multiple which divided 
by 10 gives a quotient less than the remainder or equal to it ; 
opposite this multiple will be the seventh figure of the required 
number ; find the difierence of the quotient and remainder, and 
look opposite the multiple which divided by 100 comes nearest 
this difference, for the eighth figure. 

36. A few examples are subjoined in illustration of the rule. 

To find the number whose logarithm is 6.8110210. 

First five figures of number sought 64717 

whose logarithm ends with 184. 

First additional figure for diff. of 210 and 184 3 

found opposite the multiplier 201. 

Second additional figure for diff. of 260 and 201 ...... 8 

opposite which is 636. 

Thirdadditionalfigurefordiff.of 69and53.6or 54 7. 

Eight figures of the number then are 64717387 ; 

and the number itself is 6471738.7, having seven integral figures, 
because 6 is the characteristic of the logarithm. 

To find the number whose logarithm is 3.4172019. 

First five figures of number sought 26133 

First figure of correction for diflf. 126 7 

opposite which is 1162. 

Correction for diff. of 1162 and 1260 5 

opposite which is 830. 

Correction for diff. of 98 and 83 9. 

Then as the given characteristic is 3, the required number is 
.0026133759. 

The numbers answering to the logarithms 2.7866943, 
0.0294236, 2.4220180, 8.7230263, are in like manner found to 
be 611.7786, 1.070098, .026426183, 628477220. ^ 



TABLE OF LOGARITHMIC 9INE8) ^C. (27) 

Table of Logarithmic Sines, Tangents, &c. pp. 165-277. 

37. This is a table of the logarithms of sines, tangents, se- 
cants, cosines, cotangents and cosecants, carried to seven places of 
decimals. These logarithms are called logarithmic or artificial 
sines, tangents, &c. to distinguish them from the sines, tangents, 
&c. themselves, which are called natural sines, tangents, &c. 

The natural sines, tangents, &c. are some of them greater and 
others less than unity. Their logarithms must accordingly have 
characteristics of which some are positive and some negative. 
In order to render these all positive, it has been found convenient 
to increase each one by 10 l no error can result from this if we 
always bear in mind that they have been thus altered. 

The frst two pages viz. 166 and 157, being of a different 
character from the rest, and indeed not a necessary part of the 
table, may be here left out of view, to be subsequently described. 

For the first 90 pages, that is from page 158 to page 247, the 
sines, tangents, &c. are given at intervals of 10 seconds ; for the 
remainder of the table, at intervals of one minute. At the top and 
bottom of each page are numbers in heavy type, denoting degrees ; 
next, in an abbreviated form, are the titles of the columns of num- 
bers of which the body of the page is composed ; in the right 
and left hand columns are numbers denoting minutes and tens of 
seconds for the first 90 pages, and minutes only for the remain- 
ing pages : in the former case, the minutes are printed in heavier 
type and with the mark ', to distinguish them from the numbers 
10, 20, 30, 40, 50 denoting tens of seconds. 

To find the sine, tangent^ ifc. of a given arc 

38. The following is the rule for finding the sine, tangent, 
&c. of a given number of degrees and minutes, from 0° to 180^. 

Look for the degrees at the top or bottom of the page, and in 
the column at the side of the page under or over the degrees 
thus foimd look for the minutes : then if the degrees are at the 
top, look for the name of the required number at the top, other- 
wise at the bottom of the page ; in the column under or over 
this name, and opposite the minutes already found, will be the 
number sought 

Thus to find from the table the sine of 18° 20^, we first look for 
18^ which we find at the top of the 251st page, and in the col- 



(28) INTBODUCTION. 

umn iinder this at the side of the page ve look for 2(K : we then 
look for the name of the required number viz. sincj at the top of 
the page, because 18*^ is there; and in the column under the 
name aiyie and opposite the 20 minutes, we find the required 
number which is 9.4976824 ; the omitted characteristic 9. being 
supplied. 

The characteristic when omitted is always to be supplied as 
here. 

In like manner it will be found that the cotangent of 126^ 44^ 
is 9.8729032, the secant of 89° 2' is 11.7728665, and the cosine 
of 175° 47' is 9.9988228. 

If there are tens of seconds in addition to the given number 
of degrees and minutes, and the degrees are found on one of the 
first 90 pages, then by a similar method to the one just stated, 
we may find the sine, tangent, &c. of this number of degrees, 
minutes and seconds. We are to look for the degrees and min- 
utes as before, and then finding the seconds between the given 
number of minutes and the next greater number of minutes, look 
opposite them for the number sought. Thus the cosine of 
14° 5' 40'' is 9.9867250, the omitted figures 9.986, being sup- 
plied ; and the tangent of 100° 37' 20" is 10.7268913. 

39. In all other cases the given number of degrees, minutes 
and seconds will not be found exactly in the table ; but the given 
number of degrees and minutes, and frequently the even tens of 
seconds also, will be found there, with the corresponding sine, 
tangent, &c. and next to this sine, tangent, &c. will be found 
the sine, tangent, &c. for one minute or as the case may be for 
10 seconds more ; and the required sine, tangent, &c. will fall 
between the latter and the former : to obtain it, take from the 
table the former sine, tangent, &c. viz. that which belongs to 
the given number of degrees and minutes, or degrees, minutes, 
and even tens of seconds ; and for the additional seconds prepare 
a correction, by multiplying them into the number that is found 
in the nearest column headed diff. 1', opposite the place where 
the number sought would fall if inserted in the table : then if 
the tabular number to be corrected is the least of the two consecu- 
tive ones between which the required niunber falls, the correction 
thus obtained is to be added to it ; but if it be the greatest, the 
correction is to be subtracted from it. 

Thus to find the tangent of 19^ 27' 45".4, take from the table 
the tangent of 19^ 27' which is 9.6479430. and for the seconds 



TABLE OF LOGARITHMIC SINES, &C. (29) 

46^'.4 obtain a correction by multiplying 45.4 into 67.03 the 
number found in the nearest column headed dif. 1'' opposite the 
jdace where the required tangent would fall if inserted in the 
table ; for it would fall between the tangents of 19° 27' and 19° 
28'. The correction thus obtained is 3043.162 or 3043 if the 
fraction .162 be neglected. Then as the tangent of 19° 27' is 
less than that of 19° 28', the tangent sought is 9.5479430+3043 
or 9.5482473, the correction being applied to the decimal part of 
the tabular number, as it should always be. 

40. In explanation of the preceding rule, it may be observed 
that as the sines, tangents, &c. in the table, for the first 90 pages, 
are given at intervals of 10 seconds, the difference between any 
two consecutive ones is a difference for 10 seconds ; and the part 
of this difference due to each of the 10 seconds would be a tenth 
of it, if the differences were the same for all intervals of the same 
number of seconds : though this is not strictly true to any extent, 
yet if we regard it as true for an extent only of 60 seconds or less, 
the resulting error in most cases will be extremely small. Ac- 
cordingly, in the first 90 pages of the table, one tenth of each dif- 

. ference between two consecutive numbers is given, with the im- 
plied assumption that it would be the difference of consecutive 
sines, tangents, &c. for intervals of 1" each, near the place where 
it occurs. 

And in the latter part* of the table, where the intervals are a 
ndntUe each, the differences given for 1" are the numbers which 
result from dividing the differences of the consecutive sines, 
tangents, &c. by 60. 

Having thus the variations of sines, tangents, &/C. given for 
intervals of 1", we can readily 6nd by multiplication the varia- 
tions for any small number of seconds, and thus from a tabular 
sine, tangent, &c. near the required one, obtain the required one 
itself, by applying ^o the former a correction for the number of 
seconds' interval between the two. 

The number of seconds for which a correction is required wiU 
always be less than 60. 

41. It will be seen that each column of differences is made to 
answer for the two columns of tabular numbers on each side of 
it ; one for sines and cosecants, another for tangents and cotan- 
gents, and a third for secants and cosines. The reason of this 
will be obvious if we consider that the natural sine of an angle 
multiphed by the cosecant of the same angle, equals the square 

3* 



(30) INTRODUCTION. 

of the radius or unity ; that the logarithm of the sine added to 
the logarithm of the cosecant accordingly equals which is the 
logarithm of unity ; and if 10 be added to the logarithmic sine 
and cosecant severally, their sum will become 20. The sum of 
the numbers given in the table for the sine and cosecant of the 
same angle, should then be 20 in every case ; and if in passing 
through an interval of V or any number of seconds, the sine in- 
creases by a certain amount, the cosecant must, for the same in- 
terval of variation, decrease by the same amount. The corres- 
ponding sines and cosecants therefore vary by equal differences, 
but in opposite ways. 

The same may be said of tangents and cotangents, and also of 
secants and cosines. 

42. In finding a correction to be applied to a tabular number, 
we may perform the required multiplication in an abbreviated way. 

Let the figures of the multiplier be taken in an inverted order, 
and let the unit figure be put under the place of tenths in the 
multiplicand ; then if each figure of the multiplier be multiplied 
into the figure above it and into all the preceding figures of the 
"multiplicand, the following ones being neglected, we shall have 
several partial products, in each of which the last figure belongs 
to the place of tenths, and the sum of which, if we neglect the 
final figure, will be the whole correction sought. 

For example, if the difference for V taken from the table is 
67.91, and the number of seconds for which the correction is to 
be made, 17^^32, the method of procedure is as follows. 

67.91 
23 71 



679.1 

475.3 

20.1 

1.2 



1176.7 

The correction therefore if we take the nearest whole num- 
ber is 1176. 

Instead of wholly neglecting portions of the multiplicand in 
the manner specified above, it will be better to regard them so 
far as is necessary to see what number must be carried from each 
to make the right hand figure of every partial product as correct 
as may be. 



TABLE or LOGARITHMIC SINES, &C. (31) 

This method of multiplication may be applied to the preceding 

example thus, 

67.91 
23 71 



679.1 

476.4 

20.4 

. 1.4 



1176.3 
The integral result viz. 1176, does not differ from that before 
obtained : but in some cases one or two units would be gained 
in accuracy by the change in question. 

43. Two or three examples may now be given, in further il- 
lustration of what may be deemed the best method of using the 
table of sines, tangents. &c. 
To Jind the cosine of 123° 11' 26".7. 
cos. 123° ll'=9.7382412, 

diff. 1"=32.18, to be multiidied as below by 26.7. 
32.18 
762 



643.6 

19ai 

22.6 



869.2 
The resulting correction 869, added to the above tabular number, 
gives 9.7383271 for the required cosine. 
To find the cosecant of 79° 14' 17".3. 
cosec. 79° 14' 10"= 10.0077094, 

diff. 1"=40, which multiplied by 7.3 
gives the correction 29. This taken from the. tabular number to 
be corrected, leaves 10.0077066 for the cosecant sought 
To find the tangent of 168° 36' 47".8. 
tang. 168° 36' 40"=9.3041318, 
diff. 1"= 108.7, 

108.7 
87 



760.9 
87.0 

ML9 



(32) INTRODUCTION. 

Subtracting the conection 848, we obtain 9.3040470 for the tan- 
gent sought. 

To find the arc answering to a given sine^ tangent, S^c, 

44. As the sines, tangents, &c. given in the table are those of 
an exact number of degrees and minutes, or degrees, minutes 
and tens of seconds, if the proposed number happens to be the 
same with one of those in the table,«it will of course be the sine, 
tangent, ^c. of an exact number of degrees and minutes, or of 
degrees, minutes and tens of seconds. 

Then look for the given sine, tangent, &c. in a column of the 
table over or under the appropriate name ; and if it is found there, 
the number of degrees required will be found at the top or bottom 
of the page, according as the name of the given number is at 
the top or bottom of the column in which it is found; and 
under or over the number of degrees, in the column at the 
side, the required number of minutes or as the case may be of 
minutes and tens of seconds, will be found opposite the given 
number. Thus the sine 9.9651953 will be found to be the sine 
of 67° 22'. For, looking in the columns marked sin. at the 
top or bottom, we find the proposed number on page 255, in a 
column having the title sin, at the bottom ; we therefore take 
the number of degrees given at the bottom of the page viz. 67°, 
and over this number of degrees, in the right-hauid column, we 
find 22 standing opposite the given sine, for the required number 
of minutes. 

In like manner shall we find that the tangent 9.3178527 is 
the tangent of 11° 44' 40^', the secant 10.8585473 is the secant 
of82°2'20''. 

45. There are two numbers of degrees at the top and also at 
the bottom of each page, one less and the other not less than 90°. 
Their sum is, invariably 179° ; and under or over each is a col- 
imm of minutes or of minutes and tens of seconds, at the side 
of the page, so arranged that the sum of every two opposite num- 
bers in the two columns is 60' or 1°. This added to the for- 
mer sum makes 180° ; so that the number of degrees and niin- 
utes, as found on the right, is in every case the supplement of 
the corresponding number of degrees and minutes found on the 
left hand 



TABLE OF LOGARITHMIC SINES, ^C. (33) 

Either of these numbers belongs as properly to the sine, tan- 
gent, &c. corresponding to it in the table, as the other ; for the 
sine of an angle and that of its supplement are the same : so 
is it with the cosecant. Also the cosine of an angle and that 
of its supplement agree in numerical value, though they have 
opposite signs. The same is true of the secant, tangent and 
cotangent. 

But in practice, the nature of each case will generally deter- 
mine whether the required number of degrees is or is not less 
than 90<^. 

46. If the proposed sine, tangent, &c. is not to be found ex- 
actly in the table, there are however two successive ones between 
which it falls ; look for these, and taking that which is op- 
posite the least number of minutes or tens of seconds, find the 
corresponding number of degrees and minutes, or degrees, min- 
utes and tens of seconds, as in the preceding case ; and to correct 
this for the difference between the tabular sine, tangent, dz^. just 
spoken of and the given one, add such a niunber of seconds as 
shall result from dividing that difference by the difference for V^ 
as found at the proper place in the table. The sum will be the 
required number of degrees, minutes and seconds. 

Thus, to find the number of degrees, minutes and seconds 
answering to the sine 9.9766321. 

On the 251st page, in the column marked sin. at the bottom, 
will be found two consecutive numbers between which the pro- 
posed sine falls, one opposite 22 the other opposite 23 minutes ; 
taking the former, we find 71^ 22^ for the corresponding number 
of degrees and minutes : the difference between the given sine 
and 9.9766171 is 150 ; this divided by 7.10 the difference for 1" 
as found in the table, gives 21'M3 for the number of seconds 
which must be added to 71^ 22^ to make up the required num- 
ber of degrees, minutes and seconds. 

In like manner the cosine 9.8055233 will be found to be the 
cosine of 50° 16' 48".88 ; the tangent 9.3768555, the tangent of 
130 23' 44^21; the cosecant 10.0059330, the cosecant of 
BfP 33' 03M4 

In each of these cases there is also a number of degrees, min- 
utes and seconds greater than 90^, answering to the proposed 
gine, tangent, &c. 

-E 



'<'t> 



/.• 



,,, ;^^ 



(34) INTEODUCTION. 

47. The number of seconds to be obtained by division accord- 
ing to the preceding rule, may be found most conveniently by 
cutting off figures from the divisor, instead of annexing ciphers 
to the dividend when there would be occasion for this in the 
common mode of dividing. It will be best however to add one 
cipher to the dividend at the outset. And when the dividend 
is thus multiplied by 10, if we multiply the divisor also by 10, 
the value of the quotient will not be affected. 

Now for the first 90 pages of the table, the divisors (which are 
the tabular differences for 1^^,) have one decimal figure^ and mul- 
tiplying them by 10 makes them all integral. So far as these 90 
pages are concerned, the following example will serve to show 
how the division is to be performed. 

Let 2442 be the number to be divided, and 335.3 the tabular 
difference for 1'' by which it is to be divided. Then annexing a 
cipher to 2442 and dividing by the whole number 3353, we ob- 
tain 7 for the first figure of the quotient and 949 for a remainder ; 
if the division is continued, the rest of the quotient will be a 
decimal : to obtain the next figure, instead of annexing a cipher 
to 949, we cut off the right hand figure of the divisor and divide 
949 by 335 ; the quotient is 2 : this multiplied by 336 gives 670, 
and if we have regard to the figure cut off, so far as to see what 
ought to be carried from it to the product obtained from the other 
figures, we find that this poduct must be increased by 1, as six 
tenths is nearer one than nothing] then subtracting 671 from 
949 we find the remainder 278, which divided by 33 gives 8 for 
the third quotient figure ; multiplying by this and carrying 4 as 
we should do, we obtain 268 ; this taken from 278 leaves 10, 
which divided by 3 gives 3 for a fourth quotient figure. This 
process may be exhibited as follows. 

3353)24420(7.283 
23471 



949 
671 

"278 
268 

"lo 

10 
It will hardly ever be worth while to seek for more than two 
decimal figures. 



TABLE OF LOGARITHMIC SINES, AC. (36) 

48- From page 248 onwards, the tabular differences for V are 
carried to. two places of decimals. If these when used for divi- 
sors be regarded as integral after the dividend is multiplied by 
10, the quotient will be ten times too small ; but it may readily 
be made correct by changing the place of the decimal point. 

For example, to find the quotient of 1182 2148)11820(5503 
divided by 21.48, we may divide 11820 by 10740 

2148, as in the scheme annexed, which 

will give us the figures of the required quo- 1080 

tient ; but in order that they may have their 1074 

local values, the decimal point must be put 

after the second figure instead of the first. 6 

The quotient as thus determined is 55.03. 6 

(^ 49. The following examples may be of use in illustrating 
what precedes. 

Required the number of degrees^ minutes and seconds^ whose 
sine is 9.7035391. 

The number 9.7035329 is the sine of 30° 21' ; the difference 
between 29 and 91 is 62 ; the tabular difference for i'' is 36.95. 
Then, 3595)620(1.72 

360 

200 
252 

~8 
7 
The answer therefore is 30^ 21' 1''.72. 

Required tlie number of degrees^ minutes and seconds, whose 
cotangent is 10.8683783. 

10.8686308 is the cotangent of 7° 42' 30"; the difference of 
6308 and 3783 is 1525; the tabular difference for 1", 158.4 
Then, 

1584)15250(9.63 
14256 



994 
960 

~44 
48 
The answer therefore is 7^ 42' 39".63. 



, (36) \^ INTRODUCTION. 

^ ^ We may now explain the use of pages 156 and 157. 

60. By taming to page 158 and several of the following pages, it 
will be seen that the numbers in the columns marked diff. V^ vary 
rapidly, the difference for the first interval of KK' being infinite, 
for the next 301030, for the next 176091, &c. whereas these 
differences further on in the table vary slowly, being nearly the 
same for several successive intervals of 10''. Now in cases where 
the sine, tangent, &c. are not found in the table, we cannot deter- 
mine them accurately by the rules we have given for the purpose, 
^ unless the differences in question vary slowly ; as those rules are 

founded on the supposition that the differences are, for short dis- 
^ tances in the table, nearly uniform. Accordingly, the 156th and 
157th pages are prepared as a substitute for the twelve subsequent 
pages, to be used when strict accuracy is required. 

In the columns headed sin. tan. cot. cosec. are given the loga- 
' ^ rithmic sines, tatigents, cotangents and cosecants, to every minute 

of ttoo degrees : the columns headed sec, and cos. contain the 
\ , corresponding secants and cosines; of these however, all the 

^ figures except the last four are in each case to be found at the 

head or at the foot of the colunm. The left hand colunrn of 
page 156 presents the number of seconds in each number of min- 
utes opposite it in the next column. And in the left hand co- 
lumn of page 157, is given the number of seconds for every num- 
ber of minutes from 1^ or 60' to 2^^ or 120'. 

Under the heading y - » are two colunms of numbers, each 
^ consisting of four figures that are to be preceded by the figures 

4.685 which stand above and below these columns. Each num- 
ber in the first of these two columns is the excess of a logarithmic 
sine opposite and adjacent to it, above the logarithm of the oppo- 
site number of seconds at the side of the page on the left ; and 
each number in the other column is the excess of the opposite and 
adjacent logarithmic tangent, above the logarithm of the opposite 
number of seconds. Thus 4.6855747 is the excess of 7.1626960 
over the logarithm of 300 which is 2.4771213 ; and 4.6855788 
is the excess of 7.7190026 over the logarithm of 1080 which is 
3.0334238. The numbers in the columns under the heading 
5+ n, are such as result from adding to each cotangent and cose- 
cant in the adjacent columns, the logarithm of the opposite num- 
ber of seconds. Thus 15.3144197 is the sum of 12.2140492 and 



TABLE OF LOGARITHMIC SINES,*&C. (37) 

the logarithm of "1260 which is 3.1003705; and 15.3144398 is 
the sum of 11.8460925 and the logarithm of 2940 which is 
3.4683473. 

61. If the sines in the column headed sin. were not given, they 
might be found from the numbers in the next column. For if q 
be put for the sine of any number of minutes less than 120' or 2° 
and n for the logarithm of the corresponding number of seconds, 
the value of q-n will be given by the table ; which value in- 
creased by n will be the value of q the required sine. If for 
example the sine of 1° 23' be required, we shall find by looking 
in the first of the columns headed q-n on page 157, that 
y-n=46855327: therefore y=4.6855327+w; but the loga- 
rithm of 4980 the number of seconds in 1° 23' is 3.6972293 : 
hence 9=8.3827620, the sine required. 

In a corresponding manner may tangents, cotangents and cose- 
cants be found. To find for example the cosecant of 0° 37', 
we obtain from the table the equation 9 +w= 15.3144335, whence 
9=15.3144335— n ; and as the number of seconds in 37' is 2220 
whose logarithm is 3.3463530, 9=11.9680805. 

62. The numbers in the columns headed q-n and 9+n, are 
given only at intervals of 1' or 60" ; but they vary so slowly and 
regularly, that we may by a simple proportion find the correspond- 
ing numbers for intervening points with fecility and accuracy. 

To find for instance in the first of these columns the number 
belonging to QP 40' 37", we observe that its last four figures must 
be less than 5651 but greater than 5646 : the difference of these 
two numbers viz. 5 being a variation for an interval of 1' or 60", 
the part of this variation for 37" may be found by the proportion 
60 : 37 : : 5 : r= Vj* =3 nearly. The last four figures of the re- 
quired number are therefore 5648; and the number itself is 
4.6855648. In like manner may we find the number that be- 
longs, in either of the four columns headed 9 — n and q+n^ to 
any number of degrees, minutes and seconds from 0^ to 2^. 

53. If the numbers thus found by interpolation be increased or 
as may be necessary diminished in each case by the logarithm of 
the corresponding number of seconds, the corresponding sines, tan- 
gents, cotangents and cosecants will be obtained. Let it be required 
for example to find the sine of 1° 3' 41 ".79. By inspecting the 
column headed sin. on page 157, we shall find that the required 
sine is between 8.2630424 and 8.2698810. But to obtain it ac- 

4 



\ 



V 



if 



(38) ^ INTRODUCTION. 

curately by interpolation in this column would be inconvenient, 
as the differences of the numbers there are large and vary rapidly. 

If however, we put q for the required sine and n for the loga- 
rithm of the corresponding number of seconds, we can easily 
obtain the value of y - n from' the proper colunm headed y — n : 
this value is 4.6855500 ; the correction for 41".79 being nearly 
6, which has to be taken from 5506. Now the number of 
seconds opposite 1° 3' in the table is 3780, which increased by 
41.79 becomes 3821.79 whose logarithm we shall find to be 
3.5822669; this is the value of n, and since 9 — n=: 46855500, 
5=8.2678169, which is the sine required. 

Again, to find the cotangent of 0^ 57'34".46. 
}+n=15.3143845 
n== 3.5383802 



.". q =11.7760043, the cotangent sought. 

64. In like manner may these two pages be used, when the 
number of degrees, instead of being 0^ or 1°, is 88^, 89°, 90<^, 
91^^, 178° or 179°. But if the number of degrees be found at 
the bottom of the page, the title of the quantity sought must be 
looked for there also ; and if the number of degrees is on the right 
hand, the number of minutes must be found in the right hand 
column ; and in this case, the opposite number of seconds in the 
left hand colunm diminished by the given number of seconds, is 
that whose logarithm n is intended to represent. 

Let it be required to find. the tangent of 88° 21' 37^5. 

As 88° is at the bottom of the page and on the right hand, we 
are to look for the title tan. at the bottom, and for 21 the number 
of minutes, in the right hand column ; opposite this number in the 
first column on the other side of the page will be found 6940, for 
the number of seconds to be diminished by 37.5 the given number 
of seconds; the logarithm of the remainder 5902.5 is 3.7710360, 
which is the value of n. Opposite 21' and 22', and over the title 
q+ny in the column next to the column of tangents, are to be 
found the numbers 3051 and 3075 ; the proper intermediate num- 
ber for 21' 37^5 is 3066. Therefore 9+71= 15.3143066; and 
hence 9=11.6432706, the tangent sought. 

Again, to find the cosine of 91° 27' 43".7. 
9-n=4.6855277 
log. 6263.7 = n=3.7212911 

.-. q =8.4068188, the required cosine. 



TABLE OF LOGARITHMIC SINES, StC. (39) 

To find the cosecant of 179^ 19' 52'^25. 
9+w=15.3144350 
log. 2407.75 = n= 3.3816114 

.•• q =11.9328236, the cosecant sought. 

65. The columns having the titles sec. cos. at the top, and 
eosec. sin. at the bottom, may be used for finding sines, cosines, 
secants and cosecants, in the ordinary way. 

To obtain for example the cosine of 1° 17' 25''.5. 

In the column headed cos. and opposite the 17' which stands 
under 1°, will be found the number 8911 ; and opposite 18', the 
number 8882 ; the proper intermediate number for 17' 25".5 is 
8899, in which we have the last four figures of the required co- 
sine ; , the preceding figures are 9.999, as found at the top or bot- 
tom of the column concerned. The complete cosine therefore ist 
9.9998899. Thus also the cosecant of 90° 55' A7'\5 may be 
found to be 10.0000572. 

Instead of the columns here referred to however, it is best to 
the corresponding ones, in the twelve subsequent pages. 

56. The 156th and 157th pages are likewise to be used, when 
d with a given sine, tangent, &c. that falls within the limits of 
\ these pages, it is required to determine accurately the number 
of degrees, minutes and seconds to which it belongs. In em- 
ploying them for this purpose, we have first to find the two con- 
secutive sines, tangents, &c. between which the given one falls, 
and the corresponding values of q—n or q+n. We may then 
determine by interpolation the value of^' — n or q+n as the 
case may be, for the given sine, tangent, &c. itself; which last 
quantity is represented by q. If q be diminished by q-n ot 
taken from q+n, the remainder will be n the logarithm of a 
number of seconds, from which the number itself is to be found^ 
and thence the required number of degrees, minutes and seconds. 

Let it be required to find the degrees, minutes and seconds be- 
longing to the tangent 8.2743291. This falls between the tan- 
gents of 1° 4' and 1° 5' opposite which in the preceding column 
under the heading y — n are the numbers 6250 and 6266; the 
intermediate number corresponding to the given tangent, will be 
found by ordinary interpolation to be 6260 ; the complete value 
of 5^— n is accordingly 4.6856260. Taking this from q that is 
8.2743291, we find for the value of n, 3.5887031 which is the 



(40) INTRODUCTION. 

logarithm of the number 3878.851. The nmnber next less than 
this ia the column of seconds is 3840, to which corresponds 
1^ 4^ The required number of degrees, minutes and seconds is 
therefore 1° 4' 38".851. 

Or if we take the number of degrees found on the right hand, 
we must look for the number of minutes in the right hand col- 
umn, opposite the number of seconds next greater than 3878.851, 
viz. 3900, and take the. difference of 3900 and 3878.851 for the 
number of the required seconds. In this way we shall obtain 
178° 55* 21'M49 for the number sought ; which is evidently the 
supplement of the one before obtained. 

If the title of the given quantity be at the bottom of the page, 
the required number of degrees is to be found there also. 

57. To obtain the value of q-not q^n corresponding to the 
given sine, tangent, &c. we may find approximately by the gen- 
eral table the required number of degrees, minutes and seconds, 
and take the value of y— n or j+n as the case may be, corres- 
ponding to the number thus found. 

The required number of degrees, minutes and seconds in the 
preceding example, we shall readily find on page 164 to be 
nearly P 4^ 40^'. Then as the numbers in the proper column 
headed 5^— n on page 157 which correspond to 1° 4' and 1° 5' 
are 6250 and 6266, the intermediate number corresponding to 
10 4' 40^' is easily seen to be 6261 nearly, which differs only a 
unit in the last place of figures from the result before obtained 
viz. 6260. And if we take 4.6856261 for the value of ^r — n, 
the value of n will be 3.5887030; which is the logarithm of 
3878.85. The required number of degrees, minutes and seconds 
thus obtained is 1° if 38^^85, differing only a thousandth of a 
second from the previous result. 

58. If the given quantity belongs to either of the columns 
headed sec. and cos. the required number of degrees, minutes and 
seconds is to be found in the ordinary way. In this case how- 
ever, it is better to make use of one of the iwdve subsequent 
pages. 



tab'Lb of natural sines and cosines. (41) 

Table of Natural Sines and Cosines : pp. 278-^87. 

59. This is a table of natural sines and cosines for every min- 
ute from 0^ to 90^, carried Xj^five places of decimals. The dec- 
imal point, omitted for convenience, is to be prefixed to edch sine 
and cosine as given in the table. 

To find the sine or cosine of a given number of degrees and 
minutes. 

If the given number is less than 45^, look for the degrees at 
the top of the page and for the minutes on the left : then oppo- 
site the minutes and under the degrees in the column headed sin. 
or COS. as the case may be, will be found the required sine or 
cosine. 

If the number of degrees and minutes falls between 45^ and 
90^, the degrees must be looked for at the bottom of the page, 
and the minutes on the right : then opposite the minutes and 
wer the degrees in the column having the proper title at the foot^ 
will be found the required sine or cosine. 

The sine of 7° 33' is .13139, and the cosine of 67^ 31' is 
.38241. 

60. At the top of each page and on the left hand are given the 
differences between consecutive numbers in the columns headed 
sin. These differences are for intervals of 1' or 60" each. In 
columns under them are given the proportional parts for every 
number of seconds less than 60 ] the part belonging to any num- 
ber of seconds, standing opposite this number as found in the 
adjacent column of minutes. 

There are like coliunns of differences and proportional parts 
on the rights over the title Diff. to be used in connexion with the 
columns headed cos. 

To find by aid of these columns the sifie or cosine of a given 
number of degrees^ minutes and seconds. 

Look for the two consecutive sines or cosines between which 
the required one must fall ; find their difference and ^he propor- 
tional part of it belonging to the given number of seconds ; this 
added to the sine of the given number of degrees and fndnutes 
or subtracted from the cosine as the case may be, will give the 
required sine or cosine. 

F 4* 



(42) INTRODUCTION. 

To find the sine of 28^ 43' BV. 

This must fall between the sines of 28° 43' and 28° 44'. 
The sine of 28° 43' as found in the table is 48048, and differs 
25 from that of 28° 44': 25 being a variation for 1' or 60", to 
find the part belonging to 51" look in the column of propor- 
tional parts under 25, and opposite 51 in the adjacent column of 
minutes, where will be found the number 21 ; which added to 
the sine of 28° 43' gives .48069 for the required sine. 

To find the cosine of 67° 21' 37", 

The cosine of 67° 21' is .38510, apd differs 27 from that of 
67° 22': the proportional part of 27 for 37" is 17; which sub- 
tracted from .38510 gives .38493 for the cosine required. 

61. If the number of degrees, minutes and seconds is between 
90° and 180°, take the cosine or sine of its excess above 90°, 
according as the sine or cosine of the given number is required. 
Thus for the sine of 143° 20' 17" take the cosine of 63° 20' 17", 
and for the cosine of 117° 26' 36" take the sine of 27° 26' 35". 

If regard is to be had to positive and negative signs, the cosine 
of more than 90° must be taken negatively. 

62. To find the number ofdegreeSy minutes and seconds anr 
sivering to a given sine or cosine. 

If the given number is the same with one of those in the table, 
the required number will consist of degrees and minutes only. 

Then if the column which contains the given number has the 
name of that number at the top, the required degrees will be 
found there also, and the minutes will be found opposite the 
number, in the column of minutes on the left : but if the name 
, of the given number appears at the foot of the column concerned, 
the degrees will be found there, and the minutes on the right. 

The sine .92870 is that of 68° 14', and the cosine .87321 is 
that of 29° 10'. 

When the given sine or cosine is not to be found in the table, 
look for the two consecutive sines or cosines between which 
it falls ; one of these must answer to the number of degrees 
and minutes required ; find the difference between it and the 
given sine or cosine, also the difference between it and the other 
tabular sine or cosine ,- then under or over the latter difference in 
a column of proportional parts, find the former difference ; oppo- 
site that, in the adjacent column of minutes, will be found the 
required number of seconds. 



TABLE OF LOGARITHMS. (43) 

To find the number of degrees, minutes and seconds answer- 
ing to the cosine .93208. 

This falls between the cosines of 21^ 14/ and 21^ 16' given in 
the table. 2P 14' is therefore the required number of degrees 
and minutes. The cosine of 21° 14' differs 3 from the given 
one, and differs 10 from the cosine of 21° 15'. On page 282 in 
the column of proportional parts over the difference 10, will be 
found the number 3 opposite the numbers from 15 to 20 in the 
adjacent column of minutes: one of these numbers is to be 
taken for the required number of seconds ; let this be 18, as being 
near the middle of them ; then 21° 14' 18" is the number of 
degrees, minutes and seconds required. 

To find the number of degrees, minutes and seconds whose 
sine is .82036. 

This falls between the sines of 55° 7' and 55° 8'. The sine 
of 65° 7' differs 4 from the given one, and differs 16 from that of 
55^ 8'. The number 4 in the column of proportional, parts over 
the difference 16, stands opposite 15 in the adjacent column of 
minutes: this is to be taken for the required number of se- 
conds. 55^ 7' 15" is then the number of degrees, minutes and 
seconds sought. 

> Table of LooARirHMS of Nukbers : pp. 288-293. 

63. This is a table of logarithms of numbers carried to Jive 
places of decimals. The logarithms are given without any char- 
acteristics ; and to be fitted for use, must in each case be prece- 
ded by a decimal point and the proper characteristic as deter- 
mined by the rule in Art. 6. 

To find by this table /Ac logarilhm of a given number. 

64. If the number consist of three significant figures, look for 
them in a column headed N : then in the next column headed 
Log, and opposite those figures will be found the mantissa of 
the logarithm sought. 

The mantissa of the logarithm of 37.9 is .57864, and the whole 
logarithm 1.57864 

If the number has only two significant figures, annex a cipher, 
or if it has only one, annex two ciphers, and then proceed as 
before. 



(44) INTRODUCTION. 

66. If the number consists of more than three significant fig- 
ures, look for the logarithm answering to the first three signifi- 
cant figures, as in the preceding case : and then if these figures 
are found on one of the first three pages of the table, look oppo- 
site them in the column of proportional parts under the fourth 
figure, for a correction which is to be added to the logarithm of 
the first three figures ; and if there is a fifth figure, then in the 
column under this and opposite the first three figures may be 
found a number which divided by 10 will give the proper addi- 
tional correction : the correction due to a sixth figure may be 
found in a similar manner, the divisor 10 being however ex- 
changed for 100. 

To find the logarithm of 30.1745. 

The decimal part of the logarithm of 301 is 47857 ; the cor- 
rection for 7 is 101, for 4, 5.7, for 5, .72 ; the whole correction 
therefore is 107 nearly. Then 47%4 preceded by the decimal 
point and the proper characteristic viz. 1 is the logarithm sought. 

But if the first three figures of the given number with the cor- 
responding logarithm are found in one of the last two pages of 
the table, look on the right, in the nearest column headed D. for 
the difiierence between this and the following logarithm; and 
look for the same difierence on page 293 under the heading 
D, in the table of differences and proportional parts : then opposite 
this difference, and under ihi^ fourth figure of the number will be 
found the correction due to that figure, and under the fifths 10 
times the correction due to that, and under the sixths 100 times 
the correction due to that ; whence may be easily obtained the 
whole correction which added to the logarithm of the first three 
figures of the proposed number will give the. logarithm sought 

To find the logarithm of 7.41809. 

The logarithm of 741 as given in the table is 86982; the 
corresponding difference in the column headed D. is 58 ; opposite 
this difference and under 8, in the table of differences and propor- 
tional parts on page 293, stands the number 46, which is the 
first correction ; and under 9 stands the number 52, one hun- 
dredth of which is the next correction : the whole correction 
therefore is 46.52 or 47 if the nearest integer be taken, and the 
required logarithm is .87029. 

In seeking the number which corresponds to a given loga- 
rithm, the next table should be used. 



^ TABLE OF ANTIL0GABITHM8. (45) 

f v^ Table of Antilogarithms : pp. 294-299. 




This is a table of numbers answering to given Ipgarithms. 

the columns headed L. are the mantissas of logarithms carried 
to three places of decimals. In each column headed Num. are 
the first five figures of the numbers belonging to the mantissas in 
the preceding column. 

To find by this table the number answering to a given logor 
rithm. 

67. If the mantissa of the logarithm consist of onl y three decimal 
figures, look for these figures in the column headed L. then in 
the next column headed Num. and opposite those figures, will 
be found the first five figures of the required number. The 
characteristic of the given logarithm will show where to place 
the decimal point in this number. 

To find the number answering to the logarithm 2.057. 

Opposite the decimal .057 as found in a column headed L. 
stands the number 11402 in the succeeding column headed 
Num. and as the index of the given logarithm is 2, the number 
sought must have three mtegral figures : it is therefore 114.02. 

68. If the mantissa of the given logarithm consists of more 
than t/iree figures, look for the number answering to the first 
three figures, as in the preceding case : and then if these figures 
are found on one of the last four pages of the table, look oppo- 
site them on the right in the adjacent table of proportional parts 
and in the column under the fourth figure, for a correction which 
is to be added to the number answering to the first three figures 
of the given mantissa ; and if there is a fifth figiure in the man- 
tissa, then in the column under this, will be found a number 
which divided by 10 is the proper additional correction : if there 
is also a sixth figure, the correction due to that may be found in 
the same way, except that the divisor 10 must be changed to 100. 

To find the number answering to the logarithm 5.830309. 

Opposite the decimal .830 in the table is the number 67608, and 
under the heading 3 in the table of proportional parts is 47, the 
first correction ; under 9 is 141, one hundredth of which is another 
correction : the sum of the two is 48 nearly, which added to 67608 
gives 67656 ; and as the index of the logarithm is 5, the number 
sought must have six integral figures : it is therefore 676560. 



(46) INTRODUCTION. 

But if the first three figures of the given mantissa with the 
number corresponding, are found on one of the first two pages 
of the table, look on the right in the adjacent column head- 
ed D. where will be found the difference between that and the 
following number, and look for the same difference on pi^e 295 
in the table of differences and proportional parts under the head- 
ing D. then opposite this difference, and under the fourth figure 
of the mantissa, will be found the correction due to that figure, 
imder the fifthy 10 times the correction due to that, and under 
the sixthy 100 times the correction due to that. 

To find the number belonging to the logarithm 2.016439. 

The number answering to the decimal .016 in the table is 10375 ; 
the adjacent number in the column marked D. is 24 ; opposite 
the difference 24 in the table of proportional parts on page 295, 
stand 10 in the column headed 4, 7 in the column headed S, and 
22 in the column headed 9: the correction to be added to 10375 
is therefore 10+.7+.22, or 11 nearly ; and as the index of the 
given logarithm is -2, the number sought must be .010386. 

Table of LooABrrimic Sines, Tangents, &c. pp. 300-322. 

69. This is a table of artificial sines, tangents, &c. to every 
minute from (P to 180^, carried to five places of decimals ; and 
is designed for use in connexion with the two preceding tables. 

To fiiid by this table the siney tangenty Sfc, of a given num- 
ber of degrees and minutes. 

Look for the number of degrees at the top or bottom of 
one of the pages; and according as this number is on the 
right or left, look on the right or left for the number of min- 
utes : then opposite the minutes, will be found the last four or 
five figures of the required sine, tangent, &c. in the column 
having the corresponding title at the head or foot, according as 
the degrees are found at the top or bottom of the page : the 
preceding figures may be found either at the head or at the 
foot of the column in which the others occur. * 

Thus the tangent of 96^ 36^ is found to be 10.93665. In this 
case the title tan, is looked for at the bottom of the page, because 96^ 
the given number of degrees is found there, and the minutes are 
looked for in the left hand column, as 96^ is on the left of the ac« 
companying number 83^. 



TABLE OF LOGARITHMIC SINES, AC. (47) 

When the numbers at the head and foot of a column are not 
the same, they are marked with an asterisk^ and the up^r or the 
lower one is to be prefixed to the numbers in the intervening 
column, according, :as these numbers are above or below that in 
which occurs the character ♦ standing for 0. TMs number itself 
must be preced|h by the lai^er of the two numbers marked with 
the .asterisk. ^ 

The cotangent of 172° 64' is 10.90463, 
« 1720 50^" 10.90058, 

" 172° 33'" 10.8^61. 

To find the sine, tangent, tfc, of cLgiven number of degrees, 
minuies and seconds. 

70. If the number of degrees is 0^, 89<^, 90^ or 179^, it will be 
found at the beginning of the table on page 300 ; and the requi- 
red sine, tangent, &c. is to be found as in the case where page 
156 is employed. The method of using that page is pointed out 
in Arts. 51, 52, &c. One or two examples will be sufficient to 
show how we are to proceed in the case before us. 

To find the tangent of 90O23M7^ 

This must fall between the tangents of 90^ 23' and 90° 24'. 
Opposite these tangents in the adjacent column stands the num- 
ber 42, which is the last part of the quantity denoted by y+n, 
the first part viz. 15.314 being at the top and bottom of the 
columns headed q+n. 15.3 1442 is then the whole value ofq+n. 

The number of seconds in the left hand column opposite 23' 
is 1380 ; this added to 47 gives 1427, the logarithm of which as 
obtained from page 289 is 3.15442: this is the value of n; 
hence q the required tangent is 12.16000. 

To find the cotangent of 89° 31' 26". 

This must fall between the cotangents of 89^ 31' and 89° 32', 
opposite which in the adjacent column headed 9— n are the 
numbers 59 and 58, the former of which preceded by the figures 
4.685 over and under the column headed ?— n, gives 4.68559 for 
the value ofq — n. In the column of seconds is the number 1740 
opposite 31' in the right hand column of minutes ; which column 
is used in this case because 89^ is a right ^apd number of degrees. 
1740 diminished by 26 gives 1714, whose logarithm n is 3.23401. 
The required quantity q is therefore 7.91960. 

In like manner the cosecant of 179^ 46' 18" will be found to 
be 12.39956. 



(48) INTRODUCTION. 

But if for example the sine of 90° 46' 42'' be required, it is 
sufficient to look for it as the sine of 90° 47', which is found at 
once to be 9.99996. 

71. All of the table except the part just noticed, is to be used 
according to the following directions. 

Find the sine, tangent, &rC. of the given degrees and minutes, 
and according as this is less or is greater than the one required, 
correct it for the additional seconds, by adding or by subtracting 
the number in the adjacent column headed d. that stands op-> 
posite the given number of seconds as found in the left hand 
column of minutes. 

If however the sine, tangent, &c. of the given degrees and 
minutes be found on one of the first eight pages of the table, 
conect it by adding or subtracting the product of the given num- 
ber of seconds into the number in the adjacent column headed 
d. 1", that stands between the tabular sine, tangent, &c. next 
greater and that next less than the required one. 

To find the cotangent of 72° 36' 42 '. 

The cotangent of 72° 36' is 9.49607: and in the proper column 
headed d. is the number 31 opposite 42 in the left hand column 
of minutes. 31 subtracted from 9.4%07 leav& 9.49576 for the 
cotangent sought. 

To find the cosine of 99° 27' 44".6. 

The cosine of 99° 27' is 9.21534 ; the product of 44.6 into 
1.27 tho difierence for 1" as found in the table is 57 nearly, 
which added to 9.21534 gives 9.21591 for the cosine required. 

To find the secant of 166° 41' 38". 

This must fall between the secants of 166° 41' and 166° 42' 
which are 10.01184 and 10.01181, their difierence being 3: as 
this is a difierence for an interval of one minute, -^^ or j\ must 
be the difiierence for 1" ; this multiplied by 38 is |§ or 2 nearly, 
which taken from 10.01184, leaves 10.01182 for the secant 
sought. 

This example is designed to show how we are to proceed in 
all cases when the differences for 1" are not to be found in the 
table. 

To find the number of degrees^ minutes and seconds belonging 
to a given sincj tangent, (fc. 

72. Look for the given sine, tangent, &c. in a column having 
the appropriate title at the top or bottom, and if it be found there, 



TABLE OF LOGARITHMIC SINES, &C« (49) 

the required nnmber will consist of degrees and minutes only : 
then look for the degree at the top or bottom of the page, ac- 
cording as the name of the given quantity is at the top or bottom 
of the column in which it is found ; and look for the minutes 
on the right or left, according as the right or left hand number 
of degrees is taken for the required one. 

Thus if the quantity given is the secant 10.50004, we find it 
on page 309, in a column having the title sec, at the bottom. 
The number of degrees found there i^, on the left hand 108®, 
and on the right 71® ; and the number of minutes is 26^ or 34^, 
according as it is found on the left or on the right. The given 
number is therefore the secant of 108® 26' or 71® 34'. 

73. But if the given sine, tangent, &c. is not to be found ex- 
actly in the table, look for the two consecutive ones between 
which it falls, and taking that which is opposite the least num- 
ber of minutes, find the corresponding number of degrees and 
minutes, and for the additional number of seconds due to the 
difference between the given sine, tangent, 6cc. and the tabular 
one just specified, look in the left hand column of minutes oppo« 
site this difference ^ found in the appropriate column headed d. 

Thus if the number of degrees, minutes and seconds whose 
cosine is 9.49741 be sought, we readily find for the required 
mmiber of degrees and minutes 71® 40', whose cosine is 9.49768, 
exceeding the given cosine by 27: then in the left hand colomn 
of minutes, and opposite 27 in the appropriate column headed d. 
we find 43 for the required number of seconds. The number 
sought is therefore 71® 40^ 43''. 

If 108® be taken for the degrees instead of 71®, the nmmtes 
will be ly and the seconds 17" or 18". 

When the required number of degrees and minutes is found 
on one of the fiirst eiglU pages of the table, the additional seconds 
are not to be found in the manner above indicated ; but to obtain 
Ihem, we must divide the difference between the given sine, tan- 
gent, &c. and the sine, tangent, &c. of the required number of 
degrees and minutes, by the difference for V^ as found in the ap« 
propriate column headed d. V'. Thus if the degrees, minutes . 
and seconds coiTeq)onding to the cotangent 10.99208 be soughti 
we find 5® 48' for the required degrees and minutes, the cotanr 
gent of which is 10.99321, exceeding the given cotangent by 

o 6 



(60) INTRODUCTION. 

113 ; this divided by 2.10 the difference for V^ as found in the 
table, gives 54 nearly for the required number of seconds. 

To find the degrees, minutes and seconds whose cosecant is 
10.00626. 

This falls between 10.00628 and 10.00626, the cosecants of 
80° 17^ and 80° 18', the former of which exceeds the latter by 
3 and exceeds the given cosecant by 2 : and as 3 is the differ- 
ence for 1' or 60'', the number of seconds to which the difference 
2 is due, must be | of 60. 

The number required is therefore 80^ 17' 40". 

This example will serve to show how we are to proceed in all 
cases when the differences for 1" are not given in the table. 

74. Lastly, if the required number of degrees is found to be 
either 0°, 89°, 90° or 179'=*, look opposite the sine, tangent, &c. 
nearest the given one, for the corresponding value of y - n or 
q+n in the adjacent column, and subtract the given quantity firom 
q+n or diminish it by^—^n as the case maybe, to obtain n 
the logarithm of a number of seconds. Then having found the 
required number of degrees and minutes, look opposite the min- 
utes and in the column on the left, for a number of seconds : 
the difference between this and the number whose logarithm 
is n, will be the number of seconds required. 

Thus if the degrees, minutes and seconds answering to the 
cotangent 7.96304 be required ; we find the nearest cotangent to 
be 7.%889, and the corresjwnding value of j - n to be 468569 ; 
which taken from the given cotangent leaves 3.27745 for the 
value of n. The number answering to this logarithm is 1894.3, 
as may be readily found from th^ table of antUogarithms. The 
required number of degrees and minutes is 89° 28', and 1920 is 
the number of seconds on the left, opposite 28'. The required 
number of seconds therefore is 25". 7, which is the difference be^ 
tween 1920" and 1894".3. 

If however the given number belong to one of the two columns 
headed sec. and cos, the required number is to be found directly 
by inspection. Thus if the cosecant 10.00004 be the number 
given, we shall find it in the table with 89° 11', 89° 12',— 89° 16', 
for corresponding numbers ; either of which or rather the meaa 
of them viz. 89° 13' 30" may be taken for the number sought. 



TBATEBSE TABLE. (61) 

Tbavebse Table, ob Table of Depabtube and Diffebence 
/2^ o^ Latitude : pp. 323-329. 

75. In this table are given the diflFerences of latitude and the 
departures, to four or five places of decimals, for distances from 1 to 
9 inclusive, and for courses or bearings from 0^ to 90° at intervals 
of 15', as also for each of the 32 quarter foints of the quadrant. 

These distances may be reckoned as tens^ hundreds^ thou- 
sands, &c. or tenths, hundredths, thousandths, dec, if the posi- 
tion of the decimal point in each departurc and difference of lati- 
tude in the table be changed accordingly. 

To find the departure and difference of latitude for a given diS" 
tance and bearing. 

If the given bearing is less than 45°, look for it on the left in 
one of the pages of the table, and look for the distance at the top 
or bottom of the paige : then over or under the distance and oppo- 
site the bearing, will be found the difference of latitude in the 
column headed diff, kit. and the departure in the next column : 
but if the bearing is more than 45°, look for it on the right ; and 
then for the difference of latitude, look in the column over the 
title diff. lat, and look for the departure in the preceding column. 

Thus for the bearing 10° 45' and the distance 7, the difference 
of latitude and the departure will be found to be 6.8772 and 
1.3057, respectively. 

And for the bearing 63° 30' with the distance 30=3 tens, the 
difference of latitude and the departure are 13.3859 and 26.8480. 

When the given distance has more than one significant figure, 
find the departure and difference of latitude for each numeral 
figure of the distance, having regard to its local value, and take 
the sum of the several differences of latitude thus found, for the 
whole difference of latitude, and the sum of the several depart- 
ures for the whole departure. 

Thus, if with the bearing 64° 15' there be given the distance 
63.049, we shall find the differences of latitude for the parts 
of the distance represented by the several figures 6, 3, 4, 9 to be 
35.055, 1.75275, .02337, .0052582: then, neglecting a few of 
the last decimal figures, we may take the sum of 35.055, 1.7527, 
.0234 and .0053, (which is 36.8364,) for the required difference 
of latitude. The departure found in like manner is 51.1685. 



(02) IFTRODUCTION. 

If the given bearing falls between two coniecutive bearings in 
the table, the departure and difference of latitude may be found 
by interpolation in the usual way. 

Thus if the distance be 4 and the bearing be 6^ 20', we shall 
find the difference of latitude to be 3.97558 and the departure 
0.44126. 

76. The traverse table will serve to show the comparative 
values of the parts of any right angled triangle : for if the hypot* 
enuse be regarded as a distance, and one of the acute angles as a 
bearing, the opposite side will be the corresponding departure, and 
the remaining side the difference of latitude. 

Of the four quantities, distance, bearing, departure, and differ- 
ence of latitude, if any two be given, the others corresponding to 
these may be readily obtained. They are to be looked for at the 
place in the table where the two given ones shall be found to 
correspond. 

Thus if there be given the departure 3.90518 and the differ- 
ence of latitude 0.8G576, 4 will be found for the corresponding 
distance, and 77^ 30' for the bearing. 

If the two given quantities cannot be found corresponding 
exactly in the table,' the required quantities must be obtained^ by 
interpolation. 

Table of Meridional Parts : pp. 330-337. 

77. This is a table giving, to every minute of latitude, the 
length of Mercator's meridian expressed in geographical miles or 
minutes of an arc at the equator. The miles in the length of this 
meridian for any latitude, are called the meridional parts for that 
latitude. These parts carried to tenths^ are placed in the table 
under the degrees and opposite the minutes of the corresponding 
latitudes. Thus the meridional parts for the latitude 3^ 40^ are 
220.2, and for 30° 27' they are 1919.6. 

Workman's Table for correcting Middle Latitude : p. 338. 

78. If the departure made by a ship in sailing on a single course 
from one parallel of latitude to another, be reckoned in degrees, 
minutes and seconds upon a parallel whose latitude is a mean 
between the latitude left and the one arrived at, it will correspond 



workman's table. (53) 

nearly with the difference of longitude made by the ship. But 
that the correspondence may be exact, the departure must be 
reckoned upon a parallel whose latitude is somewhat greater than 
the middle latiivde just mentioned. The table in question is de- 
signed to furnish for the most important cases, the correction that 
must be added to the middle latitude to give this greater latitude. 

The correction may be found in mintUeSj by looking under 
the difference of the two given latitudes and opposite the middle 
latitude. 

Thus if the two latitudes concerned are 37^ and 63^, the 
middle latitude is 45^, the difference of latitude 16^, and the re- 
quired correction 35^ ; which added to the middle latitude gives 
45^ 35' for the middle latitude corrected. 

Tables : pp. 339, 340. 

79. The use of the Table for computing Compound Interest 
IS too obvious to require any illustration. 

80- The use of the Tables for interchanging Common and 
Hyperbolic Logarithms may be learned from the three follow- 
ing examples. 

(1.) The common logarithm of a number being 2.840651, to 
find the hyperbolic logarithm of the same number, with nine or 
ten decimal figures. 

2 46051701860 

.8 . . • . . 1.8420680744 

.04 . ^. . • . , 0.0921034037 

.0006 . ' . . . . 0.0013815511 

.00005 0.0001151293 

.000001 .... 0.0000023026 

2.840651 6.5408406471 

If the given logarithm has a negative characteristiC| we may 
proceed as in the following case. 

5* 



(64) IRTRODCCTION. 

(2.) To convert the cotimum logarithm 6.89042 into a hyper- 
boUc logarithm carried to the tenth decimal place. 

6.89042= -6.10968 

6 11.6129264650 

.1 0.2302685093 

.009 0.0207232658 

.0006 .... 0.0011612926 

.00008 . ... 0.0001842068 

-6.10958 .... -11.7652427394 

= 12.2347572606 

(3.) The hyperbolic logarithm of a niimber being 3.0290119, 
to find the corresponding common logarithm with ten decimal 
figures. 

3 1.3028834457 

.02 0.00868588% 

.009 0.0039086503 

.00001 .... 0.0000043429 

.000001 0.0000004343 

.0000009 .... 0.0000003909 

3.0290119 1.3164831537 

81. To show the use of the Table for finding the lengths of 
Circular Arcs the following example will be sufficient. 

To find the length of an arc of 207° 41' 38".09, with twelve 
decimal figures. 

200° 3.490668503989 

7° 0.122173047640 

40' 0.011635528347 

1' 0.000290888209 

30" 0.000145444104 

8" 0.000038785094 

0".09 0.000000436332 

207° 41' 38".09 . . . 3.624942633716 

82. With regard to the two tables on pa^e 340, no explana- 
tion is necessary. 












i 




iaU A^. 



a/. 



cri.t^ 





ijj/i 









Sa^^^ 







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( 



LOGAEITEMSOPNUMBEBS. ij 


X« IiOf. N. Jjog* BT. Log. IT, Loff. 


Bf. Lo3f. I 


6 

J 
u 

t3 

i4 
i5 

16 

17 
r8 

!^ 

31 
Jl 

i3 
34 

35 

a? 
7B 
J9 
3i 
3a 
33 

34 
35 
36 

3^ 
38 

39. 
4i 
42 
43 

44 
45 

4l 
48 
49 
57 
5a 
53 

54 
55 
56 

§ 

61 

63 

64 
65 
66 


OOOOOQO , 

3oi o3do I 

4771^13 
6030600 

G98 97i>ci 
778 i5i3 
84509B0 
9o3 ootx) 
9543435 

o4i 39^7 

Ii59.i34 
i46 [aSo 
17609J3 

Jo4 1300 


67 
68 
69 

71 
73 

73 
74 

75 

76 

77 
78 
79 
81 
8a 
83 

84 
85 

m 

89 

9' 

95 

99 

lOI 
103 

io3 


836 0748 
833 5089 
838 8491 


1 34 
i35 
t36 


127 io48 
136 3338 
133 5389 


301 

ao3 

303 

204 

205 

306 

207 
208 
209 

2tl 

313 
3l3 

214 
2l5 

2j6 
3r7 

318 

2J9 

321 
333 
333 

334 
325 
376 

337 
338 
239 
23l 
333 
333 

334 

335 
336 

337 

238 

339 

341 
342 
343 

344 
345 

346 

347 
348 
349 

35l 
352 

253 

354 
255 
356 

358 
359 

361 
363 
363 

a64 
365 
266 


3o3 1961 
3o5 35i4 
3o7 4^ki 

3oo 63o3 
3r 17539 
3r3R672 


267 
368 
ar>9 

271 
272 
273 

5*74 

375 
376 

377 

378* 

379 

381 

383 

383 

384 
385 
266 

387 
388 
289 

*9^ ' 
292' 
293 

394 
295 
2^ 

397 
39H 

; ^99 

3oi 

302 

3o3 

3c>4 
3d5 

307 

3oe 
309 

3ii 

3l3 

3i3 

3U 
3i5 
3i6 

3^7 
3iS 
3i9 

33J 
322 

333 

3a4 
335 
336 

337 
3^8 
339 

33i 
332 
333 


4a6 5M3 
4a8i34H , 
4397533 

433 9693 

434 '689 
436 1636 

43775.^ 

439 3337 

440 98191 

44a 479S 
4440448 
445 6o4a 

448 7063 

450 2491 

451 7864 
453 3i83 

4548449 

456 3660 

457 88 19 
4593935 
460 8978 

463 8930 

465 3&29 

466 8676 

468 3473 

469 8330 
471 3917 
47a 7564 
474=163 
4756712 

478 5665 
4Bii cn>69 
481 4426 
4828736 

484 3998 

485 73 [4 

487 1384 

488 55o7 
4899585 

493 76f^ 

494 i546 
4955443 

g!i^ 
499^^871 
5oi 0593 
5o3 427( 

5o3 7907 

5f>6 5<oij 
5078559 
5092035 
5 10 5450 
5uB834 
5i3 3T76 

5145478 
5J5 8738 
5i7i9"'9 
5198380 
^^21 ]38i 
532 4443 


85 1 3583 
857 3335 
863 3339 
8693317 
875o6i3 
88o8i36 

a86 49tr7 
695 f»946 
897 6371 

9o8 485o 
9i3 8r39 
9190781 

934 3793 
9394189 
9344985 
9395^93 
9444837 
94939110 


r37 
1 38 
t39 

r4i 

U2 

r43 

Ud 
J 45 
[46 

U7 
(48 
149 
t5i 

l53 

i53 

i54 
i55 
i56 

1 58 
159 

]6[ 
j63 
i63 

164 
i65 
t66 

167 
168 
t69 
17 1 

'^l 
173 

J 74 
175 
176 

177 
178 
'79 
181 
183 

184 
J 85 
186 

189 

I9( 
191 
193 

T94 

'?! 
196 

198 
199 


13G7306 

1492191 

153 2883 
i55 336o 

1 58 36; 5 
161 36Ho 
(64 35^9 
1673173 
1702617 
173 1863 

1789769 
iSt U43(> 
1846914 


3i 59703 
3iBq633 
320 i463 

324 3835 
336 3359 
338 3796 
33o4r38 
332 4385 
3344538 


aJo 4489 
355 3735 
378 7536 
333 3193 
3434337 
36 1 7378 


33645^ 
338 4565 
340 444T 

344 3oa3 
346 3^30 
348 3o49 
3503480 

353 1835 

354 Jo84 
3560359 
3579348 
3598355 

363 6! 30 
36548811 
3673559 
3692159 
371 0679 
3729130 


187 531 >7 
19(j33i7 
193 1346 
i95"8^ 
1986571 
301 397 J 

2068359 
309 5 r 5o 
312 (876 


38o3ua 
3979400 
4M9733 


9590414 
9637878 
96848^9 


43 1 3638 
447 r58o 
46s 39S0 


9731379 
9777336 
98a 3712 

9867717 
99! 3361 
995635a 


49*3617 
5o5i5oo 
5i8 5?39 


3J4 8438 
2174839 
220 io8j 

232 7165 
325 3093 

3378867 


53i 4789 
5440680 
556 3035 


oo4 33j4 
oo8 6fJ03 
0138373 

o( 70333 
oai 1893 
0353059 

0393838 
033 4338 
o37 4^65 

045 333o 
0492180 
o53 0784 

0569049 
0606978 
0644580 

0681859 
071 8830 
075 5470 
08a 7^54 
0863598 
0899051 


568aoi7 
579 7836 
5910646 


jo4 
io5 
to6 

io8^ 
109 

1 [1 
112 
ii3 

n4 
ii5 
116 

M7 

118 
IJ9 
lai 

133 
133 

134 

ia5' 

i36 

137 
ia8 

139 

j3i 
1 3a 
f33 


3329961 

335 5384 
238 n46j 

340 5492 
a43o.38o 
245 5137 


374 7483 
376 5770 
378 3979 
383 0170 
383 8 f 54 
385fir*63 

387 3898 
3891661 
3909351 

394 4?n 
396 1993 

3996737 
4oi 4oo5 
4o3 [ 3o5 

4£^ 8337 
406 54o3 
4082400 
4^>9933i 
4\\ 6197 
4132998^ 

4r6 64o5 
4i83oi3 
4199557 
4a 16039 
4*3 3459 
424 88 [6 


6127839 
623 3493 
633 4685 


643 4537 

653 1135 

, 662 7578 


247 9733 

25o 42DO 

252 8530 


672 0979 
681 a4ia 
690 1961 


257 6786 
360 07 14 
262 45n 


7075703 
7160033 
724 ^7^9 
732 3938 
74o 3627 
748 1880 


2648178 
267 I7i7 
3695129 

271 B4i6 
2741578 
2764618 


755 8749 
763 4280 
770 85 3 


09343(7 
0969100 
1003705 
!o3 8o37 
1072100 
no 5897 
1172713 
lag 5739 
I3l85i6 


381 0334 
2S3 3or-a 
285 5573 

2878017 
2900346 
39a 256r 

394 4663 
3966653 
39SS531 


785 3398 

.792 3917 

799 34o5 


8061800 
8129134 
8(195439 


N* Li>f* N> lifisr* Nil Ln«. If« Imh, N* IjOT. f 



2 LOGARITHMS OF H U M B E H S . 1 


N. Log. N. Los* H. JjO%. N. Ia^. N. Lof^* 1 


134 
335 

336 

337 
338 
339 
341 
34^ 
343 

344 
345 
346 

347 
348 
349 
35i 
353 
353 

354 
355 
356 

357 
358 
359 

36i 
36a 
363 

361 
365 
366 

369 

37a 

373 

374 
375 
376 

377 
378 
379 
3fti 
38a 
383 

384 
385 
386 

387 
388 
389 

391 
3oa 
393 

395 
396 

In 
98 

399 


5a3 7465 
5^5 0448 
5a63393 


40 1 
40 a 
4<j3 

4o4 
4^>5 
4.>6 

407 
408 
409 

4u 
4ia 
4i3 

4U 
4i5 
4]A 

417 
418 
419 
4a 1 
4aa 
433 

434 
4a5 
4a6 

4a7 
4a8 

4*9 
43r 
433 
433 
434 
435 
436 

437 
438 
439 

441 
44a 
443 

444 
445 
4^f6 

447 
448 
449 
45r 
453 
451 

454 
455 
456 

457 
458 
459 
461 
46a 
463 

464 
465 
466 


603 1444 

604 aa6i 

605 3o5o 

606 38r4 
6074550 
6085360 


467 
468 
469 

471 

473 
473 

474 
475 
476 

477 
47fi 
479 
48 1 

483 

483 

484 
485 
466 

487 
488 

491 
49a 
493 
494 
495 
496 

497 

' 49a 

499 

5oi 

503 

5o3 

5o4 
5ci5 
5ti6 

5o7 
5o8 
509 

5n 
5ia 
5j3 

5.4 
5i5 
5i6 

517 
5i8 

Sai 

533 

5a3 

5i4 
535 
536 

537 
5a8 
539 


6693169 
670 a45o 
&jt 1738 


534 
535 
536 

W 
538 
539 

54. 
54a 
543 

544 
545 
546 

"547 
548 
549 
55 1 
55a 
551 
554" 
555 
556 

557 
558 
559 
56i 
56a 
563 

%4 
565 
56fi 

567 
568 
569 

571 
57a 
573 

574 
575 
576 

577 
578 
579 
58 1 
58a 
581 

584 
585 
586 

588 
5^ 
59T 
593 
593 

594 
595 
5^> 

"^^ 
598 
599 


7375413 
7a8 3538 
7a9i64S 


601 
603 
5o3 

&>4 

6o5 
606 

607 
608 
609 

61 1 
61a 
61 3 
6i4 
61 5 
616 

617 
618 
6,9 

6a 1 
633 
6a3 

634 
6'i5 
6a6 

6a7 
6a8 
639 

631*^ 

633 

633 

634 
635 
636 

637 
638 
639 

641 
64a 
643 

644 
645 
646 
647 

a^8 

649 
65 1 
65a 
653 

654 
655 
656 

657 
658 
659 

661 
66a 
663 

664 
665 
6W 


778 B745 
779596S 
78031-.3 

781 o3r39 
781 7554 
78a 4736 

783 1 887 
783 9036 
7^46173 
786041 a 
7867514 
7874605 

7881 684" 
71*^8751 

789 58*17 

790 3fc5a 
7909^^85 
79>^^ 
7930916 

795 1846 

795S8UO 

7965743 

797 3675' 

7979^96 

7986506 

6000394 

8007171 

81 J 1 4<j37 

Boa'niiol" 

Soa 773? 

803 457( 

804 "1394" 

804 8ao7 
So5 5f^ 

806 35So 

807 535o 

808 a 110 

805 8659 , 
8^95597 
8ioa3a5 

Bio 9043 
81 1 5750 
Sra j447 
Si3 58io 
8143476 
814 91 3a 

8155777 
8i6a4i3 
8169038 

817 5654 
8i8aa59 
8t8 8854 

83O30l5 

8ao858o 
8ai5i35 
8aa 1681 
8338316 
833 4743 


537 6a99 
5389167 
531J1997 


673 oao9 
6739430 

674 86ri 

6757783 
6766936 
677 6o7» 

6785184 
679 4? TO 


7399743- 
73o78a3 
73] 5888 

733 1973 

7339993 

7347998 
7355989 

736 39fj5 

737 1956 

737 9«73' 

7387806 

7395733 

74i i5i6 
7419391 
74a 735i 
7435098 

744 3930 
745CJ748 

745 B553' 
7466343 
7474118^ 

748 /i39 

749 73r>3 

750 5oS4 
75i 3791 
75a um 
7538164 
75 i Shir 

754 3483 

755 1133 

756 636» 

757 3o6o 

758 1*46 


53i 7544 
5340261 
5353941 


& -g ^44 

6io66ia 
61 1 7=33 
6!384i8 
614807a 
6159501 

6i7tKXj3 
6i8ii48r 
6190933 
6aoi3tJi 
6a T 1763 
6aa aj4o 

630877 

635 313 5 

636 34t>4 


536 5584 

537 819 1 
5390761 

540 3395 

541 579a 
54a 8354 
5453071 

546 5437 

547 7747 


68a r45i 
683^470 
6839471 
684 8454 
6857417 
686 6363 

mj 5390 
6864198 
6893089 


5490033 

550 3384 

55 1 45oo 

553 6681 
553&830 
5550944 
557 507a 
5587086 
5597)66 


637 3659 

638 3889 

639 4^*96 

630 4 3 ■'9 

63 1 4438 
63a 4573 

634 477^ 

635 4837 
6364879 


69io8r5 
691 9651 
69^6469 

69^ ?'^>9 
6946053 
69548(7 

696 35(^4" 

697 3393 
69810^15 


56 1 ior4 
56a 2939 
563 4811 


564 666T 

565 8474* 
5670364 


637 4897 

638 4893 
63948fi5 

64o48i4 
64i 4741 
643 4645 


6998377 
7007037 
701 568o 


5693739 
570 54^9 
57i7o3S 


703 43o5 
703^914 

704 1 >i5 


57a 8716 
574o3i3 
575 [678 


644 4386 
6454333 
646 4o37 


70 5 0080 
7o586l7 
7067178 


7589119 
7596676 
76o4aa5 


5763414 

577 4?'8 

578 639a 

58o93 5f> 
58a o634 

583 1988 

584 33ra 

585 4607 

586 5873 


6|7 383o 
648 36r» 
6493349 


7084309 
7093700 
710 1174 


761 1758 
761 9378 
76a 6786 

7641761 
764933f= 
7656686 
7664138 
7*i7t55Q 
7678976 

768 6381 
76937T3 
7?o 1(53 

77J 5875 
77a 3a 17 
773o547 
7737864 

774 5 170 

775 a463 

7759743 
7767013 
777 4a6S 


65o3o75 
65 [ 3760 
65a 3463 


710 0631 

71 1 807a 
7126497 
7T3 4905 
7143398 
7151674 


a54i7*'>5 
655 1 384 
656098a 

657 0559 
658oii4 

658 9^548 


587711U 
588 8317 
5899496 


7 = 68377 
7 n 6705 
718 5ni7 

77^33.3 
770 1 593 
7^09857 
731 8r«6 
7535119 
7a3 4557 
735 09.^5 
7559116 
7367373 


59a 1768 
593 356t 
59^3916 


6S9916J 
6608(155 
6618137 

663 7<w^ 
66464ao 
665 58IO 


59^ 496a 
59^15971 
597 695 a 


59H 79C6 
5998831 
6009739 


666 5i8o 
6674530 
6 8 3859 


53 1 
53a 
533 


Pf. Ijo?- K. Low, N* lAt^, N, T,fi«, N, Loc. | 



LOGARITHMS OP NUMBBRS. dl 


N. IjO?« N. Los* N« Lo?« 


If. 


Log. N. 


Lof. 


667 
668 
669 

671 
672 
673- 

674 
675 
676 

'^ 
678 
679 
681 
682 
683 

684 
685 
686 

687 
688 
689 

691 
692 
693 

694 
695 
696 

697 
698 

699 
7UI 
702 
7o3 

704 
705 
706 

■^ 
708 

709 

711 
712 
7»3 

714 
7i5 
716 

7i7 
718 

7»9 
721 

722 
723 

724 

726 

727 
728 

729 
731 
732 
733 


8241258 
8247765 
8254261 

826 7225 
8273693 
8280151 


734 
735 
736 

737 
738 

739 
741 
742 
743 

744 
745 
746 

747 
748 
749 

75i 
752 
753 

754 
755 
756 

757 
758 

759 

Z^' 
762 

763 

764 
765 

766 

767 
768 
769 
771 
772 
773 

775 
776 

777 
778 
779 
781 
782 
783 

784 
785 
786 

787 
788 

789 

791 
792 
793 

794 
795 
796 

798 

799 


8656961 
8662873 
8668778 


801 
802 
8o3 

804 
8o5 
806 

807 
808 
809 
8i[ 
812 
8i3 

8i4 
8i5 
816 

817 
818 
819 

822 
823 

824 
825 
826 

827 
828 
829 

83 1 
832 
833 

834 
835 
836 

837 
838 
839 

84 1 
842 
843 

844 
845 
846 

847 
848 

849 
85i 
852 
853 

854 
855 
856 

857 
858 
859 

861 
862 
863 

864 
865 
866 


9o3 63a5 
9041744 
9047155 


867 
868 
869 

871 
872 
873 

874 
875 
876 

878 
879 
881 
882 
883 

884 
885 
886 

887 
888 
889 

891 
892 
8^3 

894 
895 
896 

897 
898 

899 
901 
902 
903 

904 
905 
906 

9°Z 
908 

909 

911 
912 
913 

914 
916 

97 
918 

919 
921 

922 

1,23 


9380191 
9385197 
9390198 

9400182 
94o5i65 
941 0142 


934 
935 

$36 

937 
938 
939 

.941 
ail 
943 

944 
945 
946 

947 
948 
949 
95. 
95a 
953 

954 
955 
956 

957 
958 
959 

96a 
963 

964 

969 

97i 
972 

973 
974 

978 
979 

98a 

983 

984 
985 
986 

987 
988 
989 

99' 
99a 
993 

994 
999 


9703460 

970 81 10 

971 2758 
9717396 

972 2028 
972 6656 
9735896 
974o5o9 
9745117 

9749720 
9754318 
975 891 1 

9763500 
9768083 

977 2662 

978 i8o5 
9786369 
9790929 

979 5484 
9800034 
9804579 

9818186 

982 7234 
983 1751 

983 6263 
9840770 • 

984 5273 
9849771 

985 426.5 

985 8754 

986 3238 
9872192 
9876663 
9881128 

9885590 
9890046 
9894498 

9907827 
9916690 
9921115 
992 5535 

9938769 
9943172 


8674675 
868o564 
868 6444 


9o5 256o 


8286599 
8293038 
8299467 


8698182 
870 4039 
8709888 


9068735 
9074114 
9079485 


941 5ii4 
0420081 
|42 5o4i 


83o5887 
83 1 2297 
8318698 


871 5720 

872 1563 
872 7388 


9090209 

9095560 
9100905 


9429996 
943 4045 
943 9889 

9449759 
945 4686 
9459607 


833 i47» 

833 7844 

834 4207 


873 3206 
8739016 
8744818 


9106244 
911 1576 
911 6902 


835o56i 
8356906 
836 3241 


8756390 
8762178 
8767950 


912 2221 
9127533 
9132839 


946 4523 
9469433 
9474337 


8369567 
837 5884 
8382192 


8773713 
877 9470 
8785218 


914 3432 
914871b 
9153998 

9159272 
9164539 
9169800 


9479236 
948 4i3o 
9489018 

9498777" 
950 3640 
95o85i5 


8394780 
8401061 
8407332 


8790059 
8796692 
8802418 


84i 3595 
84i g848 
8420092 


881 3847 
8819550 

882 5245 


917 5o55 
9i8o3o3 

918 5545 


951 3375 
951 823o 
9523080 


843 2328 
843 8554 
8444772 


8830934 

883 6614 

884 2288 


9196010 
9201233 
920 645o 


952 7924 

953 2763 
9537597 


8457180 
8463371 
8469553 


8847954 
885 3612 
885 9263 


921 1661 
9216865 

922 2d63 

922 7255 

923 2440 
923 7620 


954 7248 

955 2o65 
9556878 


8475727 
848 1891 
848 8047 

8494194 
85oo333 
85o6462 


8870544 
8876173 
8881795 


9561684 
9566486 
957 1282 


8887410 
8893017 
8898617 


9247960 
9253121 
925 8276 


9576073 
958 0858 
958 5639 


8518696 

852 4800 

853 0895 


8904210 
8909796 
891 5375 


926 3424 
9268567 

927 3704 


959 5i84 
9599948 
9604708 


8536982 
854 3o6o 
854 9i3o 


8926510 
8932068 
8937618 


927 8834 
9283959 

928 9077 


9609462 

961 4211 
9618955 
9623693 

962 8427 

963 3i55 


8555192 
856 1244 
856 7289 


8943161 
8948697 
8954225 


9304396 
9309490 


8579353 

858 5372 

859 1 383 

8597386 
86o338o 
8609366 


8i^- ^i--o 

899 T-l2 

89V IJ Jo5~ 

9003671 
9009131 


931 4579 

931 9661 

932 4738 


9642596 
9647309 
9652017 


9329808 
9334873 
9339932 


924 
925 
926 

927 
928 
929 

93' 
932 

933 


9656720 

9661417 
9666110 


9960737 
9965117 
9969492 

997 3864 
9978231 
9982593 
9986052 
999i3o5 
999 5655 


8615344 
862 i3i4 

862 7275 


935 oo32 

935 5073 

9360108 


9670797 
9675480 
9680157 


8639174 
8645III 
865io4o 


901 4583 
9020029 
9025468 


936 5i37 
9370161 

937 5179 


9698816 


""If, 


Lo^. N. Log. N. Lo^. N. Log. If. Loir* 1 



LOOABITHMS OF NDMBEllS. 



Nuin. 

1000 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 

<^ 
10 10 
II 
12 
i3 
14 

i5 
16 

17 
18 

»9 

10 QO 
21 
22 
23 

25 
26 
27 
28 
29 

10 So 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

10 4o 
41 
42 
43 
44 

45 
46 
47 
48 
49 
10 5o 
5i 

52 

53 

54 

55 
56 

57 

58 
59 

Nora. 



12 3 4 



6 7 8 9 



000 000010434 

43414775 

• 8677 

001 3009 

• 7337 



3^ 
5642 

4^^ 
8635 

2957 

7275 
1 588 
5896 
♦2o3 

45o4 
8800 
3092 
738o 
i664 



^^ 

6943 
1277 
5607 
9932 

4253 

85699001 

28823313 



3o39 

7377 



♦364 



Diir. k. Muh. 



QUI 
3442 

7770 



002 1661 



598064; 



oo3 0295 0726 
46o5- "' 
• 8912 



0043214 

• 75i2 
oo5 i8o5 

6094 
oo6o3bo 

4660 

• 8937 
0073210 

• 7478 
008 1742 

6002 
00*90257 



9342 

3644 
7941 

3234 

6523 
0808 

5o88 
9365 
3637 
7904 
2168 

6427 
o683 



45o^ 4934 



* 8756 
oio3ooo 



9181 
3424 



39 766 



• 72 . 
on 1474 

5704 

• 9931 

012 41544576 



(2 
1897 
6127 
354 



8794 

3oo8 
7218 
1424 
5625 

9823 
4017 
8206 
2393 
6573 

075 
4924 



9094 051! 
32593676 



• 8372 
oi3 2587 

• 6797 
oi4 ioo3 

6205 

• 94o3 
01 53598 

• 7788 
016 1974 

61 55 

0170333 
4507 

• 86-7 

018 j843 

• 7005 

019 1 163 
53i7 

• 9467 

020 36 1 3 

• 7755 

021 1893 
6027 

0220157 
4284 

• 84o6 

023 2525 

• 66397650 

024 0750 
4857 



2093 



5o36 5467 



2: 
7421 

1578 
5733 
9882 
4027 
8169 

23o7 
644o 
0670 
4696 
8818 

2936 



1161 
5267 



• 8960 9370 978G 



52< 

9544 
3875 

8202 

2525 

6843 
i57 



9772 

4074 
8371 
2663 
6952 
1236 

55i6 

4o64 
833i 
2594 

6853 
1108 
5359 
9605 
3848 

8086 

2320 



4490 
8757 
3020 

7270 

1 533 
5784 



4272 

85io 
2743 



65506973 



1844 



♦243 



8625 
2810 
6991 

1 168 
5342 

61 ! 



7837 

1994 
6147 
♦296 
4442 

8583 

2720 
6854 
0983 
5109 



3348 
7462 
1572 
5678 



1737 
6076 
♦4ii 
4741 
9067 

338o 
7706 
2019 
6328 
o633 

4933 
^229 

1521 



7809 

2092 

59446372 

♦2190647 



4917 
9184 

3446 
7704 
'6^ 



♦o3o 0454 



0776 
4998 

02l5 

5429 
7639 8059 



II98 
5420 

637 
85o 



2264 



6045 6465 



0662 



44364855 



1 586 



3i34 
7267 
1396 
5521 
9236 9642 



4696 

8933 
3i66 
7396 
1621 
5842 

♦059 
4271 
8480 
2685 
6885 

082 
5274 
9462 

3647 



9044 
3229 
7409 7827 



2003 



57596176 
9927 ^344 
4092 45o8 
8253 H669 

2410 
6562 
0711 
4856 



2825 
6977 
1 126 
5270 
8997 9411 



3547 
7680 
1808 
5933 
♦o54 

4171 
8284 
2393 
6498 



375o 
7873 
1982 
6088 
♦ 1900600 



2171 
65 10 
0844 
5i74 
9499 
3821 
8i38 
245i 
6750 
io63 



7190 
1493 



5363 

sg5o 
8238 
a52i 



5703 
♦088 
4379- 
8666< 
2949 

67997227 



1074 
5344 
9610 
3872 
8i3o 
2384 
6633 
0878 

5l20 

9357 
3590 
7818 
2043 
6264 

0480 
4692 
8901 
3io5 
73o5 

i5oi 
5693 
9881 
4o65 
8245 

2421 
65o3 
0701 
4925 



3240 
7392 
1 540 
5684 
9824 

3961 
8093 
2221 
6345 
o466 

4582 
8695 
2804 



3473t 

7810 

17102143 

60396472 

0796 

5ii6 
9432 
3744 
8o5i 
2354 



7620 
1924 

6223 
o5i7 
4808 



9094952: 
3377 feol 



i5oi 
5771 
♦037 
4298 

8556 
2809 
7o58 
i3o3 
5544 

9780 
4oi3 
8241 
2465 
6685 

0901 
5ii3 

?321 
525 

7725 

1920 
6112 
3oo 
4483 
8663 

2838 
7010 
1 177 
5341 



\3t7 

7655 
1928 
6198 
0463 
4724 
I 

3234 
7483 
1727 



90849500 



3656 
7807 
1955 

^ 

4374 
85o6 
2634 
6758 
0878 

4994 
9106 
32i4 



69097319 
1419 



6652 
0947 
5237 
623 

8082 
2355 
6624 
0889 
5i5o 

9407 



59676391 



♦204 



4436 485( 



8664 
2887 
7107 

i323 
5534 
9742 
3945 
8144 

2340 
653 1 
0718 
4901 
9080 

3256 

7427 

5o4 

5757 

9916 

4071 
8222 

23^ 

65i3 
o652 

4787 
3o4? 



7.1. 
1289 

54o5 



7729 
1829 



3907 
8244 
2576 
6905 
1228 

5548 
9863 
4174 
8481 
2784 

7082 
1376 
5666 
9951 
4233 

85io 
2782 
705 1 
i3i6 
5576 

9832 



3659 4o84 
6332 
2575 
68i5 



79<^ 

2l5l 



0627 



9o8( 



1744 
5955 
♦162 
4365 



►332 



8637 
2784 
6927 
1066 

5201 
9332 
3459 

1 701 
58i7 

99?8 
4o36 



70758: 



io5o 
5282 
509 



33 10 0732 
75297951 



2i65 
6376 
o583 
4785 



85648984 

27593178 
6950 
ii37 
53io 

9498 
3673 
7844 
2010 



7^ ^ 
1 555 
5737 
9916 

4090 
8260 
2427 



61736589 



0747 



44864902 



9652 
3198 
7341 
1479 

56i4 
9745 
3871 
7994 

2Il3 

6228 
♦339 
4446 



81398549 
2239*2649 



43o 
860 
1290 
1720 
2i5o 
258o 
3oio 
3440 
3870 

426 

852 

1278 

1704 

2i3o 

2556 

2982 

3408 

3834 

423 

846 

1269 

1692 

2Il5 

2538 
2961 
3384 
38o7 
420 
84o 
1260 
1680 
2100 

2520 
2940 

336o 



4321 434 

864 868 

1296 l302 

1728,1736 
21602170 
2592 26r>4 
3o24 3o38. 
3456 3472 
38883906 

427 428 



854 
1 381 
1708 
2i35 
2562 

341 
3843 

424 

848 

1272 

1696 

2120 

2544 

2968 

3^92 

38i6 

421 

842 

1263 

1684 

2io5 

2526 

1941 



37803789 



4«7 

834 

125 1 

1668 
2o85 

25o2 

333? 
3753 



4id 
836 
1254 
1672 
2090 
25o8 
2926 
3344 
3762 



856 
1284 
1712 
2i4o 
2568 
2996 
3424 
3852 

425 
85o 
1275 
1700 

2125 

255o 

2975 
3400 
3825 
422 
844 
1266 
1688 
2110 

2532 

2o5.< 

337ft 

3798 

419 
838 
1257 
1676 
2095 
25i4 
2933 
3352 
3771 



4i4 
828 
1242 
i656 
2070 
2484 
2898 
33i2 
3726 

822 

1233 
1644 
2o55 
2466 

2877 
3288 



4i5 
83o 
1245 
1660 
2075 
2490 
2905 
33 20 
3735 
4i2 
824 
1236 
i648 
2060 
2472 
2884 
3296 



36993708 



416 
832 
1248 
i664 
2080 
2496 
2912 
3328 
3744 
4i3 
826 
1239 
i652 
2o65 
2478 
2891 
33o4 
3717 



01234 56789 





Diff. & MuIU 



LOGABITHMS OF NUMBERS. 



Nam. 

1060 

6i 

63 

63 
64 

65 
66 
67 
68 
69 

1070 

71 
72 
73 
74 

75 
76 
77 
78 
79 
1080 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

1090 

9» 
92 

93 
94 

96 

9Z 
98 

99 

iioo 

01 

oa 

o3 

04 

o5 
06 

07 
08 

09 
II 10 
II 
la 
i3 
i4 

i5 
16 
17 
18 

»9 
Nam. 



12 3 4 5 6 7 



8 9_ 

0437 ^^1^30 
45154934 

3^m 



DiK «t Mulu 



©^ 3o59 

• 71^ 
036 i'>4S 

5333 
« 94(6 

057 3496 

tt 7673 

oaS 1644 

57r3 

• 9777 
O30 383S 

.''7895 

o3o (94^ 

5997 

o3j 0043 

4o85 

• 6ta3 
oSa 31 57 

6168 

033 Qi J 4 

4a38 

• S3 57 

034 3 373" 
6285 

035 0393 

4^97 

• 819^ 

036 3395 
63. ^ 

037 0279 

4365 

« B34B 

o3fl aa^ 

6^03 

0390173 

4i4t 

t 8iri6 

o4o 2066 

6o33 

■ 9977 

o4i 3937 

• 7^73 
043 ]St6 

5755 

• 969 

043 36a3 
« 755i 

044 1476 
5398 

« 93]5 

0453230 

• 71 4 1 
o46io48 

4953 
« 8851 

047 ^749 

• 664a 
o48o535 

44ia 
m 83of 



346W3878 

-563 

r654 

5741 

^M 

3904 

7979 

2o5j 

6[T9 

[83 

4a44 
e3otj 
:i353 
6403 
(1447 



44B9 
8S26 
j56o 
6S9U 
0617 

464o 
S659 
?674 

1J693 

4(196 
B698 
26q5 

:8 
1676 

4663 
8646 

36?4 

6599 
0570 

4538 
65oa 
2462. 
6419 
#373 

4333 
SadS 

3 3 10 

6149 

084 

4ot6 
■944 
869 
5790 
9707 
3621 
753 1 
■ 438 
534? 
9342 

3 1 38 
7o3i 
C392r 
4So6 
i8689 



43884697 
83838791 



721 

1356 1660 



4893 
6930 
39(^3 
6993 
1019 

S042 
91J60 
io75 

7087 
1094 

5098 

^^"^ . 

it 94 1 M94 
Tf>87 -'4fc6 
147^ 
5460 

044 

7393 
i304 



5727 



6965 
068 a 

4795 



o4u 



5 J 07 

O'jrjo 
3389 
737? 
i457j 

5535 
9609 
3670 

7745 
1808 

5867 

3973 

BOiQ 

2064 

6104 
• i4fi 

4173 

8301 

3226 
6248 

*365 

4279 
83H9 
3 2y(i 

6*^2 98 

*^97 
4393 

8384 

2272 

6357 

• 23? 

4214 

8 J 88 
3i58 

6124 
•086 
4t>45 
8of>i 
1953 

9^45 
3786 

7733 
1657 

5587 

o5i4 

343 

7357 

1273 

5i86 

?^^ 
Stxio 

6002 

0801 

4696 
85&7 
3475 
636o 

*24l 



6678 

0732 

4783 
883o 
2873 

6913 
0947 

4979 
9007 
3o3 1 



7749 

(664 



fig 1 7 
C>878 
4837 

879^ 

3742 



D2q5 
+ 339 
4t&o 
8117 
2o5o 

59806373 



399 

4333 

8i4o 
3d56 



5474 

9365 
3a53 
7i36 
1017 



6757 
o&3o 
48^9 
8964 
3<>26 



7! 65 
1337 
53o6 
9371 
J433 

7480 
i543 
5592 
9638 
368i 

7719 
17^4 
5785 
94^19 981 3 
3433 3835 



7453 

1470 

US7 

9491 

3497 

7496 

r496 

S49 

948 

3468 

745: 
■ 43 

54o7 

tl2 



7fj84 
038 
4968 
8904 
2837 

6766 
0693 
461 4 
8532 
2447 



7855 
1871 
5884 
989a 
3397 

7898 
J 896 
5890 
9880 
3867 

7849 
1829 

58o4 
9776 
3745 

77^ 
tD70 
5626 
0S82 
3532 

7479 
1422 
536i 

7159 
1084 
5oc6 
8934 
3839 



63596750 
0657 
456 r 
6462 
2359 

5864'63 53 
9754,*i43 



364 1 

7535 
i4o5 



4o3o 
7913 
t79^_ 



4o6s 
813! 
I'iiB 
\6U 
jo3o 
2436 
^843 
3348 
3654 
4o3 

604 

1 3o6 

1608 

2oro 
74 1 2 
*8i4 
3= 16 
36ih 
399 
79^ 
1197 
1596 
1995 
3394 

3793 
319a 
3591 

ub8 
1 584 
1980 
:^376 
2772 
3i68 
3564 
^3 
786 

1,79 
1373 
1965 
2358 
375i 
3i44 
3537 

3^ 

1170 
i56o 
1050 
3J4o 
3730 
3 1 30 
35i 



4q8 
816 
raa4 
1 63a 
3o4o 
3448 
aB56 
3a64 
3672 

~4^ 
8l-6 
I yo9 

l6|3 

2oj5 
3418 
28^1 
3234 
3627 
4uci 
800 
[2CjC} 

t6oo 

3QOC' 
34t>0 



4fO 

8ao 
iiSo 
i64o 
3o5o 
a46o 
2870 
3280 
3590 

~^M 
808 

1313 
1616 
3 020 
3434 
3838 
3333 

3636 
4oi 

&03 

iao3 
1604 
3 00 5 
2406 



2800 2807 
33oo>33u8 
36oo 3609 

^98 
79S 
1194 
■ 593 



397 
7y4 
IT 91 
i5ha 
J 985 

23h3 

'J779 
3(76 
3573 



'^8 

1182 

1576 

1970 
3364 
2758 
3i52 
3546 



?388 
2786 
3i84 
358a 

I95 
790 
ii85 
i5&o 
1975 
9370 
2765 
3j6o 
3555 
393 
764 
TJ76 
i568 

2353 

2744 
3i36 
35a8 

1167 

i556 
i9^^5 
3334 
37^3 



% 

U73 
i564 
1955 
2346 

'2737 
3i38 
3519 

~388 

776 
J 164 

I 552 

1940 

3328 

^-716 

3iu4|3ii3 



I 
3492^3501 



D 1 2 3 4 



5 6 7 8 9 



mm & Mutt, 



LOGARITHMS OF U U BI B E R S * 



1180 

8i 
82 
S3 
84 

85 
86 

87 
88 

89 

II 90 

91 

94 

95 
9^ 

9Z 
98 
99 
laoo 
01 
oa 
o3 
04 

o5 
06 
07 
08 

09 

13 10 
II 

la 
i3 
i4 

i5 
16 

17 
18 

»9 

la ao 

31 
23 

a3 
U 

a5 
a6 

37 
38 

39 

13 3o 
3i 
Sa 
33 
34 

35 
36 

37 
38 

39 

Nan. 



12 3 4 



• ?847 
0733517 

• 7184 
0740847 

4507 

• 8164 
075 1819 



"-^tf4^i 



a34 

6910 

o58a 

38844351 

755o 7916 

iai3 

4873 

853o 

ai84 



3549 29'4 
547o|5835l6i996564 



948a 
J137 
6768 
0407 

4o42 

7^5 

i3o4 

493 

8554 

3174 

5792 
g4o6 
3oi7 
6626 



• 91 18 
0763763 

64o4 
0770043 

3679 

• 73x3 
0780943 

4568 

• 8193 

079 181 3 
543o 

• 9045 

080 3656 
6365 

• 0870 

081 3473 

• 7073 
0830669 

4263 

• 7854 
o83i44 

5oa6 

• 8608 
0842187 

5763 

• 9336 
0853906 

6473 6830 
086 oo37 0395 

3598 3o54 

• 7157 75i 3 
0870713 

4265 

• 7814 
088 i36i 

4905 

• 8446 
0891984 

5519 

• 9o5i 
0903581 

61076460 



• q63i 
091 3i53 

66707031 
0930185 
3697 

• 7306 
0930713 



4o48 
7557 
1064 



7377 

4017 

8383 
1945 
56o5 
9361 



47695133 



i423 



3070 
56i3 
91 53 
3691 
6226 



6812 

335 

3855 



7373 
05360887 



4390 
7908 
i4i ' 



8224 
1778 



4975 533o 
85248878 



^424 



5 6 7 ■ 6 ^_ 

2l3l 

5807 
q48o 
5750 



0660 
4337 
8011 
i683 
535i 

9016 
2677 
6336 



2o56 
5717 
9382 
3o43 
6702 
♦357 
40104375 



7294 



4i 

8224 

1862 

5496 
9137 
3755 
638o 
♦oo3 

3633 

7338 
o85i 
446i 
8068 

1673 
5373 
8871 
2467 



7659 i 
i3o5 
4948 
8588 

2225 



6743 
o365 

3983- 
7599 
1212 
4822 



60596416 

§648 
3234 



842987899150 

2753 
6353 

7i36 



2032 

5633 
9231 
2826 



6817 
0398 
3975 

7550 
1121 
4690 
8255 
1818 

5378 
8935 
2489 
6o4o 



3i33 
6676 

♦2l5 

3752 

7285 



0816 
4344 
7869 

139a 
49II 

8437 
1941 
5452 
8960 9311 



2465 



1028 
4705 



83798746 



2416 
6084 

0748 
3409 

7068 
0723 



ii4 
3775 
7433 
1088 
4740 

8024 8388 
16692034 
53i2 '" " 



8952- 
2589 



58596: 



>222 
9853 
3480 
7105 
0727 

4345 
7961 
1573 

5i83 



1 169 
4697 
8222 
1744 
5263 



2293 
58o3 



3816 



1396 

5073 



1763 
5440 
91 13 
3783 
64506817 



o48i 
4i4i 

5io5 

8753 
3398 

56766040 

93x6 

3953 

6585 

♦3l6 

3843 

7467 
1089 

4707 

8333 

934 

5d43 



♦007 
3593 
7176 
0756 
4333 

7907 
1478 
5o46 
8613 
2174 

5734 
9290 
2844 
6395 
9943 

3488 
7o3o 7384 
0569 
4io5 
7639 



87799130948: 



2644 
61 54 
9661 
3x66 



6949 
0579 
4206 
783o 
i45i 

5o68 
8683 
2295 
5< 



0734 
4309 
7892 

147 
5o48 

862 

219a 

5700 

9324 

3886 

6445 
♦001 
3^554 
7104 
o65a 

4196 
7738 
X376 
48x3 
8345 

1875 
54oa 
8936 
2448 
5966 



a 

6??5 
♦01 a 
35i6 



3ii3 
67x3 
3xo 
3904 
7495 

io83 
4668 
8a5o 
1839 
54o5 

^1 

6116 
>68i 
I342 

6801 
o357 
3909 
745g 
1006 

455o 

% 
i63o 

5i65 



2228 
5755 
9279 
2800 
63i8 

9833 
3346 
6856 
o363 
3867 



3 4 



5 6 7 8 9 



Dim It Molt, 



365 
73o 
1095 
1400 
1825 
2190 
2555 
2920 
3285 



366 
732 
1098 
1464 
i83o 
21 

25 

2928 
3294 



362 
724 
1086 
i448 
x8io 
2172 
2534 
2896 
3258 



363 
726 
1089 
i452 
i8i5 
2178 
254i 
2904 
3267 



364 
728 
1092 
i456 
1820 
2184 
2548 
2912 
3276 



1077 

i436 
1795 
2x54 
25x3 
2872 
323i 



36o 
720 
1080 
i44o 
1800 
2160 
2520 
2880 
3240 



36i 
722 
io83 
1444 
i8o5 
2x66 
2527 
2888 
3249 



356 
712 
X068 
1424 
X780 
2x36 
2492 
2848 
32o4 



357 
714 
107X 
1428 
1785 

2X42 

32x3 



358 
716 
1074 
x432 
1790 
2x48 
25o6 
2864 

3222 



353 
706 
X059 

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LOaABITBMS OF N U M B E ft S . 



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62 

63 
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65 
66 
67 
68 
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71 
72 
73 
74 

75 
76 
77 
78 
79 
1280 
81 
82 
83 
84 

85 
86 
87 
88 
89 

1290 
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3094 

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336 

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DiC&Mult. 



LOGAEITBMS OF NUMB£ES. 



Statu 

1300 

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o3 
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06 
07 
08 
09 
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13 

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l3 30 
31 
33 
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35 
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27 
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33 

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37 
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42 
43 
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45 
46 
47 
48 

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53 

53 
54 

55 
56 

57 
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1 2 



5 6 7 8 9 



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• 9434 
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133 3l59 
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7436 
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319 
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640 643 



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12801284 



1600 
1920 
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321 



963 



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1936 
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01234 56789 



Diir. Jt Mult. 



10 



LOGARITHMS OF N U K B £ B S * 



Nani. 

1960 

6i 
62 
63 
64 

65 
66 
67 
68 

69 
1370 

71 
72 
73 
74 

75 
76 
77 
78 
79 
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81 
82 
83 
84 

85 
86 

87 
88 
89 

1390 

91 
92 

93 

99 
1400 
01 
02 
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04 

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06 
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08 
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16 

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12 3 4 



5 6 7 8 9 



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133 5389 
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• 9853 
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• 91 10 

49 2 191 
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50 1422 
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1 178 
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5708 
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7840 
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681b 
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3l22 

6272 

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3566 



1078 
4208 
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♦162 
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8100 
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I 


271 


2 


542 


3 


8i3 


4 


1084 


5 


i355 


6 


1626 


I 


1807 
2168 


9 


2439 



1 



8 4 5 6 7 8 9 



27a 
544 
816 
1088 
i36o 
i63a 
1904 
2176 
2448 



Diff. Jt Hvlt. 



14 



LOGAtttTHMS OP NtTMBEHS.. 



Num. 

1000 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 

09 
16 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

>9 
16 ao 
at 
aa 
a3 
24 

a5 
a6 

27 
a8 

29 
16 3o 
3i 
3a 
33 
34 

35 
36 

37 
38 

39 
16 4o 
4i 
42 
43 
44 

45 
46 
47 
48 

49 
16 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

Nam. 



1 2 



ao4 1200 

3oi3 

6625 

• 9335 

ao5ao44 



7167 
96069877 



475o 
7455 
ao6 0169 0429 
a86o~ " 
556o 

• 8a59 

3070955 

365o 



1994 aa63 
468a 495i 
73697637 
o3aa 
3oo5 



78308098 
0776 
3453 
61 a8 



• 957a 
ai7 aao7 

4839 

7471 

ai8oioo 

2770 

5355 

• 7080 
2190603 

3aa5 
5845 



8a4a 
0866 
3487 
6107 
• 8464 87a6 



23i4 3585 



5oai 

7726 



3i3i 
583o 



5a9a 556a 
7996 8267 

3401 
6100 



5686 
8366 
io44 
3730 
6395 



5443 
8098 
075a 
39 34o4 
6o55 

8703 
35o 



1743 aoi4 
4456 4727 



7438 
♦i48 
3856 



9068 
1764 
4459 
7i5i 
95739^43 



5709 
8364 
1017 
3669 
63i9 

8968 
i6i5 



4360 4535 

6904 

9546 

3187 
4836 
7463 

1^ 

5366 

0636 
3354 



8360 
0889 
35i7 
588o6i43 

85o5 
1138 
37494011 



4 

4998 
7709 
0419 
3i37 

5833 
8537 
1340 
3o4i 
6640 

9338 
ao34 
4728 
74a I 
♦III 

a8oi 
5488 
8174 
0859 
354i 

6333 
8903 

1579 
4355 
6930 

9603 
3374 
4o43 
761 1 
0377 

3943 
56o5 
8366 
0936 
3584 

6340 
8895 
1 548 

ii99 
6849 

3i44 
478? 
7433 
♦075 

3715 
5354 

799^ 

36 

3360 

56395893 
-^ " 8533 

Il53 

3779 

64o5 



5 6 7 8 9 



5q54 
8634 

l3l3 

3988 
6663 

9335 
aoo7 
4676 
7344 
♦on 

3675 

533b 
8000 
0660 
33i8 

5974 
8639 
383 
3934 
6584 

9333 
1880 



9o3o 
1 65a 
4273 
6893 
3499511 



a557 3838 
53695541 
-* 835 1 



6374 



3397 

6io3 
8807 
i5io 

43II 

6910 

9607 
a3o3 

4097 
7690 
o38o 

3070 
5757 
8443 
1137 
38io 



6036 62( 

8711 
1395 
4078 



6490 6758 7036 7394 



9763 
2409 
5o54 



o33oo6o3 



8354 
0890 
3533 

6i55 
8786 
i4i5 
4043 
6668 

9393 
1914 
4535 
7155 

9773 



9078 9348 
78o3o5o 



9170 
i847 
45a3 

7197 
9870 
3541 

53IO 

7878 

o544 
33o8 
5871 
8533 
1191 
3849 4ii 5 

65o5 

91609435 

i8i3 

4464 

7114 



9437 

3Il5 

4790 
7464 

♦137 
3808 
5477 
8144 
0810 

3474 
6i37 
8798 
1457 



473o4< 



♦037 
3673 
53i8 



3371 
6o83 

8793 
i5o3 



3939 4209 4480 



74497719 

o4i6 

3lI3 

58o5 
8407 
1 187 

3876 
6563 



0686 
338i 
6074 
8766 
i456 

4i45 

6833 

93489517 



4346 



3343 
588i 
85i8 
ii53 
3786 4o5o 

64i8 

904993 
1677 
43o5 
6930 

95549816 

2177 
4797 
7417 
♦o34 



193a 
46i4 



97059973 
365o 
5325 
7999 
0671 
3343 
6010 
8678 
i343 

4007 
6669 
9330 



7303 
9o56 
2609 
5360 
7909 
o556 
33o3 
5847 
84go 
ii3i 

3771 
6409 
9045 
1680 
43x3 

6945 
9575 

3303 

483o 
7455 

079 
3701 
5331 
7940 
o558 



1647 
6354 
9064 

1773 



7308 



o34i 



01234 56789 



Diir. 4c Mult. 



371 
543 

8r3 
1084 

1807 

^m 

3439 



807 
1076 
1 345 
1614 
j883 

3l5l 
?431 



261 

763 
1044 

1 3o5 



27a 

544 

816 

roSa 

]36o 

1&33 

1904 

2176 
2448 



270 
540 
8jo 
T060 
i35o 
i6ao 
1890 
2160 
243e> 



I 


267 


a 


534 


3 


hot 


4 


1068 1 


5 


i335 


6 


i6oa 


7 
8 


2?36 


9 


34o3 



268 

536 
8q4 
T07a 
i34o 

1876 
2144 
24Ta 



1 


263 


a 


5a6 


3 


789 


4 


io5a 


5 


j3i5 


6 


1578 


7 


1841 


8 


2lo4 


9 


2367 



364 

528 

70a 

io56 

1 320 

i5S4 
1848 

91 12 

2376 



2631 

786 
io4& 
t3io 



i566 iSia 

1827 ;S34 

2D&8 aooG 

3349 I 2356 

Djr. Ml ft! uH. 



765 


266 




53o 


53a 




J060 


X 




i325 


i33o 




l8?5 


\^. 




2120 


1138 




2385 


»394 





LOGARITHMS OF NUMBERS. 



15 



Num. 

1660 

6i 
6a 
63 
64 

65 
66 

67 
66 

69 

1670 

71 
72 
73 
74 

75 
76 
77 
78 
79 
1680 
81 
8a 
83 
84 

85 
86 

87 
88 
89 

X690 
9» 

99 

1700 
01 
02 
o3 
04 

o5 
06 

«»7 
08 

09 
17 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

Nym. 



320 108 

3696 



63io657 



1794 
44o3 
7011 



935696179877 
a48i 
5o84 



• 8922 
221 i533 

4i4a 

aaa i960 
4o63 

7i65 

• 9764 
aa3 2363 

.7?5? 

224 01 48 0407 
a74o 
533 

• 79ao 
aa5o5o7 



aaai 
48a4 

74a5 



81788437 
1024 



3093 

5677 

• 8260 

aa6o84i 

34a I 



5?P 

II78 
0766 

335i 
5935 
85i8 
1099 



• 8i 

227 ii5i 
3724 
6296 

• 8867 

228 i436 
4oo4 



6818 

• 9^77 

a3o 1934 



23i 2i46 
4696 



7244 



23a 



4879 
74a I 

233 25oo 
5o38 
7574 

2340108 

264 
5i73 
7703 
235 oa32 
2759 



1 

TI42 
3958 



2 3 4 



5 6 7 8 9 



1604 
4219 
6833 



918494459706 



2o55 

4664 

7271 



7685 

♦024 0284 

2882 



26a a 
5ai9 
7814 



547? 
8075 

0667 
3a58 



36io 
61 

8776 

i357 

36793937 

6a57 65i5 



8833 
i4o8 
398a 
6554 

9124 

1693 

4260 

6570 68a6 



• 9134 939r> 9647 



1953 
45i5 

7074 



ai89 

4745 
7298 
95969851 
a4oi 
4951 



a59o 
5i33 
7675 

♦ai5 
2754 
5291 
7827 
o362 

2894 
5426 



3oii 



1866 
4481 
7094 



23i6 

4925 
7532 
♦i38 
2741 
5344 

7?45 
o544 
3x42 
5738 
8333 



0936 
35i7 



58496107 



94645 



3868 
a 
9034 
161 5 
4194 
6772 



39 44* 



I 

42. 
6811 

9381 
1950 

4517 
7083 



2209 

4771 



96339888 



2445 

5ooo 
7554 
♦106 
2656 
5206 

7753 
0299 
2844 
5387 
79298] 



o46o 
3oo8 
5545 
8081 
o6i5 

3i48 



3401 

56795932 

7^5682098462 



0484 0737 



3264 



2127 
4742 
7355 



5i86 

7793 
0398 
3oo2 
56o4 

8205 
0804 
3402 



ii85 

3777 

6366 

86968955 



1283 i54i 



4127 
6710 
9393 
1873 
445a 

7o3o 



93489606 



I9a3 
4496 
7068 



9638 
aao6 

4774 
733o 
19903 

a466 
5oa7 



7330 7586 



144 
a70i 

5a56 



o36i 
3911 
5460 



8008 
o554 
3098 
5641 
i83 

07a3 
3a62 
5709 
8334 
0868 



2180 
4753 
7325 

% 

5o3o 

7506 

♦159 

2722 
5a83 
7842 
o4oo 
2956 

55ii 



78098064 



0616 
3r66 
5715 

8263 
0808 
3353 
5896 
8437 

0977 
35i5 
6o52 
8588 
1122 

3654 
6i85 
8715 
1243 
3769 



7617 
♦2a8 
2838 



54465707 
" ""83i4 



8o53 
o658 
3262 
58646x24 



8465 
1064 
366i 
6257 
8852 

i444 



4o36 4295 



6625 
92x3 
1800 

4385 

§^ 

ai3i 
4710 

7288 
9863 
2438 
5oii 
758a 

♦i5a 
27ao 
5287 
785a 



8967 

1495 
4oaa 



265o 
5265 
7878 



04890756 
3099 



^It 



8725 
i3a4 
3921 
65i7 
911 

1704 



2io3 

4700 

6776 7o36 7295 

9889 



6884 
9472 
ao59 

4644 

7227 

9??9 
2389 

4968 

7545 
♦tax 
2695 
5268 



o4i6 0672 

3a34 
5795 
8354 
091 1 
3467 
6oa2 
8575 
IX 26 
3676 
6225 

8772 
i3i7 
386i 
64o4 



x485 
4o23 
6550 

i6a8 



3907 
64386691 



9a ao 

748 

4274 



5?" 



a6 

5o 
336o 



8x3984oo866i 



5968 
8574 
1 179 
3783 



62a9648o 
88359095 



x44o 
4043 



63846645 



8985 
x583 
4i8i 



92459505 



1843 
4440 



93709630 



T963 
4554 
7143 
9731 
23x7 

4902 
7485 
♦067 
a647 
5aa6 

7803 
0378 
a953 
55a5 



aaaa 
48x3 
74oa 

^ 

5x6o 
7743 
o3a5 
3905 
5484 
8060 



o636o8o3 



78398096 

0409 

2977 
5543 
8108 



0666 
3a33 
58oo 
8365 
0938 

3490 
6o5i 



i8al6 

4370 

6912 

8945 9199 9453 



X739 
4277 
68x3 
9348960 



4160 44i4 



6944 
9473 



3x73 

5788 



lOXX 

3621 



1700 
43o3 
6905 



3aio 
578a 
8353 

0933 
3490 
6057 
86a X 
1x85 

3746 
63o7 



1x67 
3723 

6277 
883o 
i38i 
3931 
64806734 

90369381 

157a 
4xi6 
6658 



453o 

7067 

I 

ax35 

4667 
7197 
9726 

2353 



4537 4779 



3435 
6049 



137a 
3882 



a48i 
507a 
7661 
♦a48 
3834 

54x9 
8003 
o583 
3x63 
5741 
83x8 



3467 
6039 
8610 

X179 

3747 
63x3 
8878 
i44i 

4oo3 
6563 

9X3X 

1423 1678 
39784234 

653a 

90859340 
1 636 
4x86 



X891 
444i 
6989 

9536 
3o8x 
4634 
7x66 
9707 

3246 

4784 
7330 
9855 
3388 

4930 
745o 



3; 
5o33 



1234 56789 



DiflT. 4c Molt. 



360 

530 

780 

io4o 



x56o 

X830 

2080 
a34o 



261 
522 
783 
1044 



i3oo4 x3o5 



x566 
1827 
2088 
3349 



I 


258 


2 


5x6 


3 


774 


4 


io32 


5 


xa9o 


6 


i548 


7 


x8o6 


8 


ao64 


i 


3333 



259 
5x8 

777 
xo36 



i8x3 
3073 
333x 



I 


256 


2 


5m 


3 


768 


4 


1034 


5 


X280 


6 


x536 


7 


1792 


8 


2o48 


9 


23o4 



257 

5x4 

771 

1028 

1285 

x543 

2o5o 
23x3 



I 


254 


2 


5o8 


3 


763 


4 


10x6 


5 


X370 


6 


i534 


7 


1778 


8 


2032 


9_ 


2386 



255 
5io 
765 
X020 
X375 
i53o 
X785 
3o46 
3395 



I 


353 


3 


5o4 


3 


756 


4 


1008 


5 


X260 


6 


X5X2 


7 


1764 


8 


20x6 


9 


2268 



253 
5o6 

759 
10x2 
1265 
x5i8 
1771 
2024 
2277 



Dlff. 4c Mult. 



16 



LOliARlTK^fS OF NUMBERS. 



Num. 
1730 

31 

7% 

a3 

M 

a5 
a6 

37 
7d 

39 

1730 
3i 
3i 
33 
34 
35 
36 
37 
36 
3v 

1740 
4i 
4^ 
43 
44 

45 
46 

47 
48 
49 

17 So 

5i 
5a 
53 
54 

55 
56 
57 
58 
59 

1760 
61 

61 
63 
64 

65 
66 
67 
68 
69 

1770 
71 
7a 
73 
74 

75 
76 
77 
7» 
79 



12 3 4 



235 5284 



3537 



^789 
83i3 
o836 
3357 
58766; 

83948646*8898 



60426394 
8566 8818 
io88|x34o 
36o9'386i 
6i28!638o 



5 6_ 

65476799 



9 

♦079 



DIA: » Mult, 

^5r 



• , - - 
a36o33 
3853 
h W73 



7B098061 

^■•0584 

3io5 

5625 



0660091 



5689 594* 
8201 " '" 



3222 



82368487 
0992 

3495 



# 7891 81 

137 o4o^ 06 

2023 3l 

5437 "" 

• 795f 

238o46i 071 
2971 
547? 
» 7^ 

239 0491 074 

2995 3245 

5497 5747 

• 79988248 

240 0498 0748 
29963246 

5493 574- 

* 79888237 
a4i 04820731 

297413223 
5465^5714 

* 79548203 
342 0442*0691 

39293178 
54U'5663 
8i46 



573059806231648a 



8498 
0997 
3495 

8??7 
0980 

3472 
5963 

8452 
0940 
3426 
591 1 
789881468395 

243038006290877 
286J ~ 
5341 
7B19 



5589 
8067 



78408087 
" o552 



244 0296 o543 

3771 ---, 
5a45 5492 
77187965 

245 0169 o436 
a658 2905 

51275373 
7694 7840 

346 oo>9o3o6 
aSa;! 2769 
4986 5232 

74477693 

# 9907*1 53 

347 afe 261 1 
48a3 5o68 
7378 7524 

• 97339978 
24B a [862431 

46374882 

7087 7332 

ft 95369781 

249 1984 2228 

4i3oi4674 

6B747119 

t 93189562 

a5o 1759; 2004 



34263678 



10 
8452 

0963 
3472 



6191 
87038955 

2i4 1465 



8988 
1493 

3996 

599862486498 



8737 
1242 

3746 



8748 
1247 
3745 

6241 
8736 
1229 
3721 
6212 



87018950 
1 189' 1437 
3675;3923 
61606408 
86438891 



3109 3357 



5837 
83i5 
0791 

30193266 



5740 
8212 
0683 
3i52 

5620 



Ii63i4i4 
644S 



3723 



3974 



8998 
1497 
3995 

6491 
8985 

1479 
3970 
646i 



1125 
36o5 
6o85 
8562 
1039 

35i4 



1373 
3853 
6332 
8810 
1286 

3761 



59876234 
84598706 



oo3o 
3399 

5867 
8333 
0798 
30163202 
5724 
8i85 



3io3 
5559 
8oi5 



2921 

5372 
7822 
0271 

2718 
5i63 



♦o5o 
242 



1177 
3646 

6114 
858o 
1045 
35o8 
5970 

843i 



06450891 



334q 
58o5 
8260 



04690714 



3i66 
56i7 
8067 
o5i5 

2962 
5408 



7607 7852 



0204 
2736 



9070 
1592 
4ii3 



6632 6884 
91509401 



1666 
4i8i 



66946945 
92069457 



1716 

422544764727 



6732 
9238 
1743 



1967 
4476 
6983 



4246449647474997 



67486998 
92489498 
1997 



1747 
4244 

6740 
9235 
1728 
4220 
671 



44694718 
069597208 



91 

4172 
6656 
9139 

1621 
4ioi 
658o 
9o58 
i534 

4008 
6482 
8953 
1424 
3893 

636o 
8826 
1 291 
3755 
6217 

8677 
ii36 
35q4 
6o5i 
85o6 

0959 
3412 
5862 
83i2 
0760 



3207 
5652 
8006 
0539 
2980 3224 



9323 
1844 
4365 



1917 
4432 



2247 
44944744 



1977 



1781 



9200 
1671 
4i4o 

6607 



1 538 
4ooi 



8923 
1 382 



6296 

8751 

I2o5 

3657 
6107 
8557 
ioo5 



345i 
5897 
834o 
0783 



7o52 



9575 9827 
2097 



2349 ^601 
48695121 



4617 
71367387 

96539905 



2169 
4683 
7196 
9708 

2218 
4727 
7234 
9739 
2244 



9959*210 

2469 2720 

4977 
7484 



5228 

7735 

9739999*?**^^ 



72487498 
97489998 



2226 



4967 

7457 

9945 
2432 

4917 
7401 



4660 
7i53 
96369884 



1935 
4420 
6905 
9388 

1869 

6828 707617324 
93o5 9553 9801 



2117 



2029 



4256 45o3 
67296976 



9448 
,18 

6854 



9073 9320 < 



1784 
4247 



6463670969! 



9i6< 
?62( 



94i5 

1874 

384o4o86433i 

"6787 



6542 
8997 
x45o 
3902 
6352 
8802 
1249 
3696 
6i4i 
8585 
1027 
3468 



73o4 



7639 

i56 
2^2012672 



4935 
7448 



2494 



5247 
7748 
♦248 
2746 
5a43 

7738 

232 

247612725 



2496 
4993 



2365 



I 
2276 

475o 
7223 
" 6 
2165 



7100 



9242 

1695 
4i47 
6597 
9047 
1494 

3o4i 
6385 



1271 
3712 



5i86 
7699 



5216 

7705 



5i66 
765o 
♦i3a 

2613 
5093 

7571 
♦048 

2524 

4998 



7470 
9942 

241 1 

4880 

7347 



95669813 

2o3o 

4493 

|55 



2277 
4740 
7201 

9661 
2120 

4577 
7o33 

9487 

1940 
4392 
6842 
9201 
1739 

4i85 
663o 



8829 9073 



i5i5 
3956 



252 

5o4 

1008 
1260 

l5l2 

1764 

aof6 
2266 



5o6 
759 
1012 
1365 
i5i8 
1771 
3024 
2277 



I 


25o 


2 


5oo 


3 


75o 


4 


1000 


5 


I25o 


6 


i5oo 


7 


1750 


8 




9_ 


225o 



25l 

5o2 
7S3 
xoo4 
1255 
i5o6 
1757 
2008 
2259 



X 


248 


2 


496 


3 


744 


4 


9P2 


5 


i24o 


6 


1 488 


7 


1736 


8 


1964 


9 


aa33 



4i 

7^7 

996 

J 245 
J494 
1743 
199a 
2241 



I 


246 1 


2 

3 


% 


4 


984 


5 


123o 


6 


1476 


7 


1732 


8 


,968 


? 


22l4 



494 

74i 
98S 

1335 

i482 

1976 

3223 



I 


244 


3 


488 


3 


733 


4 


976 


5 


1220 


6 


1464 


7 


1708 


8 


1952 


9 


..96 



545 

980 
1335 

1470 

I7i5 

T960 

33o5 



01234 56789 



PUT, k Itult. 



LOGARITHMS OF N U Al B £ E S . 



17 



Nun. 

mo 

8i 
82 
83 
84 

85 
86 
87 
88 
89 

1790 

9' 
92 

98 

99 
1800 
01 
02 
o3 
o4 

o5 
06 
07 
08 

09 

18 10 

II 

12 

i3 
U 



12 3 4 



5 6 7 



5176 
7614 
♦062 



8 

6757 
8590 
1026 
3462 



9 

6 

1270 
3705 



DiflT. 4c Malt. 



250 42CX) 



4444 



• 9077 

25i i5i3 



66396883 
9321 
1757 

39494192 

6625 
9o58 
i48o 
3918 
6346 



6382 
* 88i5 

252 1246 
3675 

6io3 



• 85308773 
253 0956 * 



J 0950 
338o 
58o3 



1 198 

3622 

6o45 



• 8224846687098951 



254 0645 
3o63 
5481 

• 7897 
255o3i2 

27;i5 
5i37 
7548 

256??65 

477a 
7177 

• 9582 
257 1984 

4386 

6786 

• 9185 
358x582 

3078 
6373 



4688 

7127 



95649808 

2001 

4435 



6869 
9301 
1732 
4i6i 



65896832 



0886 
33o5 
5722 
8i38 
o553 

2966 
5378 

7789 
♦198 
2606 

5oi3 
7418 
9822 
2224 
4626 



4j32 

7371 



2244 2488 
46794922 



7112 

9544 

975 

44o4 



9016 
i44 
3865 
6287 



9258 950 



i683 
4107 
6529677: 



1 128 
3547 
5964 
838o 
0794 

3208 
5619 
8o3o 
0439 
2847 

5253 
7658 
♦062 
2465 
4866 



1370 
3780 
6206 
8621 
io36 

34493690 



586o 
8271 
0680 
3087 

5494 

7899 
o3o2 

2705 
5io6 



94249664 
1822 " 
4218 
6612 



7355 

9787 

22l8 

4647 
7074 



I 
1926 

4349 

2 

9193 

1612 
4o3o 
6447 
8863 
1277 



6102 
85i2 
0921 
3328 

5734 
8139 
o543 
2945 
5346 

7745 
♦i44 
254i 
4q36 
733o 



34993738 




2o37 
4400 



5420 
7858 

O2o5 

275 1 
5i66 



5664 
8102 
0539 
2975 
5409 



7509 7842 
♦o3o 0273 



2461 
4889 
7317 



2703 
5i32 
75607802 



97439986 



2168 
4592 
7014 
9435 

1 854 
4272 
66891 
9104 
i5i9 

3931 
6343 
8753 
1161 
3569 

5^5 
838o 
0783 
3i85 
5586 



241 1 
4834 
7256 
9677 
2096 
45i4 
6931 
9^46 
1760 

4172 
6584 



8994 9235 

' 1643 

4o5o 

6456 
8860 
1264 
3665 



1462 
38io 

62x5 
8620 

1023 

3425 



7085 
o383 



7544 

990? 
2273 
4636 
6998 



5908 
8346 
0783 
32x8 
5652 

8o85 
o5x6 
2946 
5375 



♦228 

2653 

5076 

7498 

99«9 

2338 

4756 4997 
74i4 
9829 
2242 



7172 

9587 
2001 

44i4 
6825 



58266066 



8225 
0623 

3o20 

[i5 
7570 7809 



♦i46 

25lO 

4873 



77808017 



o382 
2746 
5109 



7234 7470 



58966139 

8328 
0759 
31893432 
56i8 586i 



8571 
1002 



8045 

o47» 
2895 
53x8 
7740 
i6x 



8288 

0713 
3x38 
556i 
7982 
o4o3 



258o 2822 
5239 
7655 
♦070 
2484 



4655 
7066 
9475 
1884 
4291 

6696 
9101 
x5o4 
3905 
63o6 

8705 
iio3 



8781 
ii5i 
3520 
5887 



0619 
2982 

5345 
7706 



7307 
9716 

2X25 

453i 

6037 
9^41 
1744 
4i46 
6546 

8q45 
x342 



9018 
x388 
3757 
6124 



82548490 



o855 
3219 
558x 
7942 



I 


242 


2 


484 


3 


726 


i 


968 
1210 


6 


1452 


7 
8 


1694 
1936 


9 


2x78 



246 
480 
720 

960 

1200 
i44o 
1680 
1920 
2160 



243 
486 
729 
972 

I2l5 

i458 
1701 
1944 

2x87 



24l 

482 
723 

964 

I205 

,446 
1687 
1928 
2169 



x 


238 


2 


476 


3 


714 


4 


952 


5 


1190 


6 


1428 


7 


x666 


8 


1904 


91 


2142 



239 

478 
717 

956 
1 195 
1434 
1673 
1912 
2x5i 



236 


237 


472 


474 


708 


7x1 


944 


9^ 


1180 


1x85 


x4i6 


1422 


x652 


1659 


1888 


1890 


2x24 


2X^ 



Norn. 



01234 56789 



Diff. iL MnlU 



18 



LOGARITHMS OF NUMBERS. 



1840 

4i 

43 
44 

45 
46 
47 
48 

49 

i8 5o 

5i 

52 

53 
54 

55 
56 

57 
58 

59 
i860 
6i 
6a 
63 
64 

65 
66 

67 
68 

69 

1870 

71 
72 
73. 
74 

75 
76 
77 
78 
79 
1880 
81 
82 
83 
84 

85 
86 

87 
88 
89 

1890 

91 
92 

98 
99 

Nam. 



• 8178 

265o538 

2806 

5253 



76097845 



66 25i7 



266 



46694904 
70207255 
9369J9604 

1952 



267 1717 
4o64 



64106644 



• 8754 
268 1097 

3439 
5780 

• 81 



8q 



3673 
6014 



98353 

26904570691 

'3o28 



2794 



5l2( 

746^ 

• 9797 
2702129 



5^5363 

7697 
♦o3o 

2362 



44594692 



6788 

• 91 16 
271 1443 

3760 
6093 

# 84i6 
372 0738 

3o58 
5378 



273 001 3 

2328 

4643 

6956 

• 9268 

2741578 
3888 



• 85o3 
2750809 

3ii4 

5417 

_^77i9 
2760020 

2320 



4618 

6915 

• 921 1 

277 i5o6 



6092 

• 8383 

2780673 

2962 

52 5o 



12 3 4 

84i4|865o{8886j9i22 



5 6 7 8 9 



0774 
3i32 



lOIO 

3368 
5725 
8o8o83i6|85! 



99 0434 0670 0905 
52 2787 3o23 3258 



♦I 

2552 



7490 

9839 

2187 

45; 

68 



429945334768 



7021 
4ooi 



087? 
922J" 
1 566 

3907 
6248 
8587 
0925 
3261 

55o6 
7930 
0263 
2595 
4925 

7254 
9582 
1908 
4234 



76967928 



4874 
7187 



1809 

4119 

61966427 



1039 

3344 
5647 

7949 
oa5c) 
2549 

4848 
7145 
9441 
1736 



1270 

3574 
5877 
8179 
o48o 
2779 

5078 
7375 
9670 
1965 
38004029 4258 



6321 
8612 
0902 
3191 
5478 



51395374 



63256558 

86488881 
09701202 
32903522 
56io584i 



9457 
1800 

4i4i 
6482 
8821 
ii58 
3495 

583o 
8164 
0496 
2828 
5i58 

7487 
9815 

2l4l 

4466 
6790 



434 

3754 

6073 

81598391 

0244I0476 0708 
3o23 
5337 
765o 
9961 

2271 
458 1 
6888 



256o 2791 



5iof) 
7418 



94999730 



2o4o 

435o 

6658 

87348964 



655o 
884i 
ii3i 
3420 

5707 



1246 i48i 

36o4 

5960 



3o23|3258 
5609 



77257060 



♦074 
2421 



O^OQ 



2656 

5oo3 

71137348 



9692 
ao34 

4376 
6716 
9054 
1392 
3728 

6o63 
83o7 
0730 
3o6i 
5391 

7720 
♦047 
2374 

4699 
7022 



i56o 

38o5 
6108 



91 139345 



1666 
3986 
63o5 
8623 

0939 
3254 
5566 
7881 
192 

2502 

48ii 
711Q 



91^95 9426 
1731 



4o35 

6338 

84098640 

07100940 

30093239 

5307 
7604 
9900 
2194 
4488 

6780 
9070 
i36o 
3648 



5537 
7834 
129 
2424 
4717 
7009 



3877 
59366164 



93?8 

1717 
4075 
643i 



8787 9022 



66676903 



ii4o 



34933728 
5844 6080 



819584208664 
05430778 101 3 1246 i483 



2801 
52S7 
7582 
9926 
2268 

4610 
69507 



9288 
1626 
396: 



3i26 

5472 
7817 
♦ 160 
25o3 

4844 
i83 
9522 
1859 
4io5 



65306764 



0963 
3294 
5624 

7953 
0280 
2606 
4931 
7255 

9577 
1898 
4218 
6537 
8854 

1171 
348637 



8i85 
o5i3 
2839 
5i63 

7487 



8112 
0423 

2733 
5o42 
735o 



96569887 
1 961 



4265 
6568 



887091 



1170 



5767 
8o63 
0359 
2653 
4946 

7238 
9528 
1818 
4io6 
6393 



9594 9830 ♦o66jo3o: 
1953 2189I2425 266( 



376 



5941 
8285 



336o 

5706 
8o5i 
o3o4 

2737 

5078 
7417 
9756 
2093 
4429466 



8864 

196 

3527 



585760901 



9809 
2i3o 
445o 



l402 

«7 

I 



2964 
5273 

758i 
9887 
2192 



6798 

00 

i4oo 



8293 
o588 
2882 
5175 

7467 
9757 
2047 
4335 
6622 



1892425 
45464782 



92579493 

161 1 1846 
39634199 
63i5655o 



9097 
1429 
3760 



i634 



5799 6o3i 6262 6493 



8343 8574 
o654 o885 



3195 

52735504 

" 7811 

♦117 

2422 



9560 

860 

3469 3699 3929141 58 



7028 
9330 
i63o 



8523 
0818 

3lI2 

54o5 

7606 
9986 
2276 
4564 
685o 



7i38 



12 
2660 
5oi8 
7374 
9728 

2082 

4434 

6785 

88909134 



3595 383o 



06290863 



2971 

53i2 
765i 



999^ 
2327 



1662 

6323 

865i 
0078 
33o4 



84i8 
0745 
3071 
539615628 

7719I7952 

♦o4i 

2362 

4682 
7001 



0274 
2594 
4914 
7232 



9318 9549 9781 



i865 



39494180 



1 1 16 



5735 
8042 
o348 
2653 



4496472649566187 



622664566686 



8752 
1047 
334i 
5634 

7925 

2l5 

25o4 
4792 
7079 



6175 
8520 



32o5 

5546 
7885 
♦223 
256o 



723o 
9564 
895 
4226 
6555 



1211 
3536 
586i 
8184 

o5o6 
2826 
5i46 
7464 
1 



2097 
44ii 
6725 



88069037 



i347 



34263657 



5965 
8273 
0578 
2883 



72597489 



9790 
2090 
4388 



8982 

1277 
3570 
5863 

8i54 
0444 
2733 
5o2i 

7307 



12 34 56789 



Dim k. Mult 



470 
705 
940 
1 175 
i4io 
»645 
1880 

2Il5 



ill 

687 
916 
ii45 
1 374 
i6o3 
i832 
2061 



1W 

472 
706 
944 

1180 
j4i6 
i65a 
s888 
2124 



I 


233 


2 


466 


3 
4 


s? 


5 


ii65 


6 

7 


;l?? 


8 


1864 


9 


2097 



234 

468 

702 

936 

1170 

]4o4 

1638 

1872 

2106 



I 


23l 


2 


462 


3 


693 


4 


924 


5- 


ii55 


6 


i386 


7 


1617 


8 


1848 


9 


2079 



232 

4^ 
928 

]t6o 
1392 
1624 
1856 
2088 



a3o 

46o 
690 
920 
ii5o 
i38o 
1610 
i84o 
2070 



DUr. 4c Mult. 



\ 



LOGARITHBCS OF NUMBERS, 



19 



1000 

oi 
ov 
oJ 
q4 

o5 

06 
07 
oS 
09 

19 10 

1 1 

12 
i3 
t4 

i5 
16 

'7 
18 

T9 

r^ -30 

71 
27 
23 

u 

36 

^7 

58 
^9 

3i 

33 

33 
34 

35 

36 
3? 
3d 
39 

1940 
4i 
47 
43 
44 

45 
46 

4? 

49 
1950 

53 

53 
54 

55 
56 
57 
58 

59 



1 



5 6 7 8 9 



378 7536 

# 9^21 

^79 a ) o5 

4388 



66696896 



* 6900 

3So7 
5784 

• B059 

3&( o334 



2607 -^^M 
4ti79 5ra> 

71507377 
94199646 



7765 
•o5o 
a333 
46i6, 



9«78 
1457 
J735 
fxt\ 1 
H7B7 

o56i 



:^2 [686 
3955 

• 8466 

38307S0 

3oi3 

5274 

7534 
979I 
ao5i 



a84 



J9r5 
41B3 
644B 
871a 
097^ 
3a38 
55oo 
7760 

•OJ 
7'i'j{i 



43o7 
6563 

* 68t7 

3:85 1070 

a3aa 

5573 
78^3 
3860071 
2319 
4565 

68in 

* 9054 
187 T a. " 

35 
5778 

* B0J7 
388oa55 

2493 
473fi 
6963 

* 9196 
38914^8 

366o 
5890 

* dii8 

390 0346 
35^3 
4796 
7022 



0788 
3o6j 
S333 

9873 

ai4i 

4408 
6674 
8939 

[303 

3465 
5726 
7986 



^o?4- 
'" a5o3 



4533 
6788 
9043 
1396 
3547 

5798 
8o46 

3543 
4789 

7034 
9378 
(Sao 
3761 
6oo2 

8341 
047^ 

3716 
4952 
7186 

9^T9 
t65a 
3883 
Sua 
834i 



799^ 
0278 
a 56a 
48.44 
7ja6 



833 a 
o5o6 
2790 
!>ti7a 
7354 



9406 9634 



i6B5 
396V 
ria39 
85r 



1913 
4i9(j 
5467 



4874: 



4759 

7014 

9a68 

i5a 

3773 

6oa3 

8a73 

o5a 

3768 

5ot4 

7359 
95oa 
1745 
3986 
6a a6 

8465 
0703 



lot 6 
3189 
556o 
7831 
*iou 

3368 
4635 
6901 
9t65 
1439 

369 

595a 

8aia 



845<i 
0735 
3o[8 
53ot 
758a 

986a 
ji4o 
4418 
6694 
89C9 

ia43 
35j6 
57S7 
8o5fl 
o3a7 

3595 
4S6a 
71^7 



3917 
6178 
[8438 
047Ojfj6o6 
3728 3953 

4984'5aio 
73391 7465 

9495197 '9 
i 746- 1 97 1 
399814233 

6a48'6473 
849718723 
0746,0970 
3993 3? 17 
5463 

11^1 
9951 
3193 
4434 
fi674 

8913 
it5o 
3387 
56 i a 
7856 

♦089 

3321 

4'352 

6781 

9010 



% 

7483 
9736 
T969 
4a 10 
64 5o 



09117 
3i63 



:n 



2939 J 
51755 

,74t)9; 
9643 '9866 

i875|7t->9H 
4io6 
6335, 
8564 



43^ 

6558 

8787 



29: 



9146 

t 1468 

3689 

5908 

81,37 

393 o344 



oSfto 079a 
3795j3oi8 
5a43 

7467 
9690 



uoar 

7^45 
9468 

1690 
391 1 
6t3o 
8349 



7913 
4i33 
6352 
8570 



o566io788 



ia37 
3463 
5688 



■7913 
♦ i35 



TOl4 

3a 4o 
5466 
7691" 
99T2 

3(34 a35G 
43554577 
6574679*3 
879319014 
ioo9lta3i 



8679 
0963 
3247 
5529 
7810 

♦090 
a3t>8 
4645 
6932 
9*97 

1470 
3743 
60 E 4 
8385 



8907 
% 193 
3475 
5757 
8o38 

o3i7 
3596 
4873 



94 a4 

1*598 
3970 
6343 
aSia 



05540781 



3823 
5o88 
7354 
9618 
[881 

Mil 
64o4 
8663 
0933 
3 179 

5435 
7690 
9944 
3196 
4448 



91 36 
J 430 
37fi3 
5985 
8266 

0545 
3834 
5io 



7149 7377 



3o48 
53(5 

758n 
9^44 
3107 

4369 
663o 
8889 
n48 
34o5 

56Ci 
7916 
*i69 
3422 
4673 

6933 
9172 
i4?o 
3t:rfj6 



965 1 
1935 



p364 
648 
3o3i 
63 13 
8494 

0773 
3o5r 
5328 

76o4' 
9S79 

3 1 53 

4425 



64f>9669l3 
8739 896*3 
1334 



1007 

3375 
554i 
7807 
*07i 
3334 

4595 

856 

91 J 5 

1 373 
3ti3o 



669B 
8947 
1195 
3442 
5G8715912 

7933,81 56 
0399 
a64i 
4883 
7133 

9360 
1598 
3fi54 
6(j/3< 
83o: 



8l4i 
0394 
364? 
4898 

7148 
9397 
i(i44 
3S91 
6i36 



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91 36 
J 374 
36 
5345 
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4775 
7004 
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3686 
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Si 34 

o357 
3578 
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8331 86o5 
f rf3a4 f^48 



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3767 
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8733 

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3:^79 
5556 
7833 

♦ tQ6 

3380 
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3738 
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8360 
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8o33 
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4831 
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934 r 

36?^ 
58866113 



8366 
0630 
3873 
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7373 
96^3 
1669 
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9567 
835 
4082 

6337 
8593 
0845 
3097 
5li8 

759S 
9846 
2094 
4340 
636 1 6585 



3K65 
5 106 
7346 

9584 
1831 

4o57 



39639: 
33 85a< 



3090 
53 5o! 

7570 

9808 
3o45 
428 
65 1 6 



85a6 

0759 
2990 

5321 

745o 
9678 



835Ci|a579 
0579 oBo 

3o33 

5?43 

746 

9679 



2800 

5030 



70|8|734Q 

93359458 
1453II674 



0983 
3ar1 
5444 
7673 
9901 



8839 
ro73 
33 1 4 
5554 
7793 

*o33 
3269 
ao4 
6739 



8749^973 
30 5 



1683 1 905 

3908 4 1 3t . _., 

6 r 33,6355 6^j"8k>8oo 



3436 

789(1 
• ia3 

3137 2.150 

4^.34576 



880 If 9023 
1033^1345 

334.i!3466 



5464 

7f^3 

99^' 



! 89613118 



5686 
7905 
*r33 
3339 



12 3 4 5 6 7 8 9 



J)LC ^ MulU 



[ 


337 


a 


A^A 


3 


68t 


4 


90S 


5 


ii35 


6 


1 363 


7 


\til 


8 


9 


2043 



338 

456 
684 
9ta 
ii4b 
i368 
1596 
1834 
ao5a 



I 


335 


3 


45o 


3 


675 


4 


900 


5 


1135 


6 


i35o 


7 


i575 


8 


1800 


9 


3035 



336 

453 
678 

904 
r j3o 
i356 
J 583 
1806 
3o34 



I 


333 


3 


446 


3 


6()9 


4 


893 


5 


1115 


6 


1338 


7 


i56j 


8 


1784 


9 


2007 



^a4 
448 
67a 
896 

1130 
1 344 

i568 
179a 
ao]6 



I 


33T 


3 


443 


3 


(itSZ 


4 


884 


5 


1 1 c.»5 


6 


i3a6 


7 


i54t 


8 


i7«>a 


9 


i9«9 



aaa 

444 

66*] 

888 

riio 

i333 

1 554 

1776 



DiC at Mull. 



20 



LO0AHITBH8 OF NUMBEBS. 



Non. 

1960 

6i 

63 
64 

65 
66 
67 
68 

69 
1970 

7« 
72 
73 
74 

75 
76 
77 
7« 
79 
1980 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

1990 
9' 

i 
$ 

93 

99 

30 00 

01 

OQ 

o3 

04 

o5 
06 
07 
08 
09 

ao 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

Nom. 



12 3 4 



5 6 7 8 9 



2782 
47764997 



• 9203 
293 i4i5 

3626 
5835 

• 8044 
2940251 

2457 



4662 4883 5io3 5334 5544 
6866 7087 7307 7527 7748 
• 90699289951097309950 
295 1 27 1 
3471 

5671 
7869 
2960067 

2263 

^4458 



6652 

• 8845 
297 1037 

3227 
5417 

7605 

• 9792 
2981979 

4i64 
6348 

• 853 1 
2990713 

2893 
5073 
7252 

3oo 160! 
378 
5955 

• 8128 

3oi o3oo 
a47i 
464i 
68097026 

• 8977 

302 1 1 44 
3309 
5474 
7637 

• 9799 

303 1961 
4121 
6?8o 

• 8438 8653 
3040595 

2751 
4905 
7059 

• 9219 
3(»5 1 363 



7211 
9424 



i636 i857 

4068 
6277 
8485 
0692 
2898 



8043 

023o 

2416 
4601 
6785 



i36o 
3526 
5690 
7853 
♦016 

2177 
4337 
64g6 



0810 



3oo4 
5219 
7433 
9645 



8706 8927 
0913 ii34 
3i 19 3339 



8520 
0726 
2922 
5ii6 

73 10 
9502 
i6o4 
3884 



7091 
9283 
1475 
3665 
585460736292 



8261 
o448 
2634 
48io 
70o3 



874989679185 



204l 

4216 

6390 
8562 



3225 

5440 
7654 
9867 
2078 



8748 
0945 
3i4i 
5336 

7529 
9722 
1913 
4io3 



0951 

3l22 
5291 
7460 
9627 



1 577 
3742 
5906 
8070 
0232 

2393 

4553 

6711 

88699685930 

1026 



33o7 
5552 
77o5 
98^7 
2008 



848o 
0667 
2853 
5o38 
7221 

94o4 
1 585 
3765 
5945 
8123 

o3oo 

2476 
465o 
66076824 
87808997 



1 168 
333o 
55o8 

7677 
9844 

2010 
4175 
6339 
85o2 
0664 

2825 
47694984 



3668 
5883 
8097 
o3o9 
2520 



3890 
6io5 
83i8 
o53o 
2741 



47304951 



6940 
9>47 
1 354 
356o 

5764 
7968 
♦170 
2371 
4571 

6770 
8968 
ii65 
336i 
5555 

7748 
9941 

2l32 
4322 



7160 

9368 
1 575 
3780 

5985 
8188 
0390 
2591 
479» 

^ 

1 385 
358o 

5774 

7968 
♦ 160 
235i 
4541 



3071 
5256 



9622 
i8o3 
3983 
6162 
834o 

o5i7 
2693 



7042 
9l*>4 

1 386 
3556 
5725 
7803 
♦061 

2227 
43o2 
6556 
8718 
0880 

3o4i 
5200 
735o 
9516 
1673 

3828 
5982 
8i35 
0288 
2439 



4iii 



63266547 



853987608982 



0751 
2962 

5172 
738i 
958? < 
1795 
4001 

6205 
8408 
0610 
281 1 
5oii 

7210 
9408 
6o4 
38oo 
5994 
8187 



0379 o5o8 
2570 2780 



65ii673o 

8918 
iio4 
3290 
5474 
74397658 

9840 
2021 
4201 
638o 
8558 



2570 
4760 
6949 

91369355 



1 323 
35o8 
5693 



78768094 



0735 

291 

5o85 



0973 
3i83 

5393 
7602 
9810 
2016 
4221 



64266646 
86298849 



o83i 
3o3i 
523i 



74307650 



9627 
1824 
4019. 
62i3< 



84068626 
0817 
3oo8 
5198 
7386 



7i(i6 



♦o58 
2239 

4419 
6598 
8776 



61591 
8327 
0494 



0953 
3i28 
53o3 
72597476 
943i ^ "^ 

3773 
5942 
8110 
0277 

2443 
4608 
6772 
8935 
1096 

3257 
5416 
7575 
9732 
1888 

4o43 
6198 
835i 
o5o3 
2654 



2660 
4825 
6988 
9i5i 

l3l2 

3473 
5632 

7790 
9948 
2io4 

425o 
64x5 
8566 
0718 

21" 



4333 



II94 

34o5 

56i4 
7823 
♦o3o 
2237 
4442 



1 54 

3757 

591 J 



4554 
6769 



io5i 
325i 
545i 



9847 
2043 
4238 
6433 



9^74 
1760 
3SM5 
613 



:^ 



63 

0494 

3675 

4855 

7o34 



0276 

2457 

4637 

6816 

89949^ 1 1 

1 1 70 T 388 

3346hj63 

55311^5737 

76o3'79J I 

986(^1*083 

182020371 3254 
4ao-|44M 
637'f'^|rj593 
8544 8700 

071 J [0927 



287^ looB 



5o4i 
7204 

9¥ 



5757 

421 

9583 



53^:1745 

36893905 
584Si6o64 
8oc»6 8^23 
63 1 379 
23193535 



4474 
66j8 
8781 
0933 
86913084 



4^90 
6844 
8996 
]i4B 
3299 



12 3 4 



5 6 7 8 9 



DUr. 4c Mah. 



I 


221 


2 


442 


3 


663 


4 


884 


5 


iio5 


6 


1 326 


7 


1 547 


8 


1768 


9 


1989 



a 17 
434 
65 1 
866 
io85 

l302 

t5T9 
1736 

1953 



2l5 

43o 
645 
6G0 
1075 
1290 
i5o5 
1720 
1935 



22a 

444 
666 
888 
mo 
i33a 
i554 
1776 
'998 



2 


:^ 


3 


657 


4 


876 


5 


1095 


6 


i3i4 


7 


1 533 


8 


1752 


9 


1971 



320 

440 
660 
880 

f 100 

)320 

i54o 
1760 
1980 



3t8 

436 
654 
67 a 
109a 

i3oe 

r536 
t744 
1962 



2t5 

43a 
648 
864 
lo&o 
1296 
i5r2 
1728 
1944 



r>ifr. it ^luit. 



LOGARITHMS OF NUMBERS. 



21 



I H B 4 



5 6 7 8 & 



W20 

ai 
aa 
a3 
24 
a5 

26 
27 
28 
29 

30 3o 
3i 
3a 
33 
34 

35 
36 
37 
38 

39 
ao4o 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 
3o5o 
5i 
5a 
53 
54 

55 
56 
57 
58 

59 
ao6o 
6i 
6a 
•63 
64 

65 
66 
Grj 
68 

69 
aoTO 

71 
72 
73 
74 

75 
76 
77 
78 
79 
Nvn. 



305 35i4 
5663 
781a 

3o6aio5 

4a5o 
63o4 

• 8537 
3070680 

a8ao 

4960 

7099 

# 923-7 

3o8 137- 



3729 
5878 
8oa6 
174 
a3ao 

4465 
6609 
875a 
0804 
3o35 

5i74 
73i3 

1 587 



35093733 



5644 

7778 

3o9ao4a 
417a 

63oa 

• 843o 

3 10 0557 

a684 

4809 

6933 

• 

3ii 1178 

33oo 

5430 



5858 
799' 

123 

aa55 
4385 

65i5 
8643 
0770 
3896 
5oai 

7145 
9o56 9269 948 



7539 

3iai774 
38894 



6004 

• 8118 
3i3oa3i 

a343 
4454 
6563 

• 867a 
3i4o78o 

a887 
4992 
7097 

• 9aoi 
3i5i3o3 

34o5 
55o5 
7605 

• 9703 
3161801 

3898 



3170181 

2373 

4365 

6455 

• 8545 



3944 
6093 
8a4i 
o388 
a534 

4670 
68a3 



8966 9180 93< 



1108 
3a49 

5388 

7527 



96649878 



139 

35ia 

563a 

775o 



1801 
3936 

6071 
8ao4 
o337 
a468 
4598 

6727 
8856 
0983 
3109 
5a34 

7358 
I 
i6o3 
3754 
5843 



96579868 



0442 
2554 
4665 
6774 

8883 
0991 
3097 
5ao3 

7307 

9411 
i5i3 
36i5 
5715 
7815 

9913 
aoii 
4107 
6ao3 
8297 

0390 
a483 
4574 
6664 
8754 



4i59 
63o8 
8456 
o6o3 
2749 

48o4 
7037 



aoi5 
4i5o 

6a84 
84i8 
o55o 
a68i 
48ii 

6940 



796a 
♦080 
2197 
43i3 



643766396850 



1985 

101 

6ai6 

833o854i 
o654 
2765 
4876 
6985 



9094 
laoi 
33o8 
54i3 
75i8 

96a I 
T724 
38a5 
5935 
8oa5 

♦ia3 
aaao 

4317 
64ia 
85o6 

0600 
3693 
4783 
6873 
8963 



4374 
65a3 
8671 
0817 
3963 

5io8 
725a 



3aa 
3463 

56oa 

7741 



1195 
33ai 
5446 

7570 
9693 
i8i5 
3936 
6o55 

8174 
0393 
a4o8 
45a4 



8752 
o865 
2976 
5087 
7196 



i4ia 
35i8 
5624 
7728 

983i 
1934 
4o35 
61 35 
8a35 

o333 
243o 
4526 
66a I 
8716 

0809 
3901 
4992 
708a 
917a 



1 536 
3677 
58i6 
7954 
♦09a 
aaa8 
4363 

6498 
863i 
0763 
2894 
5oa4 

71 53 
9281 
i4o8 
3534 
5659 

7783 
9905 
aoa7 
4i48 
6a67 

8386 
o5o4 
a6ao 
4736 



8964 
1076 
3 187 
5298 
7407 



930595 1 5 



i6a3 
3729 
5834 
7939 
♦o4a 
2i44 
4245 
6345 
8444 

o543 
a64o 
4736 
683i 
8935 

1018 
3iio 

5201 

7201 
9380 



45894803 
6737 695a 
8885 
io3a 
3178 



53aa 
7466 
96099833 



9100 

1247 
339a 

5537 
7680 



1750 
3891 

6o3o 
8168 
o3o6 
a44a 
4577 

671 1 
8844 
0976 
3io7 
5a37 

7366 
9494 
i6ai 
3746 
5871 

7995 
♦117 
aa39 



1964 
4io5 

6a44 
838a 
o5i9 
2655 
4790 

6924 
9057 
1 189 
3320 
5450 

7579 

9707 

833 



6084 

8ao7 
o33o 
245 1 



oa5a 
a354 
4455 
6555 
8654 
075a 

a849 
4945 
7o4o 
9134 

iaa7 
33r9 
5410 
75oo 
9589 



5oi8 
7167 
93i5 
461 
3607 

5751 
7805 
♦o37 
3178 
4319 

6458 
85q6 
0703 
2869 
5oo4 

7i38 

9271 
1 40a 
3533 
5663 



7792 

ao46 
39594171 



8810 
0937 
3o43 



4360457a 
64796691 

8598 
0715 
a832 

4947 
7061 

9175 
1287 
3398 
55oo 
7618 



1498 
36io 
5730 
7829 

97269937 



o46a 
3564 
4665 
6765 
8864 

0962 
3o59 
5i55 
7350 
9344 

1437 
3538 
5619 
7700 
9798 



5333 
7383 
95399 
1676 I 
3831 



81098333 



035l 

3392 
4533 

6673 
8810 

0947 
3o83 
5317 

735 
9484 
1616 
3746 



6296 

8419 
o542 
3663 
4784 
6903 

9021 
ii39 
3a55 



8004 

♦ l33 

a258 
4384 
65o8 

863a 



5 1 50^370 
7375 7484 

93869597 



1709 
38a I 
5931 
8o4o 

♦t48 
aa55 
436i 
6466 



i833 ao44 

3940 4i5o 

6045 6355 6466 6676 6887 

8149 8359 ^570 8780 8990 



067a 
3774 
4875 
6975 



1173 
3a69 
5364 



5448 
7597 
9744 
1 891 
4o36 



5966 



6180 



o465 
2606 
4746 

6885 
9oa3 
1160 
3396 
543i 

7564 
9697 
1839 
3959 



58766089 

8317 
0345 
a47i 
4596 
6731 



8844 
07540966 



2875 

4996 

7ii5 

9233 
i35o 
3466 
558i 
7696 

9809 
1921 
4o3a 
6142 
825i 

o358 
2465 

4571 



o883 
2985 
5o85 
7i85 



9074 9284 9494 



i38a 
3478 
5574 



7450:76697878 
9553 976a 



i646 
3738 
58a8 



i855 
3947 
6o37 



79188137 
♦00710316 



3087 
5ao8 

7337 

9445 
1 56a 
3678 
5793 

79«>7 

♦oao 
3i3a 
4a43 
6353 
8461 



4783 



1093 
3195 
5395 
7395 



1 591 
3688 
5784 



9972 

3o64 
4i56 
6346 
8336 
o4a5 



12 3 4 5 6 7 8 9 



Dlff. & Mali. 



2l4 

438 

64a 

856 

1070 

ia84 

1498 

171a 

1936 



ao8 
4i6 
624 
83a 
io4o 
1348 
i456 
i664 
1873 



ai5 

43o 

645 

860 

1075 

1390 

i5o5 

1720 

1935 



I 


aia 


a 


424 


3 


636 


4 


848 


5 


1060 


6 


127a 


7 


1484 


8 


1696 


9 


1908 



2[3 

426 

639 

a^2 

io65 
1:^78 
i49' 
i7tM 
^9J7_ 



I 


aio 


2 


430 


3 


63o 


4 


84o 


5 


io5o 


6 


1360 


7 


1470 


8 


i68o 


9 


1890 



air 
433 
613 
U4 
io55 
1566 
1477 
16BS 
1899 



aoo 

4tS 

637 

836 

io45 

ij54 

1 463 

167a 

1881 



DiC 6l MuIL 



22 



LOGARITHMS OP NUMBERS. 



Num. 

3080 

8i 
8a 
83 
84 

85 
86 

87 
88 
89 

2090 

9« 

9^ 

9^ 
94 

96 

97 
98 

99 

ai 00 
01 
oa 
o3 
04 

o5 
06 
07 
08 
09 

ai 10 
Il- 
ia 
i3 
i4 

i5 
16 

17 
18 

19 
ai ao 
ai 
' aa 
aS 
a4 

a5 
a6 

27 
a8 
a9 

ai So 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 

Nam. 



01234 56789 



318 o633 o84a loSi ia6o 1468 
a7ai 39393138 3347 3556 
4807 5oi6 5aa4 5433 564a 
6893 7101 73io 75i8 7737 

• 89779186939496039811 

3i9 1061 1369 1477 i685 1894 
3i43 3351355937683976 
53345433 5641 58496057 
730575 1 3 7731 79308137 

• 9384 9593 9800 ♦008 03 16 

330 i463 1671 1878 3086 3394 
• 3540 374^39564163 4371 

5617 5834 6o33 634o 6447 
7693 790081078315853a 

• 9707 9974 ♦183 0389 0596 

331 1840 3o48 3355 346a 3669 
3913 4i 30 4337 4534 474a 
5984 6191 639866066813 
8055836384608676 8883 

3aa 01 a4 o33i o536 0745 095a 

3193 a4oo 3607 381 3 3o30 
4a6i 446746744881 5087 
6337 6534 6740 6947 7 1 53 

• 83938509880690139310 
333 0457 0664 0870 1077 1 383 



334 



a53i 

4584 

6645 

870689 

0766097; 



a8a5 
4883 

• 8995< 



335 joi 



3io4 
5x57 



(33o9 

r5363 

73097414 



336i3io 



5407 
7454 

337 i 545 



7675 

• 9716 

338 1757 

3706 
5834 
7873 

• 9909 

339 1944 

3979 
601 a 
8045 
3300077 
aio8 



3737 

4790 
685i 

13 

3 



3o3o 
5o88 
7145 
9301 
1355 



9360 9465 967< 



i5i5 



33593563 



56ii 

7658 

95009705 

1750 

3794 
5837 
7879 
9930 
1961 

4000 
6o38 



8076 837( 



♦ 113 

3i48 

4i83 
6316 
8348 
0380 

33ll 



3934 3i4o 3346 



9118 
1178 

3336 
5394 
735o 
940696 



i46i 

35i4 
5567 
7619 

" 'O 

1719 



3768 
58i6 
7863 

9909 
1954 

6o4i 

8o83 

ia4 

ai65 

4ao4 
6343 
8379 
o3i6 
335i 



5303 
7264 
9334 

384 
344a 

^^?? 

7556 

13 

666 



5772 
78a4 
9875 
1934 

3973 
603 1 
8068 
♦ii4 
3i58 

4303 
6345 
8387 

o338 
3369 

4408 

6446 
8483 
o5i9 
3555 



43864589479a 

6419 

8453 

o483 

35i4 



6633 
8655 
0686 

3717 



5408 
7470 
9530 
1589 

3648 
5705 

7763 

9^7 

187a 



3730 3935 



5978 
8039 
♦080 
3139 

4178 
6336 
8373 
o3i8 
3363 

4407 
645o 
8403 
o533 
3573 

46ia 
665o 
8687 
0733 
3758 



6836 
8858 



3930 



1677 

3764 

585o6oi 

7935 

♦019 

aioa 
4i84 
6365 
8345 



886 
3973 
" >59 
8143 
0337 

33lO 

4393 

6473 
8553 



04340633 



aSoa _ 

45794786 

66556863 

87308937 

0804 



3877 



49495156 

7337 



7030 



9ooo< 
1159 

3337 
53o4 
7360 



3434 
55oi 
7567 
94a 5 9633 
1489 - " 

3553 
56i5 
76767883 
97369943 

300I 



1795 



591 1 
7967 

♦oa3 
ao77 



4383 



8477 
o5a3 
3567 

46ii 
6654 
8606 

0737 
3776 

48i5 
6853 



0936 
3963 

4996 

9061 
1093 
3i33 



3709I3917 

4994 

7070 
9145 

I3l8 



3o84 



1696 



37593965 



5831 



3854 4059 4a65 



6117 
8173 
0338 
3383 



4i3o4336 

6i83 

8334 

0385 

3334 



o4ob 
3539 



4588 



643o6635 



8683 

0737 
3773 

48i5 
6858 



0941 



1396 
3336 



3095 
4181 
6367 
835a 



6476 
856o 



o436o644 



35i8 
4600 
6681 
8761 
0639 



3737 

4808 

6889 

89699176 

1047 

3x35 

5303 



7377 
9353 

i4a6 

3498 

5570 

74347641 



3391 
5363 



9504 
1573 



364o3847 



5707 
7773 
9838 
1903 



6037 
8088 
♦I 
3307 



6333 

8378 
0433 

2488 
4541 



0695 
3744 



8900 9104 9308 95 



1x45 



39803184 



5oT9 
7057 
9ov4 
ii3o 
3x65 

5109 

7333 

9364 9468 967 



»499 
3539 373: 



i353" 



439? 4509 



9711 
779 



5914 
7980 
♦045 

3X08 

4I7I 
6333 
8394 

o354 
34i3 

4471 
6538 
8584 
0639 
3693 



638865936798 
8439864488499055 



0900 



4792 4997 
684o * 
8886 
0933 
3976 

5030 

7063 



7044 

3i8i 

5334 

7367 



5333 

7361 

33693572 



1 349 
3388 

54a7 
7465 
95ox 
1537 



56o6 



54oa 
74367639784 



1703 

" ~\2 



35ia 



6664 
8769 
o853 

3935 
5oi6 

7097 



xa55 

3333 
5400 
7485 

f^ 

3706 

5777 
7848 

9912 
1986 

4o54 

6l3X 

8186 

035l 

33i5 

4377 
6439 
85oo 
o56o 
3619 

4677 
6734 
8789 
0844 
3808 



4746 4951 
" '*7oo3 



iio5 



39493x54 



5303 

7349 

3385 

54a8 

7471 

13 

1553 
359a 



563i 
7668 
9705 
1741 
3775 

5809 

9874 
X905 
3935 



01234 56789 DiflT. 



DUC 



DiCfeMah. 



ao8 



ao7 



906 



ao5 



ao4 



ao3 



4r8 
637 
836 
1045 
1354 
1463 
167a 
1881 

4i6 
634 
83a 
10^0 
1348 
i456 
i664 
187a 
ao7 
4i4 
63 1 
838 
io35 
1 34a 
i44o 
i656 
1863 

ao6 

4ia 

618 

8a4 

xo3o 

1336 

i44a 

i648 

i854 

ao5 

4xo 

6x5 

Sao 

loaS 

ia3o 

1435 

i64o 

1845 

304 

408 

61a 

8x6 

loao 

1334 

i4a8 
i63a 
i836 
ao3 
406 

8ia 
ioi5 
iai8 
T4ai 
i6a4 
1837 



I>iff.*:Mult. 



LOGARITHMS OF IV U It! B £ E S . 



23 



Nvin. 

2140 

.41 
4:r 
43 
M 

45 
46 
47 
48 
49 

21 5o 

5i 
5a 
53 
54 

55 
56 

57 
58 

59 
31 6o 
6i 
6a 
63 
64 

65 
66 
67 
68 

69 

2170 

71 
7a 
73 
74 

75 
76 
77 
78 
79 
2180 
81 
82 
83 
84 

85 
86 

87 
88 
89 

21 90 
91 

93 
94 

$ 

99 

Nvn. 



12 3 4 



5 6 7 8 9 



330 4i38|434 

61676370 

• 81958397 

33i oaaa o4a4 

.2248 2450 



4273 
6297 

• 8320 
332 0343 

2364 

4385 
64o4 

• 8423 
333o44o 

3457 

4473 
6488 

• 85oi 
3a4o5i4 

2526 

4538 
6548 

• 8557 
335o565 

2573 

457< 
658i 

• 8589 
3360593 

2596 

4597 



4475 
65oo 
8523 



o545 0747 0949 



8826 
0844 
2860 



4587 47J 

6606" 

8624 

0642 

2659 

4674 
6689! 
87031 
0716 
2728 

47394940 



674Q 
8758 
7660967 
2974 



c 

2773 



67856986 
87908990 
07930993 
2796 

4797 



3390537 
2536 2725 



45l 
65o2 

• 8488 
3400473 

2458 

444f 
6424 

• 84o5 

341 o386 
2366 

4345 
6323 

• 83oi 

342 0277 

2252 



4544 
6572 
8600 
0627 
2653 

4678 
6702 
8725 



2566 



9028 9230 

io45 

3062 

5o77 

, 7092 , 

8904 9105 9307 



6890 



0917 



6950 
8959 



• 6598 
3370597 

2595 

45o3, 
65891 

• 8584' 
338057907780978 

2572 

4565 
6557 



0797 
2795 

479a 

67I 



2772 
4764 



67566955 
854787468946 



44713 
6700 



0474 
245o 



4747 , , 
6775 697I 
88o3 
o83o 
2855 

4880 
6904 
8927 



2768 



2970 

I 

7010 



29293130 

5i4i 
7i5i 

?:^ 

3175 



499? 



es^p 6798 6998 7198 
"' ''87988998^1989398 



0997 
2995 



878489839183938 



2971 
4963 



07360935 



0672 

2656 

46394838 
66226820 
8604 

o584 0782 
2564 

4543 
6521 



2762 

4741 
671 



l!8 



5i8i 
7186 
9190 
1194 
29963196 



5198 



I 

1197 
3195 

5i( 

7I' 



880790009198 



0980 
2960 

4939 

17 



06720870 
2647 2845 



"77 
31703369 

5i63 
7154 
9145 
ii34 
3i23 

5iii 
7008 
9084 
1069 
3o53 

5o36 
7018 



1235 
3a6i 

5285 



7309751 1 
9332 "-' 



55965798 



7615 
9633 
i65o 
3667 

5682 



i354 
3374 

5394 
74i4 
9432 
1449 
3465 

5480 
7495 
9508 

l52I 

3532 

5543 
7552 
9561 
i569 
3576 

5582 
7587 
9591 
1594 
3597 
5598 

75987798 
95989798 



9534 9736 9938 



1 556 
3577 



6o85 
769678978099 



1596 



5591 

7587 

9582 

576 



556i 
7552 
9543 
i532 
3520 

55o8 
7495 
^81 



1376 
3356 

5334 
73i2 

3240 



3355^ 



3l52 

7181 
9208 941 1 



738475867780 
o4ii 9614 9816 



1437 
3463 

5488 



9614 
i64o 
3666 



7714 



37793981 
6000 



7817 
9835 
i852 
3868 

5883 



9709 
1722 
3733 

5744 
7753 
9762 
1770 
3777 
5782 
7787 
979' 
1795 
3797 

5798 



991 1 
1923 
3934 



1796 



359437943994 



5701 
7786 
9781 

1775 



35693768 

5760 
775 1 
9742 
I73i 



3719391 



5707 
7693 



1664 
34493648 

563i 
7613 



5433 
74i5 
93969594 



i574 
3554 

5532 
75io 



1462 
3437 



3558 



56905892 



1758 



8019 
♦037 
2o54 
40704271 



59456146 6347 



7954 
9963 
1970 
3977 
5983 
7988 

9992 
1995 

3997 



7998 
9998 
1996 



9981 
1974 
3967 

5959 
7950 
9940 
io3o 
~ 18 



5oo6 
7892 



9679 9878 



5730 
7708 
94869684 
1660 
3635 



981 

1843 

3868 



7916 



i960 



6095 
8118 
♦i4i 
2162 
4i83 

6202 
8221 
0239 

2255 



♦ 112 
2124 

4i35 



6286 
83oo 
o3i3 

2325 

4336 



81 55 

i64 

2171 

4178 

6i83 
8188 
♦192 
2195 
4197 



599861986398 



1862 
3846 

5829 6027 
7811" 

9792 
177a 
3752 



80098: 



9990 
3950 

5928 
7oo5 
9882 
1 857 
3832 



8356 
o364 
2372 
4378 

6384 
8389 
0392 
2395 
4397 



988398 
0397 
2396 

934393 



6358 
498348 
390338 
2327 
43i6 



♦079 
2o55 
4029 



1234 56789 



Diff. 



'99 



ms. 



Diff*. 3c Mvlt, 



2o3 
406 
609 
812 
ioi5 
1218 
1421 
1624 
1827 



202 

4o4 

606 

808 

1010 

1212 

i4i4 

1616 

1818 



201 

4o2 

6o3 

804 
ioo5 » 
1206 
i4o7 
1608 
1809 



200 
4oo 
600 
800 
1000 
1200 
i4oo 
1600 
1800 



597 
796 
995 
1194 
1393 
1592 
179' 



198 
396 
594 

792 

.??? 

i386 
1 584 

1782 



197 
394 
591 
788 

1 182 

1 379 
1576 

1773^ 



Diff.AcMoU. 



24 



LOGARITHMS OF NUMBERS. 



Num. 

2300 

oi 

03 

o3 
o4 

o5 
06 
07 
08 

09 
aa 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 
aa ao 
ai 
aa 
a3 
M 

a5 
a6 
27 
aS 
39 

aaSo 
3x 

33 

33 
34 

35 
36 
37 
38 

39 
aa4o 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

aaSo 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

Nam. 



12 3 4 



3434227 



6200 6398 



8173 
3430145 
aii6 

4086 
6o55 
8oa3 

344 1957 
39a3 

5887 
785i 

• 9814 

345 1776 

3737 
5698 
7657 

• 9615 
3461573 

353o 
5486 
744 

347 13^8 

33oo 
5a52 
7202 

• 9i5a 

348 xioi 



6084 62806477 



939595909785998 



3o49 
ff9?6 

• GW7 
349083a 

2775 
4718 
6660 

• 8601 
35o o54i 

2480 
4419 
6356 

• 8293 
35i 02; 

ai63 

6o3i 
7063 

• 9895 



35a 1825 

3755 

5684 

761a 

• 95399732 



353 i465 
3391 
53x6 



72397433 



• 9162 



4424 46aa 
6^ 



64496646 
8417 86i4 
o384 
335o 



87o384o58i 
" " 2547 
9|43i645x2 



8244 
oao7 
ai68 

41294325 



60906385 
80498345 
♦007 
1964 



3921 

5877 
76367831 



1 543 

3495 
5447 

7397 



9347 9542 



1396 
3343 

7x36 
908a 
1036 

2970 
4912 
6854 
8705 
0735 

2674 
46x2 
655o 
8486 



290422 

2357 
4291 
6224 
8i56 
088 



2018 
3o48 
5877 
7805 



x658 
3583 
55o8 



9355 



85 
o5 , 

35X0 



4819 
6792 
8765 



»539 0736 0933 



1738 

3691 

5642 

7592 



2868 
4806 
6743 
8680 
0616 

355o 
4484 
6417 
8349 
0381 

331 X 

4x4i 
6070 
7997 
9924 

i85x 
3776 
5700 
7624 
9^47 



3707 



46774874 



844o8636 

o4o3 

a365 



0303 

3i6o 

4x17 
6073 
8027 



1490 

3438 
5385 
733 1 
93769471 

I330 



1934 

3886 
5837 

7787 
9737 
x685 

3633 
558o 
7536 



i4i5 

3358 
53ox 

7343 



3x64 

5xo6 

7048 

89899x83 

0929x133 



2744 
4678 
6611 
8543 



a4o4 
4334 
6a63 
8190 
♦XX7 

3o43 



3ol6 

^ 3 
2904 



6842 
8810 

0777 
2743 

4709 
6673 



4523 
Bx 
844o 



43x3 
6368 
8333 
♦176 
axa9 

4o8x 
6o3a 
7982 



3838 
5774 
7730 
9665 
1609 

355a 
5495 
7436 
9377 
x3x7 



3o63 

5ooo 

6937 

88749067 

0809 



3356 
5iq4 
7x3x 



ioo3 



3o37 
487X 
6804 
8736 



04740667 



2597 
4537 
6455 
8383 
o3io 

3336 

4161 
6o85 



78168009 
9739I9931 



5 

"33x4 

7187 



915993569554 975 X 



ix3x 
3xox 

5071 



7039 7336 7433 
9304 9401 
1x71 
3x37 

5ioa 

7066 7363 

9039 



49x4 

6873 

8833 

07906986 

2747 

4703 

66596854 

86x3 8808 



4oaa 
5969 
70x5 

9860 
1804 

3747 
5689 



9571 

x5xx 

3449 
5387 
7335 
9361 
1196 

3x3x 
5o64 
6997 



54x1 
7384 



x338 
3398 

5368 



o567 
35x9 

42764471 
63376422 
8x77 8372 

♦ X36o33X 

2075 



3370 
4217 

6x64 



♦o54 



3o4i 
5883 



76307825 



9765 
1705 

3643 
558x 
75x8 



1390 

3334 

5358 

7190 

139 9x^2 

- 'xo53 



3x 

5io5 

7034 

8961 

0888 



27902983 
472o'49X2 
6648;684x 
8576,8768 
05030695 

34383631 
4353145464738 
63786470 
8301 8393 
♦x33o3x6 



x535 



34953692 
5464 



923594 
1x88x3; 
3x49|3345 

53o6 
7265 



076a 
37x5 



8567876: 



8x0983048498 



3837 
5775 
7712 



94549648 



x583 

35x7 
545x 
7383 
93x5 
1246 



763: 



38x3 



7779 



X733 



9334 9420 
i377 
3334 

5290 
7245 

?;s 

3xo5 



60776373 
8019 



5858 
7827 

^ 
1761 

3726 

5691 
7655 
96x8 
x58o 
3541 

55o3 
7461 



3659 2854 

4606 48ox 
6553 



6747 



0443 
a387 

43304534 
6466 
84o7 
o347 

3386 



970X 
i633 

356a 
5491 
7410 
9346 
1373 

3x98 
5x33 
7047 
8070 
0893 



01234 56789 



Diff. 



Diir.4cMiilC 



»97 



196 



195 



194 



193 



198 
396 

594 
792 

x386 
x584 

X782 

197 
394 

7S 
ix8a 

IS 

1773 
196 



784 

H76 

1 37a 

i568 
1764 

780 
975 

XI7O 

i365 
i56o 

1755 



58a 
776 
970 
1x64 
i358 
i55a 
1746 



579 
77a 
965 
11S8 
i35i 
i544 
1737 

3M 
576 
768 
960 
iiSa 
i344 
i536 
I7»8 



piff. DiCdtMnk. 



I*OG A a ITB Jlf S OF NUItJiSV^B* 



25 



3370 

71 
7a 
73 
74 

75 
76 
77 
78 

79 
3280 
81 
83 
83 



85 
86 

87 
88 
89 

3390 
91 

98 
99 
33 00 
01 
03 
o3 
04 

o5 
06 

07 
08 

09 

33 10 

II 

13 

i3 

14 

i5 
f6 

17 
18 

»9 

Nam. 



3541084 
3oo6 

68467037! 



• 8764 
3550683 

643i 

• 8345 



356 03! 
2171 
4o83 

5994 
7905 

• 9814 

357 1733 
363o 
5537 
7443 

358 i353 
3i56 



590450 
3363 

4374 
6i85 



93489539 
1353 144S 
3i56 3347 
5o59 5349 



g? 



394437 



• 8' 
363 0476 0664 
3358 
42 

61 30 

3641756 
3634 



55io 
7386 



137711469 
31983390 
5ii8,53io 



Niun. 12 3 4 

2260 

61 
63 
63 
64 

65 
66 
67 
68 

69 



5 6 7 8 9 



. . 1723. 

895691 



0874 
3791 
4707 

6633 



1066 

3983 

4898 

68i3 



85368738 
o64i 



3554 

4466 

6376 

80968287 

♦oo5 
i3 

31 
5738 

7634 



01960387 
3io4 
4oi3 
5918 

7834 



7i5i 

9052 
oo53 

2652 
4750 

6648 



9739 

i634 

3537 

5440 

734 

9342 

1 142 

3o4i 

4o4o 

6837 



85448734 



o44o 
2336 



o63o 

2525 



6961 

• 8862 
3590762 

3663 
456o 
6458 

• 8355 
36oo35i 

3i46 

% 4o4i 

5934 

7837 

36i 1610 
35oo 
5390 5579 

73787467. 

• 916693559544 
363 io53 ' "- 



433o44i 



6133 
8016 



97199908 

171 



1343 
3i38 
5oi3 



8' 
01 
3546 



8187 
♦066 
1944 
3831 

5698 

7573 



• 936094489635 



365 1 1 34! 1 333 
3oo7i3i95 



39 74 
4893. 



o833 
3745 
4657 
6568 
8478 



2295 
4302 
6109 
8oi5 



63k 
8205 



7086 



152 

3734 
461 5 



63086496 



8375 
0254 

32 

40094 

5885 

7761 



i5o9 
3382 



i853 
3774 
5694 
7613 
9531 

1449 
3366 
5281 
7196 
89199111 



1661 
3582 
55o2 

7431 

140 

1357 
3i74 
5090 
70o5 



9020 
1824 

3727 
563o 
753 

9432 
i332 
323i 
5i3o 

7037 

8024 
0820 
2715 



65o2 

8395 
0286 

2177 
4067 



7845 
9733 
1619 
35o5 
5390 

7375 



8563 
o44a 

3330 

197 
6073 
7048 
9823 
16961 
35693 



1024 
2936 
4848 
6750 
8668 

0578 
2486 
4393 
63oo 
8205 

♦no 

30l4 

3oi8 
5820 

7733 

9623 

1 533 

3431 

5319 
7317 

9II3 
1009 
3904 

4798 
6691 

8584 
0475 
3366 
4356 
59566145 

8o34 



3694 
5579 
7463 
9346 
1229 
3iii 
4992 



io4i 
2923 
4804 

66846872 



8751 
o63o 
25o7 
4384 

6260 

8i36 

♦010 

884 

3757 



2045 
3. 



7805 



2439I3621 

435o!4543 

6078 6270I6462 

7997 8189 838i 

9723 9915 ^107 0299 

i64i 
3557 
5473 
7388 
9302 



I3l5 

3i37 
5o39 
6956 

88r 



5990509341 



0768 
2677 
4584 
6490 
8396 

o3oi 

3305 

4io8 



6010 6200 6391 



7913 



93o3 94< 



i833 
3749 
5664 
7570 
9493 

i4o6 
33i9 
533o 
7i4i 



7771 
9685 



1598 
35io 
5431 
7333 



0491 
3395 
4398 



8102 

♦003 
1903 

38oi 



9723 
i6o5 
3487 
5368 

7248 
9127 
ioo5 
2883 



6635 
85ii 
o385 

2258 

3944 4i3i 



30342316 
3940 4 1 32 ^^.^ 
565660486239 

7062 

9«7r 



1789 
3701 
56i2 
7523 
9432 



1080 
3893 
58o3 

7714 
9623 

1 532 
3440 
5347 
7353 
9i58 

0873 1063 

37763966 

46794869 

6581" 

8482 



o382 
2282 
4181 
6078 



79768165 



8962 
0854 
2744 
4634 
6523 

84ii 

0298 

2i85 

4071 

59566144 

78408028 



93x5 
1 193 
3070 
47594947 



6823 
8698 
0572 
2446 
43i8 



3407 
4324 
6339 
8i54 
176*067 



6771 
8673 

0573 
3473 
4370 
6368 



9872 
1767 
3662 
5555 
7448 



8780 
o676< 
2562 
4448 
6332 

8216 



99" 

1794 
3675 
5556 

743676347813 



5744 



95o3 
i38i 
3358 
5i35 



♦061 
io57 
385i 
5745 
7638 



8077 
o865 
2751 
4636 
6521 



5333 



7010 7198 
8885 "^ 
0760 
3633 
45o5 



01234 56789 



DiflT. 



Difr.4cMalt. 



193 



191 



190 



189 



188 



384 
576 

960 

Il53 

,344 
i536 
1738 



11; 

573 
764 
955 
ii46 
i337 
1 538 
1719 



38o 

570 

760 

950 

ii4o 

i33o 

1 530 

1710 



37? 
567 
756 
945 
ii34 
1 333 

l5l3 

1 701 



188 
376 

564 
753 
940 

II38 

i3i6 
i5o4 
1693 



DifT. 



I 
3 

3 
4 
5 
6 

7 
8 

9 

Difll^Molt 



26 



LOGARITHMS OF NUMBERS. 



Nttin. 

33S0 

ai 

32 

a3 

14 

35 

36 

37 
38 

39 

33 3o 
3i 

33 

33 

34 

35 

36 

37 
38 

39 
a3 4o 
4i 
4a 
43 
44 

45 
46 

47 
48 

49 

33 5o 

5[ 

53 

53 
54 

55 
56 

57 
58 

59 
33 60 
61 
63 
63 
64 

65 
66 

67 
68 

69 

3370 

71 
73 

73 
74 

75 
76 
77 
78 
79 
■ Nam. 



36fl|488o 

6751 

• 8633 

3660493 



0679 
3548 



433o44i646o3 
63846471 
81 5u 8337 
♦0160203 
1881 3068 




7385 747a 
9334 
1 195 

3o55 
4914 
6773 
863i 



• 9147 
366 1009 

• 3869 
4726. 
6587 

• 8445 
369o3o3 

3159 
4oi4 



586o< 

7733 



7908 

• 9576976 

3701438 
3380 
5i3[ 
6981 

• 883o 



371 0679 
3536 
4373 
6319 
8o65 

373 i75: 
3596 
5438 
7379 



• 9130 
3730960 

3709 
4637- 
6475 

83ii 

374 0147 
1983 
3817 
565i 

7483 

• 9316 

375 1147 
3077 
4807 

6636 

• 8464 

376 0393 
3119 
3944 



1 



3746 



3933 

76^^ 
9530 
i38i 

334t 
5ioo 



o488|o674o859 

3715 

4571 



3344 
4300 



605463406435 



809483798464 



9947 



i6i4 
3465 
53i6 
7166 
9015 

o863 
371 1 



9900^004 
1753 1937 



, 7 
3780 

5633 

7464 



ii44 
3983 
4831 
6658 

84q5 
o33i 
3166 
4000 
5834 

7667 



3i6o 
4990 
6819 
8647 
0475 
23oi 
4137 



2 

3^ 



3 4 



5 6 7 8 9 



3735 3933 



66! 
85348710 



03890676 



3354 

4ri8 
3 

9706 
i567 

3437 
5386 
7145 
9003 



353o 
4385 



55oi 
735i 
9300 

io48 
3896 



45584743 
64o46588 
83498434 

0378 

3133 

3q64 
58o6 
7<>48 



93049488 




33 

'35 
5686 
7536 
9385 

1333 
3o8o 
4937 
6773 
86id 

o463 
33o6 



^\ 



i5i 
335o 
5i8o 
7036 

8863 
0698 
3533 
4367 



i338 
3167 
5oo5 
6843 

867? 
o5i5 
235o 
41 84 
60176; 

7850 8o33 
96829865 
""1696 
3536 
5356 

7i85 
9013 



5i3 
3343 
5173 

7003 
883o 



a484 
43io 



0657 0840 



3666 
4493 



.'44i 

43o5 
6166 
Solo 

?S5 

36i3 
5472 
733o 



1045 

3901 

4756 
6611 



o3i7 
3169 

4030 

5871 

7731 

9570 

i4i8 
3365 

5ll3 

6057 

8do3 

0647 

3490 



41494333 



6175 
8016 



96739856 



1696 
3534 
5373 

7310 

9046 
0883 

2716 
455i 
6384 

8316 
♦o48 

1879 
3709 
5539 

7368 
9195 

I033 

2849 
4675 



58i6}6oo3l6i 

7687 



78741 
9557 9744 95>3i 
1437 1614 1801 

348a 



1437 
3396 

5i63 
7o3i 
8807 
0703 
3637 

4491 
6354 

8317 
♦078 
1939 

37< 
56^ 
75i6 
9374 

I33o 

3o86 
4943 
6796 
865o 
o5o2 



65406737 

^ "8589 
o45o 
sill 



840385898775 

'364 o45o o636 

2497 

4357 
6o3o63i5 



o: 

2135 

3985 
5844 

7702 

3373 

5i37 
6981 
8835 
0688 



3354 
4306 



8384 



8300 

♦o4o 
1879 
3718 
5556 
7393 
933094 



033l 

3063 

3893 

5733 



I3o5 

3o32 
4857 



3669 

535o5S^7 



7217 
9083 



4&77 4864 5o5o 5336 
6913 



3 

4391 
6o56634i 
79068091 
9754 

i6o3 
345o 
5396 
7142 
8987 

o83i 

3674 
4517 



1787 
3635 
5481 
7327 
9171 
ioi5 

3J 
470 



635965436737691 



0334 

3o63 
3903 
5740 
7577 



io65 
3900 
4734 
6567 

84oo8583 



^377|6564 
8348 8435 
♦ii8o3o5 



'987 



74o4 



38564043 
5734 5910 



7591 



9370 9457 



ii35 
3ooo 



3i86 3373 



4171 



7888 
9745 
1603 

3458 
53i3 

7167 
9030 
0873 



54o 2725 
4576 
6436 

8375 

♦134 



333 



7777 
9643 
i5o8 



8074 

9931 

1787 

3643 

5498 

7353 

9305 9391 

io58 

3910 

4761 

6611 

846ol8645 

03090494 



1073 3i57 
38194004 
5666 585o 
751 1 7696 
9356 9540 9735 



1300 i384 

3o43 

4885 



8593o43 



8568 
0408 

3247 

4086 



II 

8753 

0593 
243 1 



0776 

2615 

42704453 



5934 6107 6291 



i3 

1249 
3o83 
4917 
67506934 



7761 
9597 

14^2 

3267 
5ioi 



7944 



8766 
o4i4'o598 
324513438 
407514358 
59o5j6o88 

755o 7733 7916 
9378 9561 19744 
" i388;i57i 
3214J3397 
5o4o|5333 



078 
3611 

4441 



8099 
9926 

1753 

357? 

54o5 



3174 



3343 



585o6o3l 



7880 



1569 
3337 34i3 



5o7o5354 



81 38 



9780,9964 
1616 
345o 
5384 

7117 



3634 
5467 
73oo 

89499133 



0964 
2794 

4634 



63706453 
8383 



3763 
5587 



01234 56789 



DiC 



187 



186 



i85 



184 



i83 



Ditr. 



DilTAcBlKriU 



188 
376 

564 

752 

1 138 
i3i6 
i5o4 
169a 



187 
374 
56i 
748 
935 

1133 

i3o9 
i4qo 



i8d 

37a 
558 
744 

]ii6 
i3oa 
i488 
1674 



i85 

370 

555 

746 

935 

1110 

1395 

1480 

i665 



i84 

368 

553 

736 

930 

iio4 

1388 

1472 

i656 



i83 
366 

549 

733 

1098 
1 381 
1464 
1647 



mtr, tcMnh. 



LOGARITHMS OF NUMBERS. 



27 



2380 

8i 
8a 
83 
84 

85 
86 

87 
88 
89 

2890 
9' 

21 

99 

34 00 

01 

oa 

o3 
04 

o5 
06 

07 
08 

09 
94 10 
II 
la 
i3 
14 

i5 
16 

17 
18 

'9 
24 ao 
ai 
aa 
a3 
a4 

a5 
a6 
27 
a8 
29 
34 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

Nm. 



12 3 4 



63176490 
8i4i 83a3 



5 

668a 

85o68688 

o3a9o5ii 



6 7 8 9 



Dim Di£&:Mn]u 



376 5770j595a6i35 

7594 7776 7959 
• 94189600978a 
3771240 
3o63 



4884 

670468867068 
8888 
0707 
aSaS 



• 85a4 

3780343 

ai6i 



8706 
oSaS 
a343 

4i6i 
5977 
7793 
9608 
i4a3 

3a37 
5o49 
66806862 



761a 

• 9427 

379 1 241 

3o55 



• 849a 
38oo3o2 

ana 
39aa 



8673 



q484o665 

3293 
4ioa 
II 
7718 



5730591 
7538 

• 93459525 

38i ii5i 

a956 
■ 4761 

6565 

8368 

3820170 
197a 

3773 
5573 
7373 

• 9171 
3830969 

3767 
4563 



63596538 



81 54 

• 9948 

384i74[ 

3534 

53a6 



7117 




4990 

6773 

* 8555 

3870337 

aii8 



i4a3 
3a45 

5o66 



4342 

61 59 634 1 
8i56 



i6o4 

3418 
5a3i 
7043 
8854 



9035 
o846 

a474 3655 

4a83 4464 

6272 



609a 
7899 
9706 

i5ia 
33i7 
5iaa 



i33i 
3i37 
4941 
6745 69a6 



8548873989099089 



o35i 
ai5a 
3953 
5-753 
7553 

9351 
ii4q 
2940 
4743 



8333 
♦127 
1921 
3713 
55o5 

720 

, 07 
0877 
2666 
4454 

6241 
8028 



963698149993 



1.600 
3384 

5i68 

695 

8733 

o5i5 

2296 



i6o5 
3427 

5248 



8i4i 
9965 
1787 
3609 

543o 
7350 



9070 9252 



0889 
2707 



45244706 



7975 J 
97909971 



1786 

54ia 

7334 74b5 
9316 
1037 

3836 

4645 

6453 

80808361 



io56 
a845 
4633 

6430 
8307 



1778 
3563 

5346 



8913 
0693 
3474 



83a: 

♦i47 

1969 

3791 

56i3 
7433 



6522 

8338 
♦i53 
1967 

3780 
5593 



9887 
1693 
3498 
53oa 
71067286 



o53i 
233a 
4i33 
5933 

7733 

953t 

3ia6 
493a 
6718 

85i3 
0807 
aioo 
3893 
5684 

74767655 
936694459634 



071 1 
a5ia 
43i3 
6ii3 
791a 

971 1 
i5o9 
33o6 
5ioa 
6897 

8693 
0486 
3379 
4073 



1235 
3o23 
48i3 

sM 

♦171 
1957 
3741 

55a5 



71397308 



9090 
0871 

3653 



1071 

3889 



♦067 

1873 
3678 

5483 



0891 
3693 
4493 
6393 
809a 

1^ 

3485 
5a8i 

7077 

8871 
o665 
3459 
435 1 
5864 6043 

7834 



i4r3 
3aoa 
4990 

6778 
8564 
o35o 
ai35 
3919 

5703 
7486 
9368 
1049 
383o 



3l52 
3973 



2334 
4i55 



5794 5976 6; 



7614 
9434 

1352 
3070 

4887 
6704 

85i 

o33^ 

3i48 

3963 

5774 
7586 

9397 
1308 

3oi7 
4836 
6634 
844i 
0348 

3o54 
385< 
566: 

7467 



98701 



o5i6 
333o 



1071 
3873 
4673 
6473 
8373 

♦070 
1868 
3665 
5461 
7356 

9o5i 
0845 
3638 
443o 
63aa 

8oi3 
9803 
159a 
338i 
5169 

6956 
8743 
o5a8 
33i4 
4098 

588i 
7664 



1338 

3oo8 



7047 
8871 



06940876 



35i6 
4338 



i58 

77967978 
96169798 



1434 
325a 



1616 
3434 

5a5i 

7067 
8883 



06970879 



35ll 

4334 

59566137 

- 7948 



4i43 
5956 

7767 
9578 
1389 



45o6 
63i8 
8i3o 
957897599940 
1750 



5oo7 
68i5 
86a a 



1570 

3370 
5i88 

8^3 



o4a8 0609 0790 0970 



3334 

4039 
5843 

7647 



341 5 
4330 



6034 6304 6384 



7837 



9369 945o 9630 98 



ia5a 
3o53 
4853 
6653 
8452 

oaSo 
3o48 
3844 
564o 



1034 
3817 



7i35 
8921 
0707 
249a 



6060 
7842 



9446 9624 9803 



i4o6 
3i86 



2698 
4520 

634o 
8160 

9979 
1798 
36i6 

543a 
7349 



90649345 
1060 



8007 
10 



i43a 
3233 
5o33 
6833 
8632 

o43o 

3237 
4024 

58ao 



7436 761 5 

9a3o 9410 
iao3 
3906 



460947894968 
64oi 

8193 
9963 

1771 
356o 
5348 



658o 

8371 

161 

1950 



3739 391 
5537 



0886 
3670 



43764455 



6338 
80a I 



1 584 
3364 



7339 
9053 



741 a 
9335 
io58 
3880 
4703 

6533 

8343 
♦161 
1980 

3797 

56i4 
743o 



3693 



356o 
5368 

7176 
8983 



3874 
4687 

6499 
83ii 
♦lai 
1931 

3741 
5549 
7357 
9164 



2595 
4400 



1613 
S4i3 

*2l3 

701 3 
88i3 

0610 
3407 
4204 



7795 



958( 
i38; 
3176 



855o 
o34o 
3139 
18 
5^5 

7492 



73i4 
9100 9379 



1064 
3849 
4633 



8109 
9981 
1763 
3542 



2776 
458o 



8188 
9990 
1792 
3593 
5393 
7193 
8992 

0700 
2567 
4383 



60006179 



7974 



i562 
3355 

5i47 
67596938 

8729 
o5i9 
23o8 
4096 
5884 



7671 
9457 
ia43 
3o37 
48ii 



64166595 



8377 

159 

1940 

3730 



i8a 



181 



180 



179 



01234 56789 



178 
Dim 



i83 
366 

549 
733 
915 
1008 
1 381 
i464 
1647 



183 

364 

546 

738 

910 

1093 

1374 

i456 

i638 



181 

363 

543 

734 

905 

1086 

1367 

1448 

1639 



180 
36o 
540 
730 

1080 
ia6o 
i44o 
i6ao 



170 

358 

537 

716 

895 

1074 

1353 

1433 

161 1 



178 
356 
534 
713 

loS 
1346 
i434 
1603 



DUCAcMnlt. 



LOGAEITHMS OF NUMBERS. 



Nmn. 



1 _2 

4354443a 



3 4 



5 6 7 8 

478849665144532a 
666767456923 



9 



Di£ 



DifT.AclfaU. 



r 3898 4076 

- '5856 
7634 
941a 
1190 



5678 
7457 

• 9235 
388ioia 

2780 
4565 
634o 
81 r4 

• 9888 

3891661 
3433 
53u5 
6975 

• 8746 

3ooo5i5 

2284 

4o52 
5819 

7585 

• 9351 
391 1116 

2880 
4644 
6407 



2966 
474a 
65i7 
8392 
♦065 

i838 



7i53 
89a3 

069a 
2460 
4aa8 
5905 
776! 

95a8 
1393 
3o57 
48ao 
6583 



81698345 
♦ 107 
1868 
36a8 
5387 

7145 



aoi5 
36io 3787 
538a "- 



733o 
9100 

o869iX)46 



2637 
44o5 
617a 

79^9 



97049881 

"• i646 

3410 

5173 

6936 

8698 
0459 



2417 
4172 

5928 
768a 
9435 
1188 
2940 

12 

6443 
8193 

'2 



343o 
5i86 
6932 
8678 
•249 0423 



8718 
0467 
aai5 

3963 
5710 
7456 
9303 
0947 

3691 
4435 
6177 
7920 
9661 

i4oa 
3i4a 
4881 
66ao 
8358 

Norn. "01234 



6312 

1 545 

33a I 
5097 

687a 
8646 
o4ao 

ai93 
3965 



55595736 



7507 
93769453 



38r4 
458a 
6349 
8ii5 



1460 
3233 

8533 

0383 
3o44 
38o3 
5563 

7331 

2592 
4348 

6io3 
7857 
9611 
1 364 
3ii6 

4867 
6618 
8368 
♦117 
1866 

36i3 
536i 
7107 
8853 
0596 

234a 
4086 



7571 
93i3 

io54 
3704 
4533 
6373 
8010 



4610 

8168 

9946 
1733 

^ 

7o5o 
8834 
0597 

3370 
4143 
5913 
7684 



8o33 



1539 
3391 

5o43 



8543 
0393 
3o4o 

3788 

5535 
728a 
9037 
0773 

35i7 
4360 



58396003 



7745 
9487 

1338 
3968 
4707 

6446 
8184 



[333 



8393 

♦057 
1833 

3586 
5349 

7113 

8874 
o635 
3336 3396 
39794155 

5739 

7407 
9355 

IOI3 
3768 
4534 



5914 
7673 

943o 
1 187 
3044 
4699 
63786454 



8308 



97869961 



1714 
3466 

5317 



67936968 



8346 

♦ 133 

1900 

3677 
545a 
7337 
9001 
0774 

3547 



43194496 
60906307 



7861 



96309807 

1576 
3344 



4935 
6703 



0334 

It 



5536 5702 



7388 



9o5o 9a a6 940a 



081 1 

3573 
433i 



0987 
3748 
4507 



609062666443 



7849 
960D 
i363 
3119 
4875 

66a. 

838; 

i37 



8534 
o3oi 
2078 

3854 
563o 
74o4 
9178 
0953 

3734 



8701 
0479 

3356 

4o33 
58o7 
7583 



8o38 



5lI3 

687Q 
8645 

o4io 
3175 



93569533 
1129 i3o6 

3903 

4673 
6444 
83i5 
9984 

1753 
3531 
5a8o 
7o55 
88ai 

0587 
335i 



39394115 



7464 



ii63 
3934 
4683 



o3i3 



18893064 

3641'^'^ ' 

5393 
7143 
8893 
0643 
3390 

4i38 
5885 
763i 
9376955 

I13I 

3865 

4609478314958 

6353 

8094 

9835 

1576 
33i6 
5o55 
6794 
853i 



5878 
7641 



68o5 
85598734 



8300 
9958 
i7i4 
3470 
5a36 

6980 



7101 
88799057 



o657 
3433 

4309 
5985 

7759 



95789755 



1339 
3ioo 
4859 



♦I 33 
1890 
3646 
5401 

7i56 



0487 
3340 34x5 




1750 1 
34903 
5339 54o3 t 
6967 7i4i: 
870588799053 



178 



5i5 
3376 
5o35 



66186794 
8376855a 



ao66 
3831 
5577 
733i 
9085 
o838 
3590 
4343 

6093 
7843 

95f 
1 341 
3089 

4837 
6583 
8339 
074 
1819 

33893563 

- ~ 53o6 

7049 

8790 

o53i 

3373 
4oix 
5750 
7489 
9330 



177 



175 



5 6 7 8 9 



174 



DUE 



178 
356 
534 
712 
890 
1068 
ia46 
i4a4 
1 60a 



177 

354 

53i 

708 

885 

1 06a 

1339 

i4io 

1593 



176 

353 

538 

704 

880 

io56 

i23a 

i4o8 

i584 



I 


175 


a 


35o 


3 


535 


4 


700 


5 


875 


6 


io5o 


7 


1325 


8 


i4oo 


9 


1575 



174 

348 

523 

870 
1044 
I3l8 

lis 

I30O 



I 

a 
3 
4 
5 
6 

7 
8 

9 

Dtir.*:MoU. 



LOGARITHMS OF NUMBERS. 



29 



012 34 56789 



35O0 

oi 

o3 
o4 

o5 
o6 
07 
08 
• 09 

35 10 
II 

13 

i3 
i4 

i5 
16 

17 
18 

»9 

35 30 

31 
33 
33 
24 

35 
36 

37 
28 
29 

35 3o 
3i 

33 

33 
34 

35 
36 

37 
38 

39 
3540 
4i 
42 
43 
M 

45 
46 

47 
48 

49 

35 5o 
5i 

53 

53 
54 

55 
56 
57 
58 

59 



• o4oo 
3981137 

3873 
4608 
6343 

8077 

• 9811 
3991543 

3375 
5007 

6737 

• 8467 
4000196 

1935 
3653 

538o 
7106 

• 8833 
4oi 0557 

3383 

4oo5 
5738 
745i 

• 9173 
4020894 

3614 
4333 
6o53 
7771 

• 9488 

4o3 i3o5 
3931 
4637 
6353 



3786 
45o5 
6334 
7942 
9660 



6878 7o4< 



8584 
4o6o3J 

] 



54o3 

7io5 

• 8807 

4o7o5o8 

3309 



7307 



4o8 0703 0873 



95749748 



835i 
9984 
1717 
3448 
5i8o 

6010 
864o 
o369 
3098 
3835 



8424 
♦i57 
1890 

3633 

5353 



435o4532 
60736245 
77957967 
9517 "" 



3958 
4677 
6396 
8ii4 
9833 



85o8 

03l8 

1936 
3634 
5343 



890460 



5573 
7275 
8977 
0678 
3379 

4070 

5778 
7477 



• 90059175934595 



?r4 

33^3567 

5i39 

6864 



5898 
7634 7797 
935095 
1075 
3799397 



9689986 



1338 i4io 



3i3o 
4840 
6568 
8286 8458 
♦0030175 



68667038 
8o66|8337 8409 858o 8753 

9780 ( 

4041492 

33o5 

4qi6 5087 5258 5429 56oi 
6037 

8337 
4o5oo47 
1755 
3464: 
5171 



♦ 133 

1 835 
3376 3547 



679869697140 



3335 



3869 4039 4209 



1042 



73567429 



1720 
3436 
5i52 



3368 3439 



5913 
7615 
9317 
1018 
549 3719 

4249 
5q48 
7647 



1893 
36o8 
5323 



0369 
3oo5 

3741 
5476 

7310 

8044 
0677 
2409 
4i4i 
5873 

7603 

1061 

2789 
45i6 

6343 

7< 



1793353 
4088 
5833 
7557 
9391 
1024 
2756 
4487 
6318 



1420 
3i44 

4867 



0442 
3 

9 

7384 

9117 
o85o 
2583 
43i4 
6045 

7775 
iq5o5 
^^234 

3962 

4689 

64i66588 
8142 

98^ 
1593 
33i6 



5o39 

"3 

8484 

0305 

936 



6590676: 
8313^" 
♦o33 
1754 

3474 
5193 
6912 
863o 
o347 



3063 

377< 
549< 
7300 
8933 

o636 
2349 
4061 

5772 
7482 

9193 
0901 
2610 
4317 
6o35 

773i 
9437 

Il42 

3846 



45504721 



6353 
7056 
9658 
1359 



8i56 
9854 
i55i 



06160790 
3536 



71 
9678 

i4o6 
3i34 
4863 



83 14 
♦o4o 
1764 
3488 



5313 

6934 

8656 
o377 
3098 



3646 38i8 



5365 
7083 
8801 
o5i9 

2235 

3951 
5666 
738 



0807 
2520 
4332 
5943 
7653 

9363 
1072 
3780 
4488 
6195 

7003 
9607 

l3l3 

3ox7 



6424 
8126 
9828 
1529 



402t 

663[ 
8336 
♦034 
1731 



1197 
6391 

8l3I 

9851 
x579 
33o7 
5o35 



67616934 
84878660 
o385 
3109 
3833 



5537 
7255 
8973 
0690 

2407 

4l22 

5838 
7552 



0212 
1937 
366 

5384 
7106 
8828 
0549 
3370 

3990 



9094 9266 9437 



2691 

44o3 
6114 
7834 



1343 
1951 
4659 
6366 

8073 
9778 
i483 
3187 
4891 

6594 
8396 



3o59 3339 3399 3569 3739 



67. 
8496 
0194 
1891 



4361 
5906 

773 1 

94649637 



1370 

3l03 

4834 
6564 

8394 
♦023 
1752 
3480 
5207 



5556 
7279 
9000 
0721 
2442 

4163 
57695881 



7427 
9145 
0862 

3578 
4294 
6000 

772J 



ii5o 
3862 
4574 
6285 
7995 



9534 97o5 



i4i4 

3l22 

483o 



7599 
9317 
io34 

2750 
4465 
6180 
7895 
9608 

l32I 

3o33 
4745 
6456 
8166 

9876 

585 

3293 

5ooo 



6537 6707 

84i3 
♦ 119 
1824 
3528 
523i 

6934 
8637 
o338 
2039 



5439 

7137 
8836 
o533 

223o 



1234 56789 



Diir. 



Diff.&MnlL 



173 



173 



171 



170 



Diflr. 



174 

348 

533 

870 
1044 
1218 



173 
346 
519 

io38 
1211 
1 384 
1557 



173 
344 
5i6 
688 
860 
io33 

I304 

1376 

1 548 



171 
342 
5i3 
684 
855 
1036 
1197 
i368 
1539 



170 
340 
5io 
680 
85o 

I030 

i36o 
i53o 



169 

338 

5o7 

676 

845 

ioi4 

ii83 

1 353 

l531 



Diir.4tM«k. 



ao 



LOGARITHMS OF NUMBERS. 






Nttm. 

3560 

6i 
6i 
63 

64 

65 
66 
67 
6» 

69 

2570 

71 
7a 

73 
74 

75 
76 
77 
78 
79 
a5 8o 
81 
8a 
83 
84 

85 
86 

87 
88 
89 

2590 
9« 

98 
99 
a6oo 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 
3610 
II 
12 
i3 
i4 

i5 

16 

17 
18 

19 

Nttn. 



408 a4oo 
4096 



4a6l 
5791 5961 
74867656 



► 7825 
• 9180 9350 9519 



409 0874 



0874 

2567 
4259 
5950 
7641 

• 9331 

4lO 1031 

2710 
43o8 
6o85 

7772 

• 9459 
4" ii44 

2821 
45i 

6107 
7880 

• 9562 
4ia 1244 

2925 

46o5 
6285 
7964 

• 9^43 
4i3 i32i 

635o 
8025 

• 9700 

4i4 1374 
3o47 

4719 
6391 
8o63 

• 9733 
41 5 i4o4 

3073 
4742 
64io 

8077 

• 9744 
4i6 i4io 

3076 
4741 

64o5 
8069 

• 9732 
417 1394 

3o56 

4717 
6377 
8o37 

4i8i3?5 



1043 
9736 
44a8 
6119 
7810 

950096699838 



1190 
2878 
4567 
6254 

7941 
9627 
i3i3 



265 



1359 
3o47 
4735 
6423 

8110 

3i66 
485o 



6365 



973i 

i4T2 
3093 

4773 

6453 
8i32 

98 
1488 

3i65 
4842 
65i8 
8193 
9867 

54i 
3214 

4887 



n 



II 

77 
3242 
4907 

6571 
8235 

3222 

4883 
6543 
8203 
9862 

l52I 



2 3 JL_ 

3078 

4774 



273( 



443! 



E54604 



6 1 3063006469 



1 382 
3o74 
4766 
6458 
8i48 



4904 
6592 



82788447 
♦i33 
1818 
35o3 
5187 



i65o 
3334 
5019 

6534 6702 

" 8385 

♦067 

1748 



8217 



I 
3261 

4941 
6621 
83oo 

^^ 

3333 

668! 
836o 
♦o35 

1708 
338i 
5o54 



67896957 
84688636 



6559 6726 
" " 8397 



823o 

9901 
1570 
3240 

i^ 

8244841 1 



♦068 
1737 
3407 
5075 



8369 
♦028 
1687 



8164 
9858 

i55i 
3243 
4g35 
6627 
83i7 

♦007 
696 



1 527 
32163365 



5073 
6760 



6870 
8553 
0235 

i?>7 
3429 3597 



5109 



♦i46 
1824 



o3i4 
1991 



35oi 

5i77 
6853 
8528 



3549 

5221 

3 
8 



0235 
1904 
3574 
5242 
6743 6910 

8577 
0244 
1910 
3575 
5240 

6904 
8568 

023l 

1893 
3554 

52i5 



♦077 
1743 
3409 
5o74 

6738 
84oi 
♦064 
1726 
3388 

5o49 
6709 6875 



8535 
0194 
i853 



5277 



3668 
5345 
7020 
8695 
0369 

18762043 



3716 
5388 
7060 
8731 

o4o2 
2071 

3741 
5409 
7077 
8744 

o4ii 
2077 
3742 
5407 
7071 
8734 
0397 
2039 
3720 

538i 
7041 
8701 
o36o 
2018 



6 

3417 
5ii3 
6808 
85o3 
0196 

1889 
3582 
5274 
67966965 
84868655 

01760345 
i865 ' 
3554 
5242 



2o34 
3723 
5410 
69297098 



8616I 
o3oi 
1087 
3671 
5355 



8784 

0470 

2i55 

384o4oo8 

5524 



70397207 
8721 "^ 



o4o3 
2o85 
3765 

5445 
7125 
8804 
0482 



0571 

2253 

3933 

56i3 

7393 
8071 
o64< 



2210 
3883 
5556 

7227 
8898 

0569 

2238 

3oo7 
5576 



0577 
2243 
3908 
5573 

7287 



2225 

3886 

5547 
7207 
8867 
0536 
2 184 



7 

3587 
5283 
6078 
8672 
o366 

2059 
3751 
5443 
7i34 
8824 

o5i4 

2203 
3891 
557? 
7266 



8 9 



►53 
39 

2324 

4008 
5692 

7375 



88909058 



0740 
2421 
4ioi 

5781 
7461 



91399307 



21592827 

3836 
55i2 
7188 
8863 
0537 



^490817 



4oo4 
568o 
7355 
9o3o 
0704 



2378 
4o5i 
5723 
7394 
9065 

0736 
24o5 
4074 
5743 



72447410 



0729 
2891 
4o53 

5713 
7373 
9033 
0692 
235o 



3757 
5452 

7147 
884i 
o535 

2228 
3920 
56i2 
73o3 



8993916a 



o683 
2372 



4060 4229 



5748 
7435 

9121 
390807 



2492 

4177 
58606029 

7544771a 



9226 
0908 
2589 



4269 4437 



59491 



76297796 
9475 



2495 

4171 
5847 
7523 

9'97 

0872 

2545 
4218 
5890 
756i 
9282 

0908 
2572 
4Ui 
5009 

7377 



9077 
0744 
2410 
4075 
5739 
74o3 
90679288 



25i6 



7817 
9011 
0704 

2807 
4089 
5781 
747a 



o853 
254i 



5917 
7604 

9290 
0976 
2661 
4345 



9394 
1076 

2757 



61 17 



0985 
2662 

483o 
6oi5 
7690 
9365 
1089 

2712 
4385 



7729 



1070 
2780 
4408 



7744 

9244 941 

1077 
2743 
4408 



091 1 

2576 
4241 

5906 6072 6289 



7736 

9399 
1002 

2724 



7570 
9288 
0895 
2557 
42194885 

58796045 

75397705 

9365 

1028 

a68i 



ii53 
2880 

45o7 
6i8a 
7858 
9582 
1206 

2880 
455a 



6o57 6224 



7896 



98999566 



1287 
2906 

4575 



60766248 



791 1 

9577 
1244 

'^4 



700a 
9565 
1228 
2890 
455i 

621 1 

7871 
9531 
1 189 
2847 



12 3 4 



5 6 7 8 9 



Dilt 



169 



168 



167 



166 



Diff. 



DiCibMah. 



170 

84o 

5io 

680 

85o 

1020 

1190 

i860 

i58o 



507 
676 
845 
1014 
1188 
i352 
i5af 



1 
a 


168 
336 


8 


5o4 


4 


67a 


5 


84o 


6 


1008 


7 


1176 


8 


1344 


9 


l5l3 



167 

834 
5oi 
668 
835 
1002 

i83^ 
i5o3 



x66 
382 



I 
a 
3 
4' 
5 
6 
7 
8 

2. 

Dili: 4t Halt. 



880 

X102 
i8a8 
1494 



%i 



LOGARITHMS OF NUMBERS. 



12 3 4 



IMflr.^tMah. 




I 


i6o 


3 


3ao 


3 


^ 


4 


64o 


5 


8oo 


6 


96a 


7 


II30 


8 


laSo 


9 


i44o 







3iS 

477 

636 

795 

9^4 

iii3 

127a 

i43i 



12 3 4 



5 6 7 8 9 



Difll^tKoh. 



LOGARITHMS OF NUSCBSBS. 



45 
46 

48 

49 

2750 

5i 

53 

53 
54 

55 
56 

57 
58 

59 
2760 
61 
62 
63 
64 

65 
66 

67 
68 

69 

2770 

71 
72 

73 
74 

75 
76 
77 
78 
79 
2780 
81 
82 
83 
84 

85 
86 

87 
88 

fi9 

2790 
9» 

98 

99 

ir«iB. 



76647823 
9407 



54a3 5582 574o 
700571637322 
• 858787458903906] 
43901G70325 
1747 1905 



3327 
4906 
6484 
8062 



3485 
5o64 
664a 
8220 



• 9639 9797 9955 ♦112 



i374 
2950 
4525 



61006258 



7674783279898147 
924894069563 



4i23 
5695 



ii36 
2708 
4280 
5852 



9720 
1293 
2866 
4438 
6009 

7580 
91 5o 
0710 
2288 
33863543 3700 3857 



7108 7265 7423 
86798836 



6198 
7754 
9310 
44607090865 



3999 4i58 



o483 
2o63 

3643 

5222 
6800 
8378 



i53i 
3ro7 
4683 



2786 
435i 
5915 



4440448060407600917 



5288 
6848 



2419 

3974 
552' 



1689 
3265 
484o 
64i5 



5ixi 

6679 

8246 

9812 

378 

2943 

4507 



74797635 
9198 



37273883 



5444 
7004 



6353 
7910 



946596; 



7390 

8943 

9 oi84 0339 0494 



70807235 
'" 8788 



8i4o 
9724 
i3o8 
2891 
4474 



i847 
3422 

6572 



5268 
6835 
84o2 



^ 



607262286384 



2478 
4o4o 



8408856487208^76 
02790435 

3??i 
5io8 



i837 
3395 
4952 



6500 6665 

8o65 822x 

9776 

i33i 

2886 

942844440 
5838 5oo3 



77917948 
93549511 



1073 
2635 
4196 



56005756 
7160 73i6 



^ 



82< 

9863 
i466 



3o5o32o8 



4632 



62146373653 



7796 7( 



7954 
9535 
iu5 
2695 



9377 
0957 
2537 

4i 16 4274 443; 



5695 

7273 
885] 



0428 o58l 



743i 



2004 
358o 
5i55 



67306887 
83o4846i 



9878 
i45o 
3o23 



♦o35oi 
1608 
3i8o 
4752 



3494 3652 

5o665223 

632364866637 6794 



7737 
9307 
0876 
2445 
4oi4 
5582 
7i4g 
8716) 
0282 
1847 
3412 

8104 



837681 

1487 
3o4i 



7701 
9253 
o8o5 



845786158773 



nmm. 0123456789 

tr4o 

4i 
42 
43 
44 



4377506 

• 9090 

4380675 

2258 

384i 



♦o4i 
1625 



479> 



o358 

iq4i 

3525 

49495107 



3366 



8112 

96939851 

" i43i 

3oix 



5853 601 



2162 
3738 
53i3 



d2 
II 
758o 
9160 
0743 

2319 
3895 
5470 
7045 



861987768933 



0192 
1765 
3337 
^9?9 



7894 
9464 
io33 
2602 



8o5i 
9621 
1 190 

2759 



4171 4327 



5738 

73067^ 
8872 
0438 
2004 



3569 
5i33 
6607 
8260 



96679823 



1229 

2791 

4352 

5912 

7472 

9032 

05906746 

2149 

3706 

5264 

6820 



6976 
8532 
♦087 
1642 
3197 



459547504906 



7856 
9408 
0960 



925394089563 



66896847 
82708428 



1273 
2853 



4590 
6169 

7747 ' , 
93249482 
io58 



0901 

2477 
4o53 
5628 
7202 



03490507 



8208 

9778 
i347 



4484 



58q5 
7462 

r 

2r 



3725 



i385 
2047 
45o8 
6068 
7628 

91889343 



23o5 
3862 
5419 



0902 
2460 
4018 
5575 

7i32 
8687 
0243 
1798 
3352 



61486304645966146769 



8011 
9563 
iii5 



♦009 
1589 
3169 

4748 
6326 
7904 



1922 



2916 3073 



6o5a 

761 

9i8i 

0751 

23i7 



84178573 
9979 

i54i 
3io3 
4664 
6224 
7784 



5o6i 



8932 
o5i6 
2100 
3683 
5265 



2635 
4210 
5785 
736o 



2080 



8365 



4641 



97770 

159342 

0908 

2473 

4o38 



3882 

54465602 

7010 



7166 

. 8729 

i36|o292 

i854 
34i5 
4976 
6536 
8096 

9655 
1214 
2772 



10! 

2616 

41744320 



5886 

7443 

2II 



5216 



81678322 
97199874 

T270 1425 



1 



3 4 5 6 7 8 9 



Dur. 



i58 



i57 



i56 



Diir. 



Di£itMaH. 



X 

2 


3i2 


3 


477 


4 


636 


5 
6 


^ 


I 


iiii 


1272 


9 


i43i 



i58 
3i6 
474 
63a 
790 
948 
1106 
1264 

X422 



i57 
3x4 
471 
628 
785 
942 

;^ 

x4i3 



x56 

3X2 

468 
624 
780 
936 
X092 
1248 
i4o4 



J 55 
3io 
465 
620 
775 
930 
io85 

X24o 

'395 



DiCkltail. 



94 



LOQAHITHMS OF NUMBBKSr 



Nan. 

3800 

oi 
oa 
o3 
o4 

o5 

06 

07 
C16 

3810 
II 
12 
i3 

j4 

i5 
16 
17 
18 

'9 

2820 

21 

32 
33 
94 

35 
36 
37 
98 
39 

38 3o 
3i 

33 

33 
34 

35 
36 

37 
38 

39 
3840 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 
38 5o 
5i 
5a 
53 
54 

55 
■^56 

57 
58 

59 



1 2 

,447 1 580(1735 



3 4 



5 6 7 8 9 



"5356 
3906406] 
5456 561 



36662821 
42164371 



2076 

4^6 
6076 



Dur. 



DiCibMall. 



3i3i 
468i 
623i 



891 
3386^3441 
4836 4w 
63866541 



7780 7905 8090 8245 8400 



• 932( 

4480877 

3434 

3971 

55i7 

7o63 
8608 
4490153 
1697 
334i 



99^83 
io3i 
3575 
4126. 
5672 



5827 

7218737: 
8763891 
o3o8 " 
i852 
33953550 



47844938 



6327 



• 94ro 
4500951 

3491 
4o3i 



648i 
8023 
9564 
iio5 

2645 
4i85 



55705724 



7109 

• 8647 

45] oi85 
1732 
3258 



7263 74i6 7570 
8801 " " 



6320 



o338 
1875 
3412 
4948 



7864 

45309J2 
2466 
3998 

553i 
7062 
8593 
45301I4 
i654 

3i83 
471a 
6241 
7769 
• 9296 

4540823 
234< 
387i 
5400 
6924 



84498601 



• 9972 

455T495 

3oi8 

4540 



7582 

• 9102 

4560622 

2142 



2953 3i07 

4493.^47 

6o32 6186 

7724 

895491089362 



0492 
2029 
3565 
5ioi 



296483663667906943 



8018 
9552 
1086 
2619 
4i52 



0975 

25o2 



5552 

7077 



1 

♦ 125 

i647 



5i46 
6696 



963897939948 



ii86i34i 
27343888 
42804435 



8171 



970598I 



1239 

2772 



5837 
7369' 



5684 

72i5 

8746 

02770430 

1807 

3336 



i960 



3480 
5oi8 



8074 
9^499601 



128 
2654 



402741804332 



1952 
3t7o 3322 3474 
4693 4844 4996 

6061 6213 6365 65x7 6670 



07740926 
"2445 



20462201 
35916 3751 
53oi 
685i 



5981 



9072 



1495 
3o43 
4550 
61 36 



75277681 



9226 



06160771 
2i6o^23i5 
37043858 

52475401 
67896943 



833i 
9872 
i4i3 



o646 
2i83 
37I< 



52S55408 



8325 847d 



859 
139S 



2^3079 



43o5445846ix 



59906] 
7522 7< 



8900 9053 9206 



o583 

2Il3 

3642 
5171 



4865 5o 

6394654666996853 

7921'* 



8227 
9754 

1 281 
2807 



57o5l5857 
7229 738a 

8753 
0277 
1800 
22 
4844 



7734788680388190 

9254 9406 9558 9710 

" i23o 



1078 
597 



8485 
♦026 
■567 



•01 3 

i546 



143 

7675 



0736 
2266 

3795 
5324 



838a 
9907 
1433 

6010 

7534 

89069058 
04290581 



2104 
3627 
5i48 



2749 



7006 



8554 8709 8864 9019 9174 



♦iodo258o4 
1660 
319B 
4744 



3352 

48905054 
6290 6445 r- 



7836 
9381 
0925 



2624 
167 

5555! 5710 

7252 



,8793 
0180 o334 
1875 



172] 



5261 

4801 

634o< 

7878 

9416957097239877 



0953 
2490 



4026 41804333 



5562 

7097 



0166 o3i 
185: 



3232 

4765 



7828 
0889 



39484 



5477 
70o5 
8532 
♦059 

i586 

3lI2 

4637 
6162 
7687 
9210 

0734 

2257 



6822 

8342 

9862 

1 382 
2901 



7161 



12 

1805I1960 
35o7 



660067546909 



9535 



10801234 



34i5 
4954 



3569 
5io8 
6647 
8186 



1107 
2644 



5715 58696022 6176 



725o 



4918 



7981 

95i2 

1042 

24192572 



0212 

1739 
3264 



7839 



0886 



37793931 
53oo5453 

6974 



♦oi4 
1 534 
3o53 



5766592 



73i5 



74707605 



05670723 



8145 
9690 



83998454 
9844 



2778 
4321 



586460186173 

740675607714 
9256 



9102 
04890643 
2029 2i83 23< 



5a62 
6801 



8339 84q3 
0877 «oii 



1261 

^797 



7404 



8632|8785 8938 9092 9345 
047206260779 
2006 



3385353936^ 



5071 



62976450660367566909 
-^ ~ " 8i34 



966596 



1 195 
3735 



lOI 

5629 

7i58 
86858838 



5782 



o365 
1891 
3417 



47904943 



63i 5 6467 6620 677: 



799' 



93639615 



io38 



2409 256 1 
" " 4o83 



56o5 
7126 



0166 
1686 
32o5 



5 2 



211 

3663 
5308 



%m 



1. 

2932 



4475 463o 



3723 3877 



5416 
6955 



568 

3to4 
4i87 464o 



i4i4 
2951 



755777" 



2159231 



9971 
i5oi 



18 
1348 
28783030 

425444074559 



7310 7463 



2044 
3570 
5095 



8144 



966898: 



1 191 

2713 
4235 
5757 



7278 743o 
8494864687988950 



o3i8 
i838 
3357 



i55 



269 
38 16 
5363 



3087 



i54 



3845 
52^45377 



82878440 



j53 



59356088 



7616 
9143 



170670 



2196 
3722 

5347 



8296 



20 
i343 
2865 
4388 
5909 



0470 
3?S 



01234 56789 



1 52 



Dio: 



I 
2 
3 
4 
5 
6 

7 
8 

9 



DHr.^tMvh. 



LOGARITHMS OF NUMBERS. 



Nuk 

3860 

6i 

6a 
63 
64 

65 
66 

67 
68 

69 

2870 

71 

72 

73 
14 

75 
76 
77 
78 
79 
2880 
81 
82 
83 
84 
85 



89 

2890 

9« 

$ 

98 
99 
2900 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 
2910 
II 
12 
i3 
14 

i5 
16 
17 
18 

«9 



12 8 

456 366o 38i 213964 4i 16 4268 



5 6 7 8 9 



5179 
6696 
S2i3 



533o 
6848 
8365 



• 97309882 



4571346 
2762 
4277 
5791 
73o5 



• 88198970 

458o332 '- 

i844 

3356 

4868 



o483 

IS 

5019 5176 53: 



6378 



653o668i 



459 



788980408x9 
955oi ^01 
1210 

2718 



2417 

3925 
5433 
6940 



1069 
2567 

4076422643774528 



8446859787488898 
9953 - - 



460 1458 
2963 
4468 
597261 

7475 ' 



7090 
8597 
♦io3 

1609 
3ii4 
46i8 
22 
7626 



46io48i 
1983 
3484 



4985 5i35 



79868x36 

4620984 
2482 



3980 4i3o 
54775627 



«974 
. 8470 
• 9966 

463i46i 



3956 3xo6 



5944 

7437 



63866535 

7875 



465o853 
234i 



x398 
29x3 
4428 



5943609462466397 



7457 



7608 

9122 
o634 
2147 



5583 5734 



7241 
8748 
o254|o4o4 



o63i 
2x33 
3634 



ii34 

2632 



7124 
8620 
♦116 

1611 



6093 
7587 



5482 
7000 
85x7 
♦o33 

1549 
3o65 



5634 
7x52 
8669 
01^ 

1701 
32x6 



458o473i 



07860937 

22982449 

3659 38x<^ 3961 

5472 

6983 



6832 

83428493 

♦002 

5x1 

>20 



985i 
i36i 

2869130: 



1759 

3264 



47694919 
6273 642l( 



7776 



8978 9129 9I79 9429 9579 



0781 

2283 

3785 

5285 



64866636678669367086 



82858435 
9485963597859935 



X284 

2782 



4279 442< 

5777 



7273 
8770 89i< 



0265 



X760 

3255 

445o 4600 4749 

62436392 



• 89309079922893789527 

464 0422 o57x 0720 0870 

1914 206322x2 236x 

34053554 3703 3852 

4895504551945343 



80248173 

936495139662 

X002 xx5i 

2490I2639 



5786 
73o3 
8820 
0337 

i853 
3368 
4883 



7760 
9273 



5885 
7392 



6o36 
7542 



9102060 
34x5-"" 



3565 
5070 

6573 



79268077 



i2(^ 
0932 
2433 
3935 

5435 



1433 
2932 



o4z! 



19x0 
3404 



77367885 



66846833 



8322 

9811 
1209 

2787 



79" 

9424 



1082 
2584 
4o85 
5585 



8585 
♦o85 
1 583 
3o8i 

4579 



4429 4575 
59266070 



7423 7573 



l^ 



6564 

2059 
3554 
5o48 
654i 
8o34 



10x9 
25xo 
4ooi 
5492 
6981 
8471 



9?^ 
x448 

2936 



4420 



593860896241 



7455 
8972 



04880640 
aoo4 



2x56 
35x9 367X 



5o34 



654967006851 
8062 8214 8365 



957697279878 



X088 
2600 
4112 
5623 

71347285 
8644 



X239 
275a 
4263 
5774 5925 6076J62: 



ox53o3o4o455 

i66a 

3171 



4679 
6x86 
7693 
9200 



63376488 6638 



0705 o856 



2211 

37x6 
5220 
6724 
8227 



8735 



1733 
323x 



5197 



X168 



4i56 
564i 

7i3o 
8620 
♦X09 
i507 
3o85 



4571 



47234875 



7607 
9x24 



5x86 



7758 
9275 
0791 

23o7 
38aa 
5337 



♦02( 

i542 

3o54 

44144565 



87^^58946 



1964 
3472 



i8i3 

3322 



74367587 
0606 

21X5 



483o 



4980 5i3i 



7844 
935© 



236i 
3866 
5370 
6874 
8377 



7994 
9501 
X007 

25X2 

40x7 

5521 
7024 



2662 
4167 
5671 

. . 7175 
8528 8678 



973o 9880 ♦oSo 



x382 



1232 
2734 
4235 

5736 

7236 7386 



8885 



oa34 o384 



i883 
338i 



4729 4878 
62266375 
7872 



7722 
92x8 
07x46863 



936895 



22092358 
3703 3853 



5347 
684o 
8333 



967698259974 



i3i7 



26592808 



4299 



7279 
8760 
0258 
1746 
3234 



6393 
79x0 
9427 
0943 

2459 
3974 

85x6 



139X 
2903 



3623 



8145 
965i 
1157 



x532 



0x80 
x683 
3x84 
4685 
5886|6o366i86 



28843034 
43854535 



7536 
9035 
o534 
ao33 
353x 

5028 
6525 
8022 

iox3 



25o8 
4oo2 

5496 
6989 

8482 



i466 
3958 
4448 



57905939 



5027 
6545 
8062 
9578 
1095 

a6io 
4i25 
564o 
7154 
8668 

90x81 



1693 
32o5 

4717 

27 

7738 



7686 
9x85 
0684 
2x83 
368o 

5x78 
6675 
8171 

96^98 
1 162 



2657 
4i52 
5645 
7x39 
863x 

♦124 
161 5 
3i07 
45o7 
6068 



0757 
2266 

3774 

5282 
6780 
8296 
9802 
x3o8 

28x3 
4317 

5822 

7325 
8828 

o33i 
i833 
3334 
4835 
6336 

7836 
9335 
o834 
a332 
383o 

5328 

66756824 

8321 

I3X2 



2807 
43oi 
5705 
7288 
8781 



0273 
X765 
3256 
4746 
6237 



7428 7577 7726 
89x890679215 
o4o6o555o7o4 
18952043 2192 
33S2l353xl368o 



35 



Die Diff.lt Mob. 



l5l 



i5o 



149 



"i3r 

3o4 

456 

608 

760 

9x2 

X064 

12x6 

i368 



i5i 

302 

453 
604 

755 

906 

io57 
1208 
1359 



i5o 
3oo 
45o 
600 

75o 

io5o 
1200 
i35o 



2( 

447 
596 

745 

894 
1043 
Z192 
i34i 



i48 

296 

444 

592 

740 

888 

io36 

1x84 

1 332 



01234 56789 



Diff. 



Diff.ltMnIt. 



86 



LOGARITHMS OF NUMBERS. 



Mm. 

3930 

ai 

39 

a3 
a4 

25 

a6 

a? 
38 

39 

3930 
3i 

33 

33 
34 

35 

36 

37 
38 
39 

3940 
4i 
42 
43 
44 

45 
45 

47 
48 

49 

39 5o 

5i 

53 

53 
54 

55 
56 

57 
58 

59 
3960 
61 
63 
63 
64 

65 
66 

68 

69 

3970 

71 
7a 
73 
74 

75 
76 
77 
78 
79 
Nttni. 



12 3 4 



i05l83< 

53i 
680a 
8288 
• 9774 

4661259 
2743 
4227 
571 1 
7194 



867688348973 



4670158 
i64o 

3l2I 

4601 

6081 
756i 

468^ 
1996 



o3o6o455 
1788 19: 
326934 
47494897 

6229 1 

770878568004 
9187 9335 9483 9631 



3473 
4950 

"'17 
►3 



0666 
2144 

3621 
5098 



6427 6574 6722 



700. 

• 9^71 



4690853 
3337 
38oi 
5275 



8o5o8i98i 
[7895269673982 



1000 
2475 



67486895 
8367 



8220 

4701164 
3634 



4io5 4352 



5575 

7044 

85i3 

• 9982 

471 i45o 

2917 



585i 

7317 
• 8782 

473 0347 
1711 
3175 



6103 

7564 

• 9027 
473o488 

3410 

4870 
6329 

7788 

• 9247 
4740705 



4i 
56i3 



[0I977 
6 5464 

6951 

8437 

9922 

i4o7 
289a 

43764524 
58596007 
734a ' 



858! 
♦071 

1 556 
3o4o 



1704 
3i88 
4672 
6i5663a4 

749076397767 



i3ii 
2782 



5722 

71 



0393 
858 

3322 



46394785 



6248 
77" 



264175 
5762 
7248 
8734 



02190368 



9121 
o6o3 
2084 
3565 
5o45 

6525 



164064 
93 554k 
6870 7017 



95399986 



♦129 
1596 

3o64 
453i 

89299075 



aoo4 
3468 
4932 
6395 

7857 



917393199465961 



o634 0780 
2241 
3702 

5162 
6621 



0997 



193076 



166163 
7632 
9101 
0569 
2037 

35o4 
4971 
6437 
7Qo3 
9368 

o54o 06860833 



ai5t 
36i5 
5078 
654i 
8oo3 



0926 

2387 
3848 

53o8 

6767 
80808226 
9539968498: 



1 142 



1853 
3337 
4821 



2207 
3761 
5224 



8149 
"11 
1073 
2533 
3994 
5454 



6913 
8372 

;3o 
1388 



5 6 

4573472' 
60596208 
75457694 



903 1 
o5i6 



a 149 
3634 
5ii7 
64526601 
8o83 



2001 
3485 
4969 



54895637 



7935 

9417 9565 
1047 
238o 2528 
386i4oo94 
5341 

6821 
83oo 

9779 
1257 
2735 

4212 
5689 
7i65 
864o 
♦116 

i5oo 
3o64 
4538 
601 1 
7484 



9927 
i4o5 
2882 



436o45o7 



5836 
7312 
8788 
0363 

1738 

3212 

468! 



763i 

89569103 
0428 " " 

3376 



615963066453 



7779 
9248 
0716 
2i83 

365i 
5ii7 
6584 



951 

0979 
2444 
3oo7 
5371 
6833 

83961 

9757 < 
1219 
2679 
4i4o 

56oo 
7o5o 
85i8 
9976 
1434 



9180 



o665o8i3 




8935 
o4ii 

i885 
3359 
4833 



0575 
2o46 
3517 



8992046 



48404987 



233o 

3707 
5264 



1 126 
2590 
4o54 
55i7 



8442 

3 

IJ65 

2825 



5746 
72o5 
8664 
♦122 
i58o 



7 8 
48705018 
6356 65o5 



9 



7842 



93289477 



0962 
2446 



2298 
3782 
5266 5414 



3o3o4o79 

" 5562 

7045 

8528 

♦010 
1492 
2973 
4453 
5933 

74i3 
8596^87448892 



3o3o3i78 



5984 



4655 
61 3i 



74607607 



9083 
o558 

2o33 
35o7 
4980 



7778 

925 

0722 
2193 
3664 
5i34 



6310645766046750 



8073 
9541 
1009 

2477 

3944 
541 1 



67306877 



1272 
2736 
4900 
5663 



69807126 



8588 
♦o5o 
i5ii 
2972 



42864432 



1725 



7991 



0370 
i848 
3326 

48o3 
6279 

7755 
9231 
0706 

2180 
3654 
5i27 
6600 



234o 
38ii 
5281 



8342 
98089954 



8219 
9688 
ii56 
2624 

4091 
5557 
7023 
8489 



1419 
2883 
4346 



0196 
i657 
3ii8 
4578 

6o37 



58oi 

735i 7497 
88098955 
0268 o4i3 



187 1 



5167 
6653 
8i4o 
9625 
mo 

2595 



79268073 

,545 

1016 
2487 
3958 
5438 



9835 
i3o3 
2770 

4237 
5704 
7170 
8635 

♦ lOl 

1 565 
3029 
4493 



58095^56 

7272 

8734 



7418 

8880 
o342 
i8o3 
3264 
4724 

6i83 
7642 
9101 
0559 
2017 



01234 56789 



DiC 



DimttUah, 



148 



i47 



447 

596 

745 

894 

1043 

1192 

i34i 



i48 

296 

444 

592 

740 

888 

io36 

ii84 

1332 



i47 
394 
441 
588 

735 
883 

I030 
1 170 

i333 



i46 

438 
584 
73o 
876 

I033 

1x68 
i3i4 



Diff. 



DiCibMalt. 



LOGARITHMS OP IflTMBBRS. 



87 



Nam. 

81 
82 
83 
84 

85 
86 

87 



3990 

98 

99 
3ooo 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 

5oio 

II 

13 

i3 

i4 

i5 
16 

17 
18 

«9 

30 20 

ax 

93 
23 
24 

35 
36 

57 

38 

3o3o 
3i 

33 

33 
34 

35 
36 
37 
38 

39 



01234 56789 



474ai63 33o8|3454|36od 
3630 37653c 



335F 
44o4 
5950 



3474 
493i 
6387 
7843 



DiA 



Diir.it Malt 



5076 

6533 667816834 

79688134837984: 



• 9443 
475 o8<^ 

33^3 

38o6 



53595404 



6857 7003 7148 7293 



6713 

8164 83o9|8455 8600 87^5 
• 9616 9761 9906 ♦o5i 0196 
476 1067 I3I3 i357 i5o3 1648 
35i8 3663 3808 3953 3098 



8 5563 5708 5853 

7157 73o3 



83i6 8461 86068751 



97659909*054 



477 I3i3 i357 i5o3 1647 
366o|38o5 3949 3094 
4541 

5987 



4107 
5553 



5843 
699917144728874337578 

8589873488789033 



5665 
7108 7353 



855o 
•79?3?i 



479 



4800069 
i5o7 
3945 
438i 
58i8 

7254 
8689 



7393 



i587 



3oi8 3i6i 



4448 



2498 
3951 



3643 

4007 
555o 



4i 13 4358 



4353 



♦03401 



3oi7 



8775891 



7397 
8833 



4591 



58786031 

7307 7450I7593 7736 



7447 

8896 

01990344 



1731 



3873 

43134457 4601 47454889 

5753'- - ' " -^^ 

7193 

863i 



o357 o5oi 

1795 

3233 

4669 
6io5 



340368041 
1703 184 
3i36 33791343 

443645704713 4856 5ooo 
5859 6oo3 6146 6389 6433 



74357578 



8734 8867 9010 91 54 
015603990443 '"' 



17301873 



i334 
3788 
4343 
5695 



♦035 

i48o 
3o34 
4387 
584o 



44034548 
5998 



6i33 



o333o468 
1768 

331 1 



9136 
i5|o38o|o434 o568 



7733 



33o43447 
47344877 
6164 63o7 



913 
3356 



46554799 
60986343 
75407684 



7865 

, 9297 
o585o738 

3016 



3891 
4348 
58o5 



7360 7406 751 
87168861 



01 71 
1635 



3o79 
4533 



o3i< 

1771 

3235 

4678 



2207 

366i 

4833 4969 5ii4 

59866131 63766431 656; 

7438 7583 7739 7874 8019 
8890 9035 9180 9336 9471 



o343 
1793 
3343 



0487 
1938 
3388 



469348384983 



61436388 



7593 7737 



9041 



0489063307780933 



308l 

3528 

483o4975 
63766431 
7733 7867 

9167 9313 

0757 

330I 



061 3 
3056 

35oo 
4943 



7913 
9350 



0788 

33363 

3663 
5ioo 



7972 



8008 



0871 

3303 
3733 

5i63 
6593 
8o3i 



3i83 



6 0462 0607 0753 
1916 306l 
3370 35i5 



o633 
2083 
3533 



643365786733 



7883 



91859330947! 



51195364 
6566 6710 6851 



8oif 



94569601 

0901 

3345 



36453789 



5o88 



63866531 

78397973 

9371 

0713 

3153 



94i5 
o856 



2297 

3737 
5i77 



oo33 
3J70 
38o7 
5343 



81 15 

9550 

0985 

34 

381 



34191 

53: 



657667196862 



8i5'i 



101 5 



3328 
4785 
6341 
7697 
9i53 



0777 
3338 
3678 

5i38 
657I 

803' 



3336 

3673 



8i5683oo 
9745 



5333 



8II7 



1000 

2441 

388i 

5321 

6473)66176761 

8o56 8200 8343 
949496389783 



1076 
35i3 



6536667968336967 



9407955096949837998 
0843 "" -* 
3376 
3710 

5x43 



II38 

3563 



538654395573 



9440 9583 9736 9869 ^0x3 



ii58 



3589 



3876 4019 4163 



5449 
67356878 



2373 
3823 

5273 



3371 
38i8 



8x7X 
9630 
1068 

35x5 
3963 



4078 
5531 



667568196963 



8361 



955997039847 



2585 



4o35 
5465 
6905 



I330 

3657 



39504094 
5387 553i 



83598463 



8546 

i4fi5 

2849 

399641404283 



1372 
2706 



70o5 
83958438 



x3ox 

3733 



3445 
3876 
53o6 
r35 
8164 830764508593 



5593 
7031 



409 
655 



84o5 



1388 
2729 

4169 
5609 
7046 
8487 
9936 

i363 
3801 
4338 

5674 
71x0 



5716 
7149 
858x 



1444 



3875 
43o5 
5735 
7164 



145 



144 



i43 



^46" 
393 

438 
584 

73o 
876 

1033 
1168 

i3i4 



145 

390 

435 

58o 
735 
870 
xox5 
1x60 
i3o5 



i44 

388 

433 

576 

730 

864 

XO08 

xx53 

1396 



x43 
386 
439 

572 

858 

XOOI 

II44 

1387 



I 


143 


3 


384 


3 


426 


4 


568 


5 


710 


6 


853 


I 


^ 


9 


1378 



01284 5 6789 due 



i>ur.4tM«h. 



38 



LOGARITHMS OF NUMBERS. 



Num. 

3040 

4t 
4a 
43 
44 

45 
46 
47 
48 

49 

3o5o 

5i 

52 

53 
54 

55 
56 
57 
58 

59 
3o6o 
6i 
62 
63 
64 

65 
66 
67 
68 

69 
3070 

71 
7a 
73 
74 

77 
78 
79 
3o8o 
81 
82 
83 
84 

85 
86 

87 
88 

89 

3090 

91 

98 

99 



12 3 4 



8736 



8879 



483 0164 o3o7 



159a 
3oao 



44464589473a 



5873 

• 8725 
484oi5o 

1 574 

]^ 
5845 
7268 
8690 

485 01 12 
i533 
3954 
4375 
5795 

7a i4 
8633 
486oo52 
x470 
2888 

43o5 
572a 
7i38 
8554 

• 9969 
487 1384 

2798 
4ai2 
5626 



6016 
744a 
8867 
0292 
1717 

3i4i 
4564 



8833 

0254 
1676 



845 1 

• 9863 
488 1275 

3686 
4097 

5507 
6017 
8326 

• 97359876 



4891144 
a552 



^73 
8179 



• 95859725 

4900^ 



• 94ia 

491 o8t4 

aai6 



1735 
3i6a 



9oaa 
o45o 

33o5 



6i5863oi 

75847737 
9152 
0577 
2002 

34a6 



598861306272 



74107553 



8975 

0396 

1818 



3096 3239 3 

4517 46594801 

6221 



59376079 



7356 
8775 
0194 
1612 



3029 3171 
4446 



5863 



72704731 
86958837 
♦ iiooa5a 



i525 
2940 
4353 
5767 



1667 
3o8i 
4495 
5oo8 
703971807521 



8592 
♦004 
i4i6 
2827 
4a38 

5648 
7o58 
8i^7 



55o7 
6014 
83ao 



ii3i 
2535 
3o4o 
5343 



660767476887 



9552 
oo54 
2356 



9164 
0593 
aoao 
3448 
4874 



90x0 
0435 
1859 

3283 
4707 



4849 4991 
64i4 



7695 
9117 



05390681 



76407782 



7498 

033604770619 
1754 '^ " "^ 



9059 



1895 
33i3 



45884730487a 



6oo5 



61466288 



37945: 



1285 

2693 
4100 4a4i 



♦017 
i4a5 

2833 



5648 
7054 



1271 
2676 
4080 



r7i68 
8010 8i5b 8290 843o 8571 



9307 
0735 
2i63 
3590 
5017 

6443 
7860 
9295 
0720 
ai44 
3568 



7837 
9259 



i960 
"38i 



2102 
3523 
4943 
6363 



9aoi 



7563 
8978 
0393 

1808 

3222 

4636 



7462 



1698 



8734 

01460287 
i557 ' " 
3968 

4379 
5789 



5o3o 
7^40 



i566 

3074 

438i 
5788 
7195 



84608601 
986640060x47 



i4i3 
2816 
4320 



54845624 



7027 



96939833 

1094 

3496 



2037 
3455 



7704 
9120 
o535 

1950 
3364 

4778 



60506191 



7604 



88759016 
" 0428 



1839 



3109 325i 



4661 

6071 
7481 



87408890 
01580299 



1707 
3fi5 

4522 

^^ 

8741 



1 552 
2057 
436i 
5765 



% 



1235 

2636I2776 



12 3 4 



5 6 

94509593 
0878 
23o6 
3733 



5i6o 53o2 



658667296871 



8012 

9437 
0862 



8i54 
9580 
1004 



94379580 



2286 2429 257 



3710 3853 



5i34 



655766996841 



79798 



9401 

0823 
3344 
3665 
5o85 
65o5 



954396869828 



0965 
2386 

38o7 
5227 
6647 



2480668208 



9?43 
0761 
2170 
3596 

5oi3 



948496269768 



ooo3 
2S21 

3738 

5i55 



64306571 



926] 



067608180959 



2091 
35o5 

7745 



3392 

4802 



7622 
9o3i 
o44o 
i848 

3256 
4663 



8882 



1693 
3097 
45oi 



7308 
871 1 
♦ii3 
i5i5 
3916 



1021 
2449 
3876. 



9736 
ii64 
259] 
4018 
5445 



8297 
9722 

Ii47 



5276 



5418 



8264 



388o4o2 



3746 
4i63 

558o 

84i3 
954496869827 

IIOI 



5397 
6713 



798781298270 
94o3 --• — 



2232 

3647 
5o6o 
6473 
7886 



915792999440 
56907100852 



2122 
3533 
4943 



62126353 



7763 

o58o 
1989 

3396 

48o4 

60706210 

74767617 



9023 



0287 0428 



i833 
3238 
4643 



59056045 

7448 
885i 
0253 



i655 

3o57 



8 9 

9879) 402 1 

i3o7 

3734 
4I6I 

5588 



7014 
843o 
^5 

12891432 
'2856 



3714 

4i37 
556i 
6984 



4380 
5703 
7126 
84068548 
9970 



2670 
4091 
55ii 
6930 



1045 
2462 



835o849i 



5438 
6855 



3374 
3788 
5202 
66i5 
8027 



2263 

3674 

5o84 



93i3 
0721 



3537 
4o44 
635i 

7757 



3378 
4783 
6186 



1795 
3197 



1449 
2877 
43o4 
5730 

7i56 
8582 
♦007 



1249 1391 



1186 
2604 

1 



9581 
0993 



3404 
38i5 

5225 



649466356776 



8045 



0862 



21292270 

3678 

5o85 



916393049444 
1569 0709 o85o 
073 2 1 142254 



2114 
35i8 
4933 



63266466 

758977397869 



9132 



1935 
3337 



2812 
4233 
5653 

7072 



[242 

2657 
4071 
5484 



25i5 

81698310 
9733 



ii34 
2545 



8i85 



94549594 



ioo3 
2411 

38i8 
5226 



6492 663a 
78988038 



aa54 
3659 
5o63 



9373 



05340674 



3076 

3477 



5 6 7 8 9 



Dim 



DiC^tMaH. 



142 



i4i 



Diff. 



x43 
286 
439 
572 
7i5 
858 

lOOI 

ii44 
1387 



143 
384 
436 
568 
710 
85a 

1% 

1278 



i4i 
382 
433 
564 
7o5 
846 

9^ 

1138 

1369 



i4o 
a8o 
430 
56o 
700 
84o 
98a 
Xiao 
ia6o 



DiflL^tMsH 



40 



LOGARITHMS OP ICOMBBRS. 



Nan. 

31«0 

6i 
63 
63 
64 

65 
66 
67 
68 

69 

3170 
71 
7a 
73 
74 

75 
76 

79 
3i8o 
61 
83 
83 
84 

85 
86 

87 
88 

89 

3190 

9« 
92 

t 

i 

92 
98 
99 

39 00 
01 

oa 
o3 
04 

o5 
06 

07 
08 

09 

3a 10 

II 

13 

i3 
14 

i5 
16 

17 
18 

'9 

Null. 



12 3 4 



4996871 7008 7146 7383 7431 
8345 8383 853086578794 

• 961997569893 #o3i 0108 
5000993 11391367 i4o4 i54i 

2J65 35o3 3639 3777 3914 

3737 3874 4oia 4i49 4a86 
5109 5346 5383 5531 5658 
648i 6618 6755 68o3 7039 
7853 7989 81 36 8a63 84oo 

• 93339359949696349771 

5oi o5o3 0730 0867 1004 I i4i 
1903 3099 3336 3373 35 10 
3333 3460 36o6 3743 3870 
4701 4838 4974 5i II 5348 
60696306634364806617 

7437 7574 77" 7848 7984 

• 88058043907892159353 
5oa 0173 oJooo446 o583 0719 

1539 1670 181 3 1949 3c86 
39053043 3178 33i5 3453 

43714408 4544 4681 4817 
5637 5773 5910 6o46 6i83 
7003 71 38 7275 74i I 7548 
83668503863987768913 

• 973i 9867 ♦ooS oi46 0376 

5o3 1094 i33i i367 i5o3 i64o 
3458 35o4 3730 2867 3oo3 
3831 3957 4093 4239 4366 
5183531954S6 5593 5738 
6545 6681 6818 69S4 7090 

7907 8043 8179 83i 5 845i 

• 93689404954096769813 
504063907650901 io37 1 173 

1989 2125 2261 2397 2533 
33493485362137573893 

4709 4845 498051 16 5252 
6068 6204 633o 6475 661 1 
7426 7562 7606 7834 7070 

• 8785 8920 90^6 9192 9J28 
5o5 0142 0378 o4i4 o55o o685 

i5oo i635 1771 1907 3043 
a857 2992 3 1 28 3264 3399 
42134349 4485 4620 4756 
556o 5705 58415976 61 1 3 
6925 7061 7196 7332 7467 

82808416 855186878833 

• 96359771 9906*0420177 
5060090 1125 1260 i3a6 i53i 

3344 3479 ^^'4 2750 3885 
36973833396841034238 

5o5o5i86 5321 5456 5591 
64036538667468096944 
77557891802681618296 

• 91079242937895139648 
50704590594073908640999 

1810 1945 2080 33 1 5 335o 

3 160 3295 343o 3566 3701 
45ii 46464781 4916 5o5i 
586o 5095 6i3o 6265 64oo 

7210I7345 7480I7614 7749 



4016 4i53 



5385 



5532 



6753 6890 7037 7164 7JOI 




1776 191 3 
31393276 



45o2 



4638 



5864 6000 61 37 6273 6409 



7226 7362 



2669 



5388 

6747 



9464 
0821 

3178 
3535 
4891 



7603 



1667 



5737 



843i 



1688 

3o58 

4w44a745fi4 

565957965933 



3413 

4774 



858787348860 



♦o85 
i445 
38o5 



40394165 



5534 
6883 



8106 8341 



9509 

0957 

33i4 
367 
5027 
6247 6383 



7738 



1802 



3o2o3i56329i 



5862 



70797214 



8567 



97839918 
ii34 



3485 
3836 

5i86533i 
6535 6670 



853i 



9800 «o35 

1300 l403 
3633 

3998 



5364 

67296865 

80938230 



2049 ^i85 



3548 
491 1 



7498 



023I 

i58i 
2941 
43oi 



566o 



093 

245o 
38n6 
5i63 
65i8 



80589093933993649500 
o3i 2 0448 o583 0719 o854 



1937 



43744509464447804915 



tjSo 
8702 
♦o53 
i4o5 



269 

2620 3755 
3971 



5456 
68o5 



7884 8019 81548389 



8108 
9481 
o855 
3337 
36oo 




8668 



3769 
4i35 

55oo 



7019 
8377 
9735 9871 



5796 
7i55 
85i3 



1338 

3585 
3943 
5298 
6654 



787480098145 



207, 



6i33 
7485 
8837 
0188 



4i 06 4241 



5590 
6940 



2321 

3684 
5o47 



76357771 

1717 
3077 
4437 



91 32 

0493 

i853 
32i3 

4573 

5932 
7391 

8649 
♦007 
i364 

3731 
4078 
5434 
6790 



330B 



34263562 



6268 
7620 
897a 
0324 



1 540 1675 

38903035 

' 4376 

5735 

7075 
8424 



Die 



DfC^bMaiL 



137 



i36 



i35 



i38 
276 
4i4 
55a 
690 
828 
966 
iio4 
ia42 



i37 
a74 
4ii 
548 
685 
8aa 

13I3 



i36 

a7a 
4o8 
S44 
680 
816 
95a 
1088 
ia34 



i35 

270 
4o5 
S4o 
^5 
810 
945 
1080 

13l5 



12 3 4 5 6 7 8 9 



DUE 



Dift^tMidL 



LOGARITHMS OF NUMBERS. 



41 



Num. 
3230 

21 
22 
23 
24 

25 
26 
27 
28 
29 

32 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

3a 4o 

41 

43 

43 
44 

45 
46 
4? 
48 

49 

32 5o 

5i 

52 

53 
54 

55 
56 
5? 
58 

59 
3a 60 
61 
62 
63 
64 

65 
66 

67 
68 

69 

3270 

.71 
72 
73 
74 

75 
76 
77 
78 
79 
Nam. 



01234 56789 



DiC 



Diir.ibMnlt. 



507855918694 
♦042 
1390 
2738 
39504085 



• 9907 
5o8i255 
2603 



5297 



66446778 
8124 
9470 
o8i5 

2160 



5090680 
2025 



3370 35o4 



4714 
6057 
74oo 

8743 
5iooo85 
1427 
2768 
4109 

545o 
6700 
8i3o 

5ii 



4848 
6191 
7534 

8877 



02190354 



6o6a( 



2147 
. 3485 
4823 
61 
7497 

• 8834 

5120170 

i5o5 

2841 

4175 



i56i 
2903 
4244 

5584 
6924 
8264 
9603 
0942 

2281 
3619 
4957 
q4 
763i 



6844 
8178 
• 95 
5i3o844 



2176 
35o8 



6171 
75o2 

• 8832 

5i4oi62 

1491 

2820 

4149 

5478 

68o5 

8i33 

• 

5i5 0787 

2If3 



34393571 
47644897 
6222 

7547 



60896 
74i4 



8828 
0177 
1 525 
2873 



4220 4354 



5432 



5567 
6913 
8259 
9604 
0949 

2294 
3638 
4982 
6326 
7669 

901 1 



1639 
2074 
4309 i 

55io5643 



6g77 
83ii 

9644 
0977 
23o9 
364i 
484o4Q73 

7635 



0295 
1624 
2953 
4282 

56io 
6938 



82668398 

9460 9593 9725 

io52 

2378 
3704 

5029 



0919 

2246 



8q63 

03l2 

1660 

3007 



•6?5 
3o37 
4378 

5718 
7o58 
83o8 
97^7 
1076 

241 5 
3753 
5090 
6428 
7764 
9x01 
0437 
1772 
3io8 
4442 

5777 
7111 
8444 
9777 
mo 

2442 
3774 
5io6 



7768 

89659098 
"0428 

1757 
3o86 
44i5 

5743 
7071 



5701 

7047 
83o3 
9739 
1084 
2429 
3773 
5ii7 
6460 
7803 



o44i 
1794 
3i42 
4489 

5836 
7182 
8528 
9873 
1218 

2563 

^^ 
525i 

65q4 

79J7 



91469280 



0622 

964 

33o5 

4646 

5986 
7326 



o488 
1829 
3i7x 
45i2 

585a 

7192 

8532I8666 

9871 

1210 



a548 
3887 
5224 
656i 
7898 

9234 
0570 
1906 
324i 
4576 

5910 
1244 
8578 
991 1 
1243 

2576 
3908 
5a39 



6437 6570 



7901 

9231 
o56i 
1890 
3219 
4548 

5876 
7204 
853i 
9858 
ii85 

25l 

3837 
5162 



63546487 
76797811 



♦oo5 
i344 

2682 
4020 
5358 
6695 
8o32 

9368 
0704 

2o40 

3375 
4709 

6044 
7377 
8711 
♦044 
1377 

2709 

4o4i 
5372 
6703 
8o34 

9364 
0694 

2023 

3352 
4681 

6009 
7336 
8664 

999' 

i3i7 

2643 

5294 
6619 
7944 



9233936895039638 



o58i 
1929 

3277 
462/ 



0716 
2064 
341 1 



144758 
5970 6io5 



7317 
8663 
♦008 
i353 

2697 
4042 
5385 



745i 

8797 
0142 
1487 

2832 

4176 

5520 



6240 6374 



8072 



67296863 



8206 



9414 
0756 
2098 
3439 
478049^4 



9548 
0800 

22%1 



35/3 8707 
5o48 



6120 
746o 
8800 
0139 
1478 
2816 



6254 
75q4 
8934 
0273 
1612 

2950 



41544288 
5625 



5492 

68296962 

816582998433 



95o2 
o838 
2173 
35o8 
4843 



9635 
0071 
23o7 
3642 
4976 



617763^0 6444 6577 



75ii 
8844 
0177 



2842 
4174 
55o5 
6836 
8167 



2 

4 102 
5427 
6752 
8076 



7586 
8932 
0277 
1622 

2966 
43 10 
5654 

mo 

9682 
1024 
2366 



6388 
7728 
9068 
0407 
1745 

3o84 
U22 

57r 



7644 
8078 

o3ii 



i5ioi643 



,075 
307 
5638 

sSoJ 



9497, 
08270960 



2289 
36id 



4946 5079 
6274 6407 



2i56 
3485 
48i3 

6t42 

74697602 

8797892. 

♦ 123 

i45o 
1776 2909 3o4i 



02; 
i583 



4234 
556o 



o85i 

2I( 

35- 
4893 



7720 
9066 
041 1 
1756 

3ioi 
4445 
5788 
7i32 
8474 



9817 9951 



1 159 
25oo 
384i 
5182 

6522 

7862 

9202 
o54i 



3218 
4555 



no: 
2440 
3775 
5iio 



7778 
91 1 1 



1776 

3io8 
4440 
5771 
7102 
8433 



96309763 



1093 
2422 
3751 



7735 
9062 



129 9002 
56 0389 
83 1715 



4367 
5692 
7017 



820983418474 



0986 
2334 
368i 
5028 



1293 
2634 

53i6 
6656 

% 

0675 



18792013 



72. 
8566 

^o 

1238 
2574 
3900 
5243 



791 
9244 



o444|o577 
1910 



9896 

1225 

2555 
3883 

5212 



7867 



3174 



9772 
II2I 

2468 
38i6 
5i63 

65o9 
7855 
9201 
o546 
1891 

3235 
4570 
5923 
7266 
8609 



335i 

6026 
7363 
8700 

♦o36 
1372 
2707 
4042 
5377 
6711 
8044 
9377 
0710 
2043 

3375 
4706 
6o38 
7368 



3242 
4573 
5905 
7235 
85668699 



♦029 
i358 
2688 
4oi6 
5345 



65406673 



8000 



9195 9327 

o52i o654 

1980 

33o6 
44994632 
5825 5957 



71497282 
'^' 8606 



x34 



x33 



x35 
270 
4o5 
540 
675 
8x0 
945 
1080 

12X5 



x34 
268 
402 
536 
670 
804 
938 
xo7a 
1206 



x33 
366 



665 

1064 
1197 



X32 

264 

396 
528 
660 
79a 
924 

xo56 
X188 



1234 56789 



Diir. 



X 

2 
3 
4 
5 
6 
7 
8 

JL 
DMr.4DM«lt. 



42 



LOGARITHMS OF NUMBERS. 



Nmo* 

3380 

8i 
8a 
83 
84 

85 
86 

87 
88 

89 

3390 

91 

9Q 

98 
99 
33 00 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 

33x0 

XI 

xa 
x3 
14 

x5 
16 

17 
18 

»9 
33 ao 
ax 
aa 
a3 
24 

a5 
a6 
27 
a8 
a9 

33 3o 
3x 
3a 
33 

34 

35 
36 

37 
38 
39 



01234 56789 



516 8738 
5160062 
i386 



8871 



01950327 



3709 2841 
4o3i 4i64 

5354 



(5486 56i8 
667668086940 



517 0639 0771 
1959 2091 



81 29 8261 
94509582 



3270 
4596. 
5917 
7236 

8554 

• 9872 
5181189 

a5o7 
3823 

5i39 
64551 
7771 

• 9086 



3411 
473o 
6o4< 
7361 

8686 
♦004 

l32I 

2638 
3955 

5271 



5i9o4ooo532 



54o3 

65876718 

8o34 

9^A 



790a 
9217 



X7i5 
3oa8 
434a 
5655 



8a8o 

• 959a 

Sao 0903 

aai4 

35a5 

4835 
6x45 
7455 



87648895 
Sax 0073 oao3 



x38i 



3996 4ia7 
S3o3 5434 
6610 6741 

79168047 



• 9aa2 

Saa 0528 

x833 

3x38 

444a 
S746 



5a3o958 



3562 
4863 



i5i8 



0903 

2aa3 
3543 
4862 
6181 



75oo763i 



88x8 

01360267 
453 - - 
2770 
4086 4a 18 



i846 
3i6o 
4473 
5786 



9^49 < 
o663< 

1977 
3291 
46o5 
5918 



7099733© 



84x1 



io34 
2345 



4^ 



9353 



7o5o 7180 
8353 



1964 
3268 

4573 
5877 
7180 
8483 



73x1 
8614 
• 9656978699x6 



1089 



aa6o a39i 



3692 
4993 



9003 9x36|9a68 



i65o 

3973 



0450059a 
1783 19x5 



3io6 



42964438 



5750 5883 
7204 
85a6 
9846 
1x67 



7072 

8393 

9714 

o35 



2355 
3675 



89509081 
0390 



5534 
685c) 
8i63 



6981 

8297 

9480961a 

07950936 



aa4o 

3554 

4736 4867 

60496180 



2109 
3423 



854a 



973398549985 



1 166 

a477 



3656 3787 



5097 



62766407 



75867717 



o334 
i64a 



i5xa 

a8ao 3950 
4258 
5565 
6871 



8178 
9484 



0659^0789 0930 



2094 
3399 

47o3 
58776007 



1219 

2521 
3823 

5x34 



3338 
456o 



3487 
3807 
5i36 

6445 
7763 



1 585 



1716 



390313033 
• "4350 



736i 
8674 



7493 

88o5 
♦xx6 
1438 
3739 
39x8 4049 



397 

3608 



5aa8 



5359 



6538 6660 

78477978 



903691569387 



1773 
3o8i 
4388 
5695 
700a 

83o8 
9614 



2335 



3399 3539 



6137 

744i 
8744 
♦047 



365 1 
3953 
5354 



5666 



04650596 



1904 

3313 

45io 
5836 

7i33 

8439 
9745 
io5o 
3355 
366o 



48344964 



6368 

7571 
8874 
0177 



1349 1 479 



3781 
4o83 
5384 



6x64 6394 64346554 6684 
12 3 4 



0734 

3o47 

3370 
4693 

^601 5 
^336 



940019533 9665 9796 9930 



o856 
ai8o 
35o3 
4835 

6147 



8658879089a 



♦ III 
i43i 



9978 
1399 

36192751 

4071 



52 

6577 
7895 

9313 
o53i 
1 648 
3i65 
448i 

5797 
7ii3 
8438 



139055: 
6709 684o 
81' 

9477 



6027 

9345 
06636794 



1980 
3397 
461347454876 



8560869 



97439875 



644365746705 
775578868018 



0348 
1559 
3870 



ao35 
3343 



5957 
7363 



9875 
xi8t 
3486 



5094 
6398 
7703 
9005 
o3o7 

X609 
391 1 
43x3 
55x4 



7469760 



6379641 X 



^i 



606 

7376 



xo58 

3373 
3685 

7634 
8936 90&7 



1189 

35o3 
38,7 , 
5i3o526i 



037905 

1690 

3ooi 



4i8o43i 

54905631 
6800693 
8x09^ ' 
9418. 
0737 



3x66 

3473 

465o478i 

■ " 6088 

7394 



857087008831 



♦006 
i3ii 
3616 



37903931 



5335 

6529 
7832 
9x35 
0437 

1740 
3o4i 
4343 
5644 



68x469457075 



0989 1121 
3313 3444 



3635 
4957 



0343 0375 ' 



[563 

3883 
4202 
22 



4334 
5654 
6972 



59829 

9608 
0926 
2243 
356o 



2111 
3438 



♦006 
i3ao 



2634 
3948 



IG 
1821 

3i33 
444a 

575a 
7063 



83408371 



968098 
0988 



2296 
36o4 
491 1 
6ai8 
75a5 



oi36 
1443 

3747 
4o5i 



5355 5486 
6398652966596780 
7702 7832 7962 8093 
9005 9x35 9265 9395 9536 
o3o7 0437 o568 0608 0838 



1870 
3173 
4473 
5774 



1353 

3577 
3767^3899 



50895333 



7733 
9054 



1695 



6543 
7865 
9186 
o5o7 
1837 



3oi5 3i47 



6193 

75o8 



5785 
7104 
84aa 

9740 
o58 

3>75 

369a 
5oo6 

63a4 
7639 



88338954 



oi37 
1453 



0269 
i583 

376613897 

4079 43 II 

'- 5534 

6836 

8149 



5393 



9198 9339 9461 



C)64i 
1953 
3363 



85o3 
II 
1119 

3437 
3735 
5o43 



0698 

3000 

33o3 
46o3 
5904 
73o5 



4466 



0772 
2o83 
3394 



45734704 

5883 6014 
71937324 



8633 
9943 
i25o 

2558 
3866 
5x73 



63496479 

76557786 

0267 
1572 
2877 
4i8i 



9092 

0397 
J703 
3007 
43x3 

56i6 
6930 

8333 



ai3o 
3433 
4733 
6o34 
7335 



5 6 7 8 9 



Diir. 



X32 



i3i 



Difl*. 



DUt^tMak. 



I 


i33 


a 


a66 


3 

4 


^ 


5 


665 


6 

7 


pj 


8 


>o64 


9 


1.97 



i3a 

a64 
396 
528 
660 

79» 

934 
io56 
1188 



i3x 

a63 
393 
534 
655 
786 
917 
io48 

"79 



x3o 

a6o 
390 

530 

65o 
760 
910 
xo4o 
1x70 



DiflT. it MQh. 



Ksm. 

3340 

4i 

43 
44 

45 
46 
47 
48 
49 
33 5o 
5i 

52 

53 
54 

55 

56 

5? 
58 
59 

33 6o 
6i 
6a 
63 
64 

65 
66 

67 
68 

69 
3370 
71 
72 
73 
74 

75 
76 
77 
78 
79 
33 80 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

3390 

9' 

9a 

$ 

98 
99 

Num. 



LOGARITHMS OF NUMBEBS. 

~0 i 2 3 4 5 6 7 8 sT 



523 746Si 
8765 

524 
i364 
a663 

3961 
5259 
6557 
7854 

• 9i5i 

5a5o448 
1744 
3o4o 
4336 
563i 

6925 
8220 

• 95i3 
5a6 -* 



08070936 
2100 2229 



3393 
4685 
5977 



35a2 
48i4 
6106 



7269 73< 
856or' 



• 9851 

527 ii4i 

243i 

3721 



^^59 
7588 

• 8876 

5a8 oi63 

i45i 



53ii 
65q6 
7882 

529 6452 
1736 

3020 



5587 
6870 
8i52 



• 94349562 
53007160844 

1997 2125 
3278 3406 

4558 4686 
583. 
71 
8398 

• 9^7 
53 1 0955 

2234 

35i2 



7595 
8895 
0194 
1494 
2793 

4091 
5369 
6687 
7984 
928 

0578 
1874 
3170 
4465 
5760 

7o55 
8340 
9643 



7725 
9025 
o324 
1624 
2922 

4221 
5519 
6817 
8ii4 
9411 

0707 

2003 

459? 



7184 



84788608 



9772 
1066 



365i 
4944 
6235 
7527 
881889479076 



9980 
1270 
256o 
385o 
5oio5i39 5: 



0292 
1 579 



2738 2866 
4024 4i53 
5439 
6725 
8010 

1295 
o' 

1864 
3i48 
43o44432 



5715 



7246 
8526 



io83 

2362 

3639 



7855 
9155 
0454 
1753 
3o52 

4351 
5649 
6946 
8244 
9540 

0837 
2i33 
3429 
4724 



5890 6019 6i48 



2359 ^^^ 



IP9 
i3< 
2689 



64286557 
7716 7845 
9004 9r33 



0421 
1708 

2905 
4282 
5568 
6854 



5843 
7126 



0972 

2253 

3534 

48i4 



98059933 



1211 
2489 



7985 
9285 
o584 
i883 
3i8a 

448i 
5779 
7076 
8373 
9670 

0967 

2263 

3558 
4854 



73i4 



9902 

1 195 

[88 



7443 
8737 
♦o3i 
i324 
2617 



378 
5073 
6365 
7656 



3910 
5202 
6494 
7785 



0238 
1 528 
2818 
4108 
5397 

6686 



9262 
o55o 
1837 

3i24 
44io 
5696 
6982 



813982678396 



94249552 
0700 0837 
1993 

3277 



2121 
34o5 



456046894817 



5972 
7254 



84088537 
969098 



H9 

[lOO 



238i 
3662 
4943 
6223 
7502 



7374 
86548782 
060 



1339 
2617 



376713895 



o367 
1657 
2947 
4237 
5526 

6814 



79748103 



929' 
0678 

1966 

3252 

453o 
5825 
71 1 1 



Si 
0965 

225o 

3533 



6100 
7383 
8665 

9947 
1228 

2509 
3790 
5071 
635i 
763o 



oil 
1467 
2745 
4023 



8ii5 
941 5 
0714 
201 3 
33i2 

4610 
5908 
7206 
85o3 



8245 



9545 9675 



o844 
2143 
3442 



4740 4870 



6o38 
7336 
8633 



9800 9929 4059 



1096 
2392 
3688 
4983 



1226 

2522 

38i7 
5ii3 



6278 6407 6537 6666 6796 



7572 
8867 
0160 
1454 
2746 



783i 
8996 91 25 
0419 
1712 
2876 3oo5 



7702 
89 

02< 



4o394: 



533i 
6623 
7914 



]68 
460 

752 
8043 



5460 5! 
66236752 



9205 9334 9463 



0496. 
1786 



0625 
1915 



3076 32o5 



4366 
5655 

6943 
8232 
9520 
0807 
2094 

338i 
4668 
5954 
7239 
8525 



♦075 
i356 



2637 
3918 

6479 
7758 



o3i6 
1595 
2873 
4i5o 



8375 



0974 
2273 
3572 



6168 
7465 
8762 



73367465 



0290 
i583 



4297 
5590 
6881 
8173 



4494 
5783 

7072 



35io 

47L 

7368 
8653 



1222 
25o6 



98099938 

1094 

2378 

3662 

4945 

6228 
75ii 



7639 

87938921 

oao3 

i485 



9037 9165 



0444 
1722 
3ooi 
4278 



1 355 
265 1 

3947 
5242 



85o5 
9805 
1104 
24o3 
3702 

5ooo 
6298 
7595 
8802 
0189 

i485 
2781 
4076 
5372 



0754 
2044 
3334 
4623 
5912 

7201 



7961 
9255 
o548 
i84i 
3i34 

4427 
5719 
70J0 
83o2 
9593 

o883 
2173 
3463 
4752 
6o4i 



8360848986] 

9648< 

0936 

2223 



9777 

io65 

2352 

3638 

4925 

621 

7456 

8782 

♦066 
i35i 
2635 



379039194047 
5074 5202 533o 

66i3 



63566485 



7767 



o33i 
i6i3 

2894 
4174 
5455 



2766 
4o46 
5327 
66076734 



78868014 



0572 
i85o 
3128 
4406 



733o 
18 
9906 
1193 
2480 

3767 
5o53 
6339 
7625 
8910 

0195 
1479 
763 



90499178 

'*'* 0459 

1741 



3o22 

43o2 
5583 
6862 
8142 



92939421 



0700 
1978 
3256 
4534 



8635 

99^5 
1234 

2533 

383i 

5i3o 
6427 
7725 
9022 
o3i8 

f6i5 
291 1 
4206 
55oi 



8090 
9384 
0678 
1971 
3264 

4556 
5848 
7140 
843 1 

9722 

1012 
23oa 
3592 
4881 
6170 

7459 
8747 
♦o35 
i32a 
2609 

3896 
5182 
6468 

7753 
9039 

o323 
1608 
2892 
4175 
5458 

6741 

78968024 

9306 



o588 
1869 

3i5o 
443o 
57H 
6990 
8270 

'^t 

2106 
3384 
4661 



BitL 

"l35r" 



129 



128 



43 



Diff. & HnlU 



l3o 
a6o 
390 
520 
65o 
780 
910 
io4o 
1 170 



387 
5i6 
645 
774 
903 
io32 
1I6I 



128 

256 
384 
5ia 
64o 
768 
896 
1024 

1 1 52 



127 
254 
38i 
5o8 
635 
762 

1016 
1 143 



01234 56789 



Diff. 



DUEitHiih. 



44 



LOGAKITHMS OF NUMBfiBS. 



Nam. 

3400 

oi 
oa 
o3 
o4 

o5 
06 

07 
06 
09 

34 10 
II 

13 

i3 

14 

i5 
16 

17 
18 

19 

3420 

ai 

23 
23 

24 

25 
26 

27 
28 
29 

34 3o 
3i 
3a 
33 
34 

35 

36 

37 
38 
39 

3440 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

34 5o 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

Nam. 



01234 56789 



53147894917 

6o66'6i94 

73437471 

86108747 

• 9896 ♦oa3 



532 1171 
2446 
37 J I 

4996 



6370 6397 



7544 
8817 
5330090 
i363 
a635 

3907 
5i79 
645o 
7721 

• 899' 
534oa6i 

i53i 
2800 
4o6o 
5338 

6606 
7874 

• 9141 
535o4o8 

1675 

2941 
4207 
5473 
6738 
8oo3 

• 9267 
536o53a 

1795 
3o5. 
43aa 



5584 
6847 



81098335 



• 9370 
537o63i 

189a 
3i53 
44i3 
5673 
6933 

8191 

• 94^0 
5380708 

1966 

3333 



1399 

3574 

384Q 
5ia3 



7671 
8945 

03l8 

i4^ 
37ba 

4o34 
53o6 
6577 
7848 
9118 

o388 
i658 
3937 
4196 
5464 

6733 
8000 
9a68 
o535 
1803 

3o68 
4334 
5 



8139 
o658 



.93 



1933 
~i85 
4448 



571 1 
6973 



94? 
075 



3018 
3379 



Po^ 



83i7 
9575 
o834 
3093 



44814606 
5737 5863 



83508375 
• 95o6;963i 



5o45 

6323 

7598 
8875 



5i73|53oo 
6449'6577 



7726 

9003 

01 5i 0378 



1436 
3701 
3976 
525i 
65a5 



1617 



1 554 
3839 
4io4 
5378 
665a 



7854 
91 3o 
o4o6 

1681 
2956 
423i 
55o6 
6780 



7799 

9072, _ 
0345 0472 



7936 8o53 



91999326 



1745 



38903017 



4i6i 14389 44i6 

543315560-- 

67046831 



7975 
9245 

o5i5 
1785 
3o54 
4333 
5591 



8ioa 
9372 

0642 
191a 
3i8i 
445o 
5718 



68596986 



8137 

0663 
1938 

3194 
4460 
5736 

8??6 

9530 
0784 
3o48 
33ii 
4574 
5837 

836? 
9633 
0884 



8a54 
95a I 
0788 
2o55 

3321 
4587 
5852 
7118 
8382 



091 1 

2174 
3438 
4701 



7335 
8487 



3i44 3370 
3405353 1 
4539466514791 
59346050 
71847310 



8443;8569 
9701 '9837 
0959' I o85 

3317(3343 

33493475,3601 



473314858 
5989 61 1 4 
7345,7371 
85oi8637 
9757 9883 



0599 
187a 
3i44 



5687 
6958 
8339 

9499 



0769 
ao39 
33o8 
4576 
5845 

7ii3 
838i 
9648 
0915 
2x81 

3448 
4713 

5979 
7244 
85o9 



96479773 



1037 
23oi 
3564 
4837 



59636089 



7353 
86i3 



97499875 
ii36 



2396 
3657 
4917 
6176 
7436 

86q4 
9953 
1211 

^726 

4983 
6340 
7496 
8753 
♦008 



6833 
8109 
9385 
0661 

1809 1936 

3o84^ 

435o 

5633 

6907 

8181 
9454 
0737 

'999 

3371 

4670 
5941 
721a 
8483 
9636 9753 



0896 
ai65 
3435 
4703 
5973 

7240 
85o7 
9775 
io4a 
a3o8 

3574 
484o 
6io5 

7371 
8635 



2523 

3783 

5o43 
63o3 
756i 

8830 
♦079 
i337 
3595 
3853 

5109 
6366 
7622 
6878 
01 33 



5556 5683 58u 



1023 

3393 
356i 
483o 
6099 

7366 
8634 

1 168 
2435 

3701 

4967 
623a 

7497 
8762 

♦026 
1390 
3553 



5169 
64281 
7687 
8946 

0305 

i463 
3730 
3978 

5335 
6491 

7747 
9003 



6960 
8337 
95i3 



0789 0916 

3191 
3466 
4i4i 
6oi5 
7289 

8563 
97089836 



1295 
i56i 

3837 



a649 3775 
3909 4o35 



5395 
6554 
7813 



7088 
8364 
9640 



4924 
6196 
7466 
8737 
♦007 

1377 
3546 
38i5 
5o84 
6353 

7630 
8888 
oi55 
1433 
2688 

3954 

5330 

6485 
775o 
9015 

0370 
1 543 
3806 
4069 
533a 

65o4 
7856 
91 18 
0379 
i64o 

2901 
4i6i 
5431 
6680 
7939 



536o 

66176743 
7873 
9139 



0359 o384 < 



3319 
35q4 
4868 
6143 
7416 

8690 

1336 
35o8 
3780 

5o5i 
6333 
75o4 
8864 
01 34 

i4o4 
3673 
3942 
5aii 

6479 

ll4i 
9014 
oa8i 
1 548 
2815 

4o8i 
5346 
6613 
7876 
9141 

o4o5 
1669 
393 a 
4195 
5458 

6731 
7982 
9244 
o5o5 
1766 

3o37 
4387 
5547 
6806 
8o65 

9324 
o582 
i84o 
3098 
4355 

56i2 
6868 
8124 
I9380 
i65ioo635 



12 3 4 



5 6 7 6 9 



Diffl 



127 



126 



DiflU 



Diir. lb MolL 



128 
356 
384 
5ia 
64o 
768 
896 
1034 
II 5a 



137 

254 
38i 
5o8 
635 
762 

loxo 
1 143 



I 


126 


a 


aSa 


3 


378 


4 


5o4 


5 


63o 


6 


756 


7 


88a 


8 


1008 


9 


ii34 



Diff. at MqIu 



LOGARITHMS OP NUMBERS. 



45 



Nam. 

3460 

6i 
63 
63 
64 

65. 

66 

67 
68 

69 

3470 

71 
7a 
73 
74 

75 
76 
77 
78 

79 
3480 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

3490 
91 
9? 

94 

96 

97 
98 

99 

35 00 

ox 

03 

o3 

04 

o5 
06 

07 
08 
09 

35 10 
II 

17 

i3 

24 

i5 
16 

17 
18 

19 

VWD. 



1234 567 8 9 



Diflr. 



Uitr. & Mult. 



53d 



0761 
3016 
3371 

4535 



0887 

2l4l 

33q6 
465o 



5779 5904 6o3o 



7o32 
8286 



540 



9538966497899914 



0791 
3o43 

3395 
4546 

5797 
7048 
8398 

9548 



0916 
3168 



• 95489673 
54i 0798 0933 



3o47 
3396 



4544466947944919 



542 



5792 
7040 
8388 
9535 
0781 

3038 
3374 

45io 
5765 
7010 



5917 
7i65 
84i3 
965o 
0906 

3l53 
3398 



46444769 
58896014 



543 



9498 
0743 



544 



3339 

447a 
5714 
6956 
8198 
9439 
0680 
193 1 
3i6i 
44oi 
564i 

6880 
8119 
9358 
0596 
i834 

3071 
43o8 
5545 
6781 
8018 

• 9353 

5460489 

1724 

3958 

4193 



545 



3367 

3533 

4776 



71 58 
84ii 



7283 
8536 



io4i 
3393 

3420 3545 
4671 
5933 
7173 . , 
84238548 



47964921 
60476173 
7298 



2172 
3421 



71M 



8354 837Q 
963 J 
0867 

3XIO 

3353 



45o6 
5838 
7081 

8333 



o8o5 
2045 
3285 
4535 
5765 

7004 
8343 
9481 
0730 
1957 

3195 
4433 
566o 
6905 
8x4i 



061 a 

1847 
3o83 
43i6 



ii38 
3393 
3647 
4901 
6i55 

7408 

I 



1 167 
2419 
3670 3795 



97?S 
io48 

3297 

3546 



7423 
8673 

9933 
1 173 
3433 
3670 



6042 
7300 
8537 
9784 
io3i 

3377 
3533 



6167 
741 5 
8663 



85o3 

9747 

^^ 
3478 



73o5 
8446 



95649688 



0939 
3169 
3409 
4649 
588960 



1363 
35i8 
3773 
5o37 
6280 

7534 
8787 
♦039 
1393 
2544 



M5i 

2403 
3648 
48o3 
61 38 



7359 7383 



8638 
9872 
iii5 
3359 
36o3 



47204845 
59636087 



7339 
8571 
9812 

io53 
3293 
3533 
4773 
" i3 



7128 
8367 
9605 
0843 
3081 

33i9 
4556 
5792 
7029 
8365 8388 



7353 

8491 
9739 
0967 

3305 

3442 
4679 
5916 

7i53 



9377950096349747 



0736 
1971 
33o5 
4439 



2094 
3339 
4563 



5o47 
6297 
7548 
8798 

♦048 
1397 
3546 
3795 
5o44 

6393 
7539 
8787 
♦o33 
1380 

3536 
3772 
5oi8 
6363 
7508 

8753 

9996 
1 340 
3483 
3726 

4969 

631 1 

7453 



1177 
3417 

3657 
6x37 

7376 
86i5 
9853 
1091 
3339 

3566 
48o3 
6o4o 

7376 
85x3 



08590983 



2218 
3453 



1 389 
3643 
38o8 
5i53 
6406 

7659 
8913 
oi65 
x4i7 
3669 

3930 
5173 



i5i4, 

4o33 
5377 
653i 

7784 
9037 
0390 
1 542 
2794 



642365486673 



7673 
8933 

0173 
1423 
3671 
3930 
5i68 



0398 
i547 
3796 
4045 
5393 



64i6654i 
7789 
9036 
0383 
1539 



7664 
891 1 
01 58 
i4o5 



365 1 
3897 
5x42 
6387 
7632 

8876 
♦120 
i364 
2607 
385o 

5093 
6335 

7577 



♦060 

i3oi 
3541 
3781 

502X 

6361 



8738 

9977 

13X5 

3453 

3690 
4927 
6i63 



8635 

9871 
1106 
334x 
3576 
48x0 



1 891 
3x45 
4400 
5653 
6907 

8160 

9163938894x3 

' ' " 0666 

1918 



i64o 
2894 
4x4q 
54o3 
6656 

7910 



o4i5 
1667 
291930^13170 



40464171 



5397 



7798 



90489173 



3775 

403X 

5367 
65x3 
7756 

900X 
0345 
x488 
3732 
3975 

5317 
646o 
7701 



88x98943 



0184 

1425 
2665 
3905 
5x45 
6385 



75007624 



8863 

♦ lOX 

1 339 
3576 

38x3 
5o5o 
6387 



7400 7533 



8759 
9905 

X33o 

2465 
36?? 



1765 

3030 

4274 
5538 
6782 

8o35 



o54o 
1793 



5422 



4296 
5547 



7923 



0423 
1672 
292 X 
4x70 
54x8 

6666 
7913 
9161 
0407 
i654 

3900 
4x46 
5391 
6636 
7881 

9x35 
0369 
x6i3 
3856 
4099 

5343 
6584 
7836 
9067 
o3o8 

x549 
3789 
4039 

53r 

61 



9298 

o548 
1797 
3o46 
4295 
5543 

670X 
8o38 
9285 
o532 
1779 
3o25 
4270 
55x6 
6761 
8oo5 



7747 



0334 
x463 
3700 

3937 
5174 
64xx 
7647 
8883 

♦xx8 
1 353 
3588 

3833 



4933 5o56 



4421 
5672 



o4?4 
X737 
3980 
4233 

5466 
6708 



1673 

3913 

4i53 

369 5393 

5o8 6632 



7871 
91x0 



6798 6923 

" "^8x73 

9423 

0673 
1933 
3171 
4419 
5668 

69x5 
8i63 
9410 
o657 
X903 

3x4? 
4395 
5640 
6885 
8x3o 

9350 9374 

' 06x8 

1863 

3io5 

4348 



5590 

6833 

7950 8074 



93x5 
o556 

'797 
3o37 

4277 
55x7 
6756 

9234 
6348 0472 
1 586 
2834 

4061 
5398 
6534 
7770 
9006 

034a 

i477 
37XX 
3946 
5i8o 



17x0 
2947 

4x85 
542X 
6658 
7804 
9x3o 

o365 
x6oo 
3835 
4069 
53o3 



135 



124 



X36 

353 
378 

5o4 
63o 
756 
883 
1008 
xx34 



125 

35o 

375 

5oo 
635 
75o 
875 
1000 

1X35 



124 

348 
372 
496 
630 
744 
868 
993 
XX 16 



123 

246 
369 
492 
6x5 
738 
86x 
984 
1107 



1234 56789 wff. 



Diflr. at Mult. 



46 



LOGARITHMS OF NUMBB&S. 



Num. 

3530 

ai 

33 
33 
34 

35 
36 
37 
38 

39 

35 3o 
3i 

33 

33 
34 

35 
36 

37 
38 

39 
3540 
41 
43 
43 
44 

45 
46 
47 
48 

49 

35 5o 

5i 

53 

53 
54 

55 
56 

57 
58 
59 

3560 
61 
63 
63 
64 

65 
66 

67 
68 

69 
3570 
71 
72 
73 
74 

75 
76 
77 
78 
79 
Num. 



0_ 

540 5437 
6660 
7894 

• 9136 

547 0359 

1 591 
3833 
4o55 
5386 
65i7 

7747 

• 8977 

548 0307 

i436 
3665 

3894 
5i33 
635i 
7578 
8806 

5490033 



1 



3713 
4937 



0483 

1714 
2946 

4178 
5409 
664o 

7870 
9100 
o33o 
1559 
3788 

4017 
5345 
6473 
7701 
8938 

oi55 
t383 
3608 
3834 
5o6o 



61 6a 

7387 

8613 

• 98369959 

5501060 



6385 
75io 
8734 



3384 

35o7 
473o 
5953 
7174 
8396 



[ 0839 096 
3059 
3380 

45oo 
5730 



81 5i 



553 0595 
i8i3 
3o3i 
4348 
5465 

6683 

7899 

• 911 5 

553o33o 

i545 

3760 
3975 
5189 
64o3 

7617 



2 

5673 
6907 
8140 



3 4 



555o 
6784 
8017 
9350 9373 



o6o5 

i838 
3069 
43oi 
553a 
6763 

7993 
9333 
0453 
i68a 
391 1 

4i4o 
5368 



0576 

8o5 

3o34 

4363 

5491 
65966719 

7947 
9174 



1 183 

3406 
3639 
485a 
6074 



85i8 



• 961897409863 

55io83qoq6i io83 

33o4 

3534 



I 
3i8i 
34o3 

4633 
5843 
706] 
8380 



• 937794999621 



0717 
1935 
3i53 
4370 
5587 

6804 

8030 



0453 

1667 

3883 
4097 

53ii 
6535 

7738 



5797 
7o3o 
8363 



94969630 
0739 o85a 



1961 
3193 
44a4 
5655 
6886 

8116 



ao84 
33i6 

4547 
5778 
7009 

8339 
93469469 



78a4 
905 1 

0378 
i5o5 
3731 

3957 
5i83 

6407 
7633 
8857 
♦081 
i3o5 

3538 
3751 
4974 
6197 



o4oi 
1637 
3853 

4079 
53o5 



653o6653 



7396 7419 7541 
86408763 



4744 
5964 
7i83 
84o3 



0839096 



3o57 
3375 
4493 
5709 

6935 
8i4a 



9336 9358 947- 



0573 
1789 

3oo3 
4318 
5433 



5930 
71 54 
8387 



0690 
1938 
3i57 

4386 
56i4 
6843 
8060 
9396 

o533 
1750 
2976 
430a 
5427 



7755 



030. 
1427 

365 1 
3874 
5096 



9984 

I305 

3436 

3646 

4866 
6086 
73o5 



9743 



46i4 
583i 

7047 
8363 



069J 
1910 

3i35 
4339 
5554 



66466767 
786079818103 



7877 
9103 
o336 
1549 
3773 
3996 
5319 



63ig644i 
" 7663 



8885 
♦106 
1 337 
3548 
3768 



6308 

7427 

85348646 



9864 



io83 
31793301 
3396 35i8 



4735 
5953 

7169 
8385 
9601 
0816 

3033 



3346 
446i 
5675 



6167 
74oo 
8633 



5 

fe43 
7377 
85io 
9743 
0975 

3307 

3439 
4670 
5901 
7133 

8363 
9593 
0833 

305l 

3380 34o3 

463i 
5859 
7087 
83i5 



6 7 8 



98669989 
1098 

333o 
3563 
4793 
6034 
7355 

8485 
9715 
0945 
2174 



45o8 
5737 
6964 
8193 
94199543 



0646 

1873 

30993331 

43344447 



5983 

73IO 

8437 
9665 

07690891 
1995 3Il8 



555o 



67756897 



8000 
9234 
o448 
1673 

3895 
4ii8 
5341 
6563 
7785 

9007 
0338 



7390 
85o7 
9733 
0938 
3153 

3368 
4583 
5796 
7010 
8334 



63906414 



2454 
3685 
4916 
6147 
7378 

8608 
9838 
1068 
2297 
3536 



3648 

47544877 
61 o5 
7333 
856o 
9787 
ioi4 



5673 



8133 
9346 
0570 
1794 
3017 



7671 



[449 1 571 
3670 3793 
38904013 

5i 10 5333 

63396451 

7549 

8768 

9986 

iao4 

3433 

364o 

4857 
6074 



♦108 

336 
2544 
3763 

74l3 

8638 



4704 
5918 
7i33 
8345 



7524 
8757 



7647 

8880 

ii3 

i345 

3577 
38o8 
5o4o 

63706394 
' 7624 



75oi 

8731 
9961 
1191 



3344 
456o 
5795 
7030 
8345 



3466 
4693 
5917 

7143 
8367 

o8i5 



1917 
3i4o 



4240 4363 
5585 
6808 
8o3o 



5463 
6685 
7907 
91 39 9351 



o356 0473 
' 1693 



2914 



5354 
6573 
7793 



8890 901 1 



448 
3666 



7534 
8750 
98449965 
1059 1181 
3375 3396 

3489 36iT 



4835 



8466 



9 

5537" 
7770 
9003 
0336 
i468 

i700 
3931 
5i63 



8854 
♦084 
i3i3 



3430 3543 



3771 

5ooo 
6338 
7456 
8683 
9910 

ii37 



3340 3363 



3589 
48i5 
6o4o 

7365 
8489 
9714 
0938 



3363 
4485 
5708 
6930 
8i53 

9373 

0594 

8i5 

3o36 3i58 
413442564378 



5476 
6695 
7914 



033o o353 



1570 
3788 
4oo5 

5333 



3883 
5ioo 
63i7 64396561 

7655 
8871 
♦087 

i303 

35i7 

3733 
4947 



6o3o6i6i 
7253 7374 



8588 



3039 2i6x 



3384 
4607 
583o 
7o53 
8374 
9495 
0717 
1937 



5598 
6817 
8o36 



91339355 



0474 

169a 
3909 
4127 
5344 



7777 
8993 
0309 
1424 
3639 

3854 
5o68 
6383 
7496 
8709 



1234 56789 



DUL 



133 



Diff. lb M nk. 

2 

a 
3 
4 
5 
6 

7 
8 

9 



Did 



Z 
3 

3 
4 
5 
6 

7 
8 



LOGARITHMS OF N IT M B £ n S . 



47 



Nam. 

3580 

8i 
82 
83 
84 

85 
86 

87 
88 

89 

3590 

91 

9Q 

98 
99 
36 00 
01 
02 
<x3 

o5 
06 

07 
08 
09 

36 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

'9 

36 30 

21 

22 

23 
25 

26 

27 
28 
29 

36 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 



1 2 

553 88308952 



3 4 



5 6 7 8 9 



554 0043 0164 
1 256' 1 377 
24682589 
368o38oi 



4892 
61 o3 
73i4 
8524 



5oi3 
6224 
7435 
8645 



97359856 



5550944 
2i54 
3363 
457a 
5781 

6989 
8197 

• 9404 
5560612 

1818 

3o25 
423 1 
5437 
6643 
7848 

• 9053 
557 0257 6378 



06100739 

1823 1943 

3026 3i47 

3869 3989 4109 423o 435o 



i46i 
2665 



5072 
6275 

7477 



• 9881 
558io83 

2284 

3485 



5886 



8285 



1882 

3o8o 
4278 
5476 
6673 
7870 



5600262 
i458 
2654 



5o44 
6239 
7433 
8627 
» 9821 



907I 
0286 
1498 
2710 
3922 

5i34 
6345 
7556 



io65 
2275 
3484 
4693 
5902 

7110 
83i8 
9525 
0732 



7677 
87668887 

9977 

1186 



36o5 
48i4 
6022 

723i 
8438 
96469767 



o853 



939 2060 2180 2361 



3i46 
4352 
5558 
6763 



4472 
5678 
6884 



7968808982098330 



9173 



i582 
2786 



5192 
6395 
7598 



86808800 



♦002 

I203 

2404 

36o5 



468648064926 



7086 7206 7326 



84o5 



• 948496049724 
559068308030923 



3200 

4398 
5595 
6702 
7989 



6382 
1578 
2774 



38493969. 



5i64 
6358 
7552 
8746 
9940 



9194 
0407 



2832 

4o44 
5255 



64^6587 



2396 25l7 



3726 
4935 
6143 

735 1 

8559 



3266 3387 



9294 
0498 
1702 
2906 
'1 

53i3 
65i5 
7718 
8920 
0122 

1 323 
2524 
3725 



600661266246 



8525 



9066 9186 9306 9425 9545 



o5o2 

1698 
2893 

4od8 

5283 
6478 
7672 
8866 
♦059 



1620 1741 



2953 
4i65 

5376 



♦098 
i3o7 



0974 



7798 
9008 
0219 

1428 
2638 

3847 
5o56 
6264 

7472 
8680 
9887 
1094 



4593 

5799591 

7004 



94149535 



5433 
6636 
7838 



0242 

1443 
2645 
3845 
5o46 



1043 
2241 

3440 
4637 
5835 
7o32 



3320 
45i8 
5715 
6912 
8109822918348 



0621 

817 
3oi3 
4208 

54o3 
6597 

7701 
8985 
01 



93T5 
0528 



35o8 
4714 
5919 

7125 



5553 
6756 
7958 



90409160 



7446 
8645 
98449964 



o362 

i564 
2765 
3965 
5i66 
6366 

7566 
8765 



ii63 
236i 

3559 
4757 
5954 
7152 



0741 
1937 
3i32 
4327 

5522 

6716 
791 1 
9104 

98 



79lo2( 



9437 9558 9679 9801 j9922 



o65o 
1862 
3074 



0771 
1983 
3195 



42864407 



5497 
6708 



68296951 
" ' 8161 



7919 8o4o 



9136 



9251 



o34o o46i 



549 

27^ 



5176 
6385 

7593 
8801 
♦008 

12l5 

2422 
3628 



1670 
2880 
4089 
5297 
65o6 

7714 
8921 
0129 
i336 
2542 



37493869 
483449555075 



6o4o 
7245 



845o857i 



965597759896 



0859 
2o63 
3267 
4470 
5673 
6876 
8079 
9281 
0482 

1684 
2885 
4o85 
5286 
6486 

7686 
8885 
♦084 
1283 
2481 



4877 
6074 

7271 



0860 
2o56 

3252 

4447 

564i 
6836 
8o3o 
9224 
o4i7 



56i8 



0892 
2104 
33i6 
4528 

5740 



9372 
o582 

1 791 
3ooi 
4210 
5418 
6627 

7835 
9042 
0249 
i456 
2663 



6160 
7366 



6281 
7486 
8691 



09&) 
2184 
3387 
4591 

5794 
6996 



9401 
0602 

1804 
3oo5 
42o5 
5406 
6606 

7805 



0204 
i4o3 
2601 



3679 3799 39' 



4997 
6194 
73oi 
8588 

96649784 
''^ 0980 



3371 
4566 

5761 
6955 
8i4< 
934: 
o537 



IIOO 

23o4 
35o8 
47" 

5914 

7117 



81998319 



9521 
0723 

1924 
3i25 
4325 
5526 



7925 
90059125 



o324 

l522 
2721 



1910 

»ii6 
63i4 
75x1 
8707 

99<>4 

iioo 

21762295 



3491 
4686 



ioi3 
2226 
3438 



46494770 

586i 
7072 

»282 



5982 

7193 

84o3 

94939614 



0703 
1912 

3l2I 

433o 
5539 
6747 

7955 
9163 
0370 

1 577 
2784 

P?^ 
5196 

6402 

7607 
8812 

♦016 
1221 
2425 
3628 
483 1 

6o34 
7237 
8439 
9641 
0843 

2044 
3245 
4446 
5646 



1 35 

2347 
3559 



672668466966 



8045 



9245 9365 



0444 
1642 
2840 

4o38 
5236 
6433 
763o 
8827 

♦023 

1219 
24i5 
36io 
48o5 



0824 

2o33 
3242 
445i 
566o 
6868 

8076 
9284 
0491 
1698 
2904 

4iii 
53i7 

6522 

7727 
8932 

0137 
i34i 
2545 
3748 
4952 

6i55 
7357 
8559 
9761 
0963 

2164 
3365 
4566 
5^66 



8i65 



o563 
1762 
2960 

4i58 
5356 
6553 

775o 
8947 

0143 
1339 
2534 
3730 
4925 



588060006119 
7075.7194 73 1 4 
8260' 8388 85o8 
9463 9582 19701 
065607750895 



N«m 01234 56789 



Diff*. 



Dim 



Diflr. at MnlL 



I 


122 


2 


244 


3 


366 


4 


488 


5 


610 


6 


732 


7 


854 


8 


976 


9 


1098 



121 
242 
363 

484 
6o5 
726 

847 
968 
1089 



I 


120 


2 


240 


3 


36o 


4 


48o 


5 


600 


6 


720 


7 


84o 


8 


960 


9 


1080 



238 

357 
476 
595 
714 

833 
952 
1071 



DifT.^Mnlt. 



8 



LOGARITHMS OF NUMBERS. 



1640 

4i 

43 
44 
45 
46 
47 
48 

49 
36 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

36 6o 
6i 
6a 
63 
64 

65 
66 

67 
68 

69 

3670 
71 
72 
73 
74 

75 
76 
77 
78 
79 
36 80 
81 
8a 
83 
84 

85 
86 
87 
88 

89 

3690 

91 

$ 

98 
99 

Nam. 



561 IOl4 
aao7 



339935193638 



459a 
5764 



47" 
5903 



7094 

8a86 



6975 

8167 

• 93589477 

56205480667 

1739 i858 



a9a< 

4iil 
53o8 
6497 
7685 

8874 

563 006a 
ia5o 
a437 
36a4 

48ii 

^3 

8369 
• 9555 

564 0740 
1925 
3ioo 
4a93 
5477 
666 
7844 



43564475 



1977 
3o483t67 
4a37 
54a7 
6616 
7804 

8993 
0181 
i368 
a556 
3743 

4930 
6116 
73o2 



9673 

o858 
2043 
3328 
44ia 
5595 

6779 

7962 

• 90279145 

565 0209 o328 

i5io 



139a 

a573 
3755 
4936 
6117 
7298 

8478 

• 9658 
566o838 

2017 
3196 

4375 
5553 
6731 
7909 

• 9087 

5670264 
i44o 
2617 
3793 
4969 

6144 
7320 
8495 i 

568o84l< 



1 2 

ia5a 
a445 



3 4 



ii33 
2326 



483049495069 



6oaa 6i4i 



7214 
84o5 



a69a 
3873 
5o54 
6a35 
74i6 

8596 
9776 
0956 
2i35 
33 14 

4493 
5671 



8027 
9204 

o38 
1 558 
2735 
3911 
5o86 

6262 

7437 
8612 

9787 
0961 



7333 
8524 

97159834 
' ioa4 

22l5 



5546 
6734 
7923 

91 II 

2674 

386i 

5o48 
6335 
74a I 
86()6 
9792 

0977 
2162 
3346 
453o 
5714 

6807 
8080 
9263 
0446 
1628 



0905 
2096 

3a86 34o5 
4594 



5664 
6853 
8o4a 



p9l 
5173 
6353 
7534 

8714 
9894 
1074 

3253 

343a 

46ii 
5789 



68496967 



8145 
9322 

?'^' 

285a 
4028 
5204 

637^ 
755? 



2565 

3757 



6260 

745a 
8643 



9a3o 9349 



o4i8 
1606 
3703 
3980 

5167 
6353 
753o 
8735 
9910 

1095 
aa8o 
3464 
4648 
583a 

7016 

5^ 

o564 
1746 



a8io 3938 



4109 
5391 

6471 
765a 

883a 
♦01 a 
119a 
3371 
355o 



5907 
7o85 
8363 
9440 

0617 
1793 
3970 
4i46 
53aa 

06497 
67673 



87398847 

9904 

1078 



♦021 
1196 



3684 

3876 



5783 
697a 
8161 



0537 
1735 
391a 
4099 

5a85 
647a 
7658 
8843 
♦039 

iai4 



4767 
5951 

7i34 
83i7 
95oo 
068a 
1864 

3o46 
4aa8 
5409 
6590 

7770 

8950 
oi3o 
i3io 
a489 
3668 



4728 4846 



6oa5 
73o3 
838o 
9557 

0734 
191X 
3087 
4a63 
5439 

66i5 

7790 
8964 

3i3 



5 6 

1610 1730 



7 8 9 



a8o3 



3933 

4ii5 
5307 



638o6499 

7571 
8762 
9953 
ii44 
2334 

35a4 
47i3 
590a 
70or 
8380 



9468 
o656 
1843 
3o3i 
4ai8 

54o4 



8881 
♦07a 
1363 
3453 

364a 
483a 
6oai 
7210 
8398 

9587 

0775 
1962 
3i49 
4336 

5533 



65906709 
7776 7895 



8963 
0147 
i333 
a5i7 
3701 
4885 



60696187 



7a5a 
8435 
9618 
0800 
1983 

3i64 



5537 
6708 



0248 
i4a8 
3607 
3786 

4964 
6i4a 
73ao 
8498 
9675 

o852 
aoao 
3ao5 
438i 
5557 
673a 

7907 
908a 
oa56 
i43o 



18491 
3o4a 
4a34 
54a6 
6618 



78o979a88o48 
900091199339 



3573 

3761 
4951 
61 4o 
7339 
85i7 



9081 
0366 

i45i 
2635 
3830 
5oo4 



0893 
3oBi 
3368 
4455 

564i 
68a8 
8oi3 
91 



1569 
a754 
3938 
5iaa 
63o6 



7371 
8554 



0919 
aioi 

3a8a 



43464464 



5645 
6836 
8006 



90689186930494: 



o366 
1 545 
3735 
3903 

5o83 



7438 
8616 
9793 
0970 
3i46 
3333 



5674 

685o 
8035 

0374 
1 548 



196S 
3i6i 
4353 
5545 
6737 



o3io 

l50T 

3691 



5070 
6a 59 
7446 
8636 



9705 9834 9943 



8673 



973698559973 



1037 
3319 

3401 
458a 
5763 
6944 
81 a4 



o484 
i663 
3843 

403I 

5aoo 



636063786496 



7556 
8733 
991 1 

087 

3364 

3440 



4499461 
579a 



6967 

8i4a 
9317 
0491 
i665 



ao88 
3a8o 
4472 
5665 
6856 



0439 
1620 
a8io 



38803999 



ii3i 

3200 23 1 8 

3387 35o5 



4574 

5760 
6946 
8i32 
9318 
o5o3 

1688 
387a 
4o56 
5a4o 



64a4654a 



74897607 



ii55 
3337 

3519 
4700 
588i 
7063 
8343 



33 
0603 
1781 



53i8 



7674 
885i 
♦oa8 

iao5 
a38a 
3558 



647344851 
59096027 



7085 
8360 



0608 
178a 



5i69 
6378 

7567 
8755 



4693 

5870 
7065 
835i 
9436 
06a I 

1806 

4175 
5359 



7726 
87908908 



♦091 
1373 
a455 

3637 
48i8 

5999 
7180 
836o 

9540 
0730 
1899 



39603078 
4 1 394357 



5435 
6614 
779» 

oi46 
i3a3 



7202 

8377 



94349552 



0726 
1900 



01234 56789 



Diff. 



DiflUbMnlt. 



119 



118 



lao 

240 
36o 
480 
600 
720 
84o 

1080 



357 
476 
595 
714 
833 
952 
1071 



118 
236 
354 
472 
590 
708 
826 
944 
1062 



Diir. 



X 

2 
3 
4 
5 
6 

7 
8 

j: 

Diir.4bMnlt 



LOGARITHMS OF NUMBSRS. 



49 



Num. 

370Q 

oi 

03 

o3 
o4 

o5 
06 

07 
08 
09 

3710 
II 
la 
i3 
i4 

i5 
16 

17 
18 

»9 

3720 

21 

22 

23 

24 

25 

26 

27 

2S 

29 
3730 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

3740 
4i 
42 
43 
44 

45 
46 
47 
48 
49 
3750 
5i 

52 

53 
54 
55 
56 
57 
58 
59 

Nam. 



12 3 4 



5 6 7 8 9 



5682017 
3191 
43^ 
5537 
6710 

7882 

# 9054 

569 0226 

1397 

2568 

3739 

4910 
6080 

7249 
84i 



2i35 
33o8 
4481 
5654 
6827 



o343 
i5i4 
2685 

3856 
5027 
6197 

7366 



98536 

• 95889705 

570 0757 

1926 

3094 

4262 



5429 
6597 
7764 
8930 

571 0097 

1263 
2429 
35o4 
4759 
5924 

7088 

8252 

« 9416 

572 o58o 
1743 

2906 



0874 
2042 

32II 

4379 

5546 
6713 
7880 
9047 

02l3 

1 379 

2545 
3710 



4876 4992 



40694185 



523i 
6393 
75d5 

8716 

•, 9877 
573 io38 

2I< 

33i 

45i8 
5678 
6837 
79 
• 9» 
574o3i3 
1471 
2628 



3786390 
4943- " 

62i5 

7371 
8528 



7256 

84i2 

# 95689683 

575 0723 0839 



7999 81 17 
9171 



0460 
i63i 
2803 

3973 
5i44 
63i4 
7483 
8653 

9822 
0991 
209 
3327 
4495 

5663 
683o 

7997 
9164 
o33o 

1496 
2662 

3827 



6o4o 

7205 
83601 
9533 ( 
o696( 
1859 

3022 



5347 



7671 
8832 



II 

23i4 

3474 



5794 
6953 
8112 
9270 

0428 
1 586 
2744 
3901 
5o56 



2a52 

3426354^ 

45994716 



5772 
6944 



5889 
7062 

8234 
9289 9406 



6i57 

7321 

8485 

9^? 
o8i3 

1976 



3i , 
43oi 
5463 



65096625 



7787 



1270 
2430 
3590 

46344750 



5910 
7069 
8228 



633 1 

7487 
8643 

^4 



1369 ^487 
1543 366o 



0577 

1749 
2920 

4090 
5261 
643i 
7600 

8770 

993? 
1108 
2276 
34^4 
4612 

5780 
6947 
8114 
9280 
0447 
i6i3 
2778 
3943 
5109 
6273 

7438 
8602 
9765 
0929 
2092 

393255 



4417 
558o 
6742 
7903 



♦1090225 



1 386 
2546 
3706 



7i85 
8343 



93869502 

o544 
1702 
2860 
4017 
5i74 



0660 
1818 



4i33 
5290 



7603 



4833 
6006 
7179 

835i 
9523 
0604 
1866 
3o37 

4207 
5378 
6548 
7717 
8887 

♦o56 

1225 

2393 
356i 
4729 
5896 
7064 
823o 
9397 
o563 

1729 
2895 
4o6o 

5225 

6390 

7554 
8718 
9882 
1045 
2208 

3371 
4534 

8019 
9064 9180 

o34i 
i5o2 
266t 

3822 



498a 
6026 6i4i 



73oi 
8459 
9618 

0776 
1934 



2976 3091 



4248 
54o5 



64466562 



7718 



87598874 

♦o3o 

1070 ii85 



3604 
3778 
4951 
6123 
7296 



9640 
0812 
1983 
3i54 

4324 
5495 
6665 
7834 
9004 

0173 
i34i 

25lO 

3678 

4846 

6oi3 
7180 
8347 
95i4 
0680 

i846 
3oii 
4177 
5341 
65o6 

7670 
8834 

9998 
1 162 
a325 

3487 
465o 
58i2 
6974 
8x35 

S?? 

1618 
2778 
3938 

5098 
6257 
7416 
8575 
97M 

0802 
2o5o 
3207 
4364 
5521 

6678 
7834 



2721 

6241 
74i3 

8585 

9757 
0929 
2100 
3271 

4441 
56i2 
6782 
7951 
9121 

0290 
i458 
2627 
3795 
4962 

61 3o 

7297 
8464 
9630 



07960913 



01 46 
i3oi 



2839 
4012 
5i85 
6358 
753o 

8703 
9874 
io46 
2217 
3388 

4558 
5729 



9237 

o4o6 
575 
2743 
391 1 
5o79 

6247 
7414 
858o 

9747 



1962 
3i28 
4293 
5458 
6623 

7787 
8951 
♦ii5 
1278 
2441 



2079 
3244 
4410 
5574 , 
67396855 



360437 



4766 
5928 



8252 

94i3 
0574 
T734 
2894 
4o54 

52i4 
6373 
7532 
8691 



1007 
2i65 
3323 
4480 
5637 

79^0 



8990 9105 



0261 
i4i6 



2956 
4i3o 
53o3 
6475 
7648 

8820 



II 

2334 

35o5 

4675 
5846 
7016 
8i85 



9354 9471 



o523 
1692 
2800 
4028 
5196 

6363 
7530 
8697 
9863 
io3o 

2195 
336i 
4526 
5691 



7903 



023l 

1304 
2557 



0690 
i85o 
3oio 
4170 

533o 
6489 
7648 
8807 



98495965 



1123 

2281 
3438 
4596 
5752 



i532 



3o74 
4247 
5420 
6593 
7765 

8937 
♦109 
1280 
245i 

3622 

47?3 
5963 
7i33 
83o2 



8020 



906791849300 



20 
4882 
6o44 
7206 
8368 

95299645 



o347 
i5ii 
2674 

3836 

7322 
8484 



0806 
1966 
3126 
4286 

5446 
66o5 
7764 
8923 
♦081 



1239 
23o7 
3554 
47" 
5868 

7025 
8665 8181 
9221 
o377 6492 



i647 



o64o 
1809 
2977 
4i45 
53i3 

648o 

7647 
8814 

ii46 
23ia 

3477 
4643 
58o7 
6972 

8i36 



o464 
1627 
2790 

3952 
5ii5 
6277 
7438 
8600 

9761 
0922 
2082 
3242 
44oa 

5562 
6721 
7880 
9039 
0197 

i355 
25i3 
3670 
4827 
5984 

7140 

8206 

9337 94S2 

- 0608 

1763 



Diir. 



117 



116 



Diff*. ^ Mult 



118 
236 
354 
472 
590 
708 
826 
944 
1062 



117 
234 
35i 
468 
585 
702 

936 
io53 



I 


116 


a 


23a 


3 


348 


4 


464 


5 


58o 


6 


696 


7 


8ia 


8 


928 


9 


io44 



I 


ii5 


a 


a3o 


3 


345 


4 


460 


5 


575 


6 


690 


7 


8o5 


8 


920 


9 


io35 



01234 56789 



Diir. 



Diff. iL Molt. 



50 



LO&ABITHMS OF NUMBERS. 



Nam. 

3760 

16i 
6a 
63 
64 

65 
66 

67 
68 
69 

3770 

71 
72 
73 
74 

75 
76 
77 
78 
79 
3780 
81 
6a 
83 
84 

85 
86 

87 
68 

89 

3790 

91 
9a 

t 

98 
99 

38 00 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

38 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

Num. 



12 3 4 



5 6 7 8 9 



576 1878 
3o33 
4188 
534a 



1994 
3i4g 
43o3 
5458 



6496661a 

76507765 
8918 
♦071 
iaa4 
a377 



88o3 

• 9956 

576 1109 
aa6i 

34i4 
4565 

5717 
6868 
8019 

• 9170 

577 o3ao 

1470 
a6ao 
3769 
4918 
6067 
7ai5 
8363 

• 95ii 

578 0659 
1806 
3953 
4ioo 
5a46 

639a 

' 7538 

8683 

• 98a8 
5790973 

aii8 
3a6a 
4406 
555o 
6693 

7836 

• 8979 
58ooiai 

ia63 
a4o5 

3547 
4688 
58a9 
6969 
8110 



35a93644 
4680 4796 491 
583a '' ^ - 
6983 
8i34 



9a85 9400 95 1 5 9630 
0780 



• 

5816389 
i5a9 
2668 
38o7 

4945 
6084 

7aaa 



• 9497 



67376842 



0187 
1339 
2492 



5947 
7098 
8249 



0435 
1 585 
2734 
3884 

5o33 
6182 
733o 
8478 
9626 

0774 
192 1 
3o68 
4ai4 
536 

65o7 
7652 
8798 
9943 
1088 

aa32 
3376 
45ao 
5664 
6807 

7950 

oadS 

1 377 
a5i9 

366i 
48oa 
5943 
7o83 
8aa4 



o55oo665'c 



9a5o 9364 9478 



o5o3 
1643 
a78a 
3931 



5o59 
6107 
7335 



83598473 



aio9 
3a64 
4419 
5573 



7881 



903491499364 



o3oa 
1455 
a6o7 

3759 

666a 
7a 1 3 
8364 



1700 
a849 
3999 
5i48 
6396 
744'') 
8593 
974 

0888 

ao36 

3182 

43a9- 

5475 

66ai 

7767 

8912 

♦057 

1 20a 

2347 
3491 
4635 
5778 
6933 

8o65 
9207 
o35o 
149a 
a633 



3775 
4916 



7197 

8338 



0617 
1757 
3896 
4o35 

5173 
63ii 



2225 

338o 

4534 

5688 



234o 
3495 
465o 
58o4 
6958 



7996 81 II 



0417 
1570 
2722 

3874 
5026 
6177 
7328 
8479 



i8i5 
3964 
4ii4 

5a63 
64ii 
7560 

8708 
9856 

ioo3 
ai5o 
3a97 
4444 
5590 



930 
3o79 
4a 39 

5378 
65a6 
7675 
88a3 
9970 

1 1 18 
aa65 
34ia 
4558 
5705 



6736 685o 



788a 
9037 
017a 
i3i7 

246: 
36o5 

474< 
58o 
7o36 

8179 
9321 

o464 
1606 
a748 



7996 
9141 
oa86 
i43i 

2576 
37ao 
4863 
6007 
7i5o 

8293 
9436 
0578 
1730 
a86a 



38894003 
5o3o| 5 1 44 
6657 6171 6285 
73i2 74a6 
845al8566 



95929706 
0731 0845 
1871 
3oio 



4i48 
5a87 



1985 
3ia4 
4a6a 

5401 



64a5|6539 

7449756317677 

*" 870018814 

961097249838I9951 



i456|257i 



2< 

36ii 
4765 
591 < 

707 



822-/ 834a 
93809495 



o533 
i685 
2837 



5i4 
6292 
7444 
8594 

9745 
0895 
2045 
3194 



2687 
3842 



3726 3842 
4881 
6o35 
7188 



0648 
1800 
2953 



39894105 



5256 
64o8 
7559 



lOIO 

2160 
33?9 



4343 4458 

5492 
664 



5607 

67566871 
7789 7904 8019 



8937 
♦o85 

1233 
238o 
35a6 
4673 
5819 

6965 
8111 
9256 
o4oi 
1 546 

3690 

3834 

4978 

612 

7264 

8407 
9550 
0692 
1 834 



4117 
5a58 
6399 

7540 
8680 

9820 
0959 

3^ 



55i5 
6653 
7790 
8928 
♦o65 



9652 
0200 



280a 
3957 
5iii 
6265 
73047419 



8457 
9610 
0763 
1916 
3o68 

4220 
5371 
6523 

7674 



8573 

97269841 

0878 

ao3i 

3i83 

4335 
5487 
6638 



8709882489399055 



98609975 



ua5 
2275 
34a4 
4573 

572a 



9167 
o3i5 



1 347 1 46a 



a6o9 
3756 
490a 
6o48 

7194 
834o 



2494 
364i 
4788 
5934 

7080 
8aa5 

9370 9485 
o5i5 
1660 



85aa 



0806 
1948 



39763090 



4a3i 
5372 
65i3 
7654 
8794 

9934 
1073 
2aia 
335 1 



o63o 

1774 



2804 
3948 
5092 
6236 
73797493 



8636 



96649778 



4376 4490 



0921 
2o63 
3204 

4346 
5487 
6627 
7768 
8908 

♦o48 
1187 
2326 
3465 
46o4 

5742 
6880 



5628 

6766 

790418018 

9042I9155 

01790293 



2918 
4072 
5227 
638i 
7534 
8688 



2i46, 
3298 

4450 
56o2 
6753 



77897904 



0205 

1 355 
25o5 
3654 
48o3 

595a 

7100 

81348249 



9282 



0429 o544 

1 577 



3734 
3870 
5oi7 
6i63 



4^ 

5207 
635o6464 



8454 
9599 
0744 
I 

3o33 

4177 
5321 



7607 

8750 
9803 
io35 

2177, 
33i8 

4460 
56oT 
6741 
7882 
902a 

0162 
i3oi 
2440 
357Q 
4718 

5856 
6994 

8l32 

926 
o4o 



9397 



1091 
2838 
3985 
5i3i 
6278 



73097423 



8569 
97*4 
o85o 
aooj 

3i48 
4393 
5435 
6579 

7733 



♦007 
it49 
3291 
3432 

4574 
5715 
6855 

^ 

0276 
i4i5 
2554 
3693 
4832 

5970 
7108 
8245 
9383 
o52o 



01234 56789 



Diir. 



DiinatifBh. 



ii5 



116 
a32 
348 
464 
58o 

^ 
811 

928 

1044 



ii5 
23o 
345 
460 
575 
690 
8o5 
920 
io35 



ii4 
aa8 
34a 
456 
570 
684 
798 
912 
1026 



DifT. 



DiCatMnk. 



LOGARITHMS OF NUMBERS. 



51 



3820 

ai 

23 

a3 

24 

a5 

26 
27 
28 
29 

38 3o 

3i 

32 

33 
34 

35 
36 

37 
38 

39 

38 4o 

4i 

42 

43 
M 

45 
46 
47 
48 

49 

38 5o 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

38 6o 
6i 
62 
63 
64 

65 
66 
&7 
68 

69 
3870 

71 

. 72 

73 

74 

75 
76 

77 

78 

79 

Mm. 



12 3 4 



5 6 7 8 9 



582 0634 
1770 
2907 
4043 



51795292 



63i4 

745o 

8585 

• 9719 

583o854 

i< 

3 1 22 
4255 
5388 
6521 

7654 



• 9918 

584io5o 

2181 

33i2 
4443 
5574 
6704 
7834 



6428 
7563 
8698 
9833 
0967 

2101 
3235 
4368 
55oi 
6634 

7767 
8809 
♦o3i 
ii63 
2294 

3425 
4556 
5687 
6817 
7947 



8963 9076 9189 9302 
0432 
i56i 
2689 
38i8 



5850093 
1222 
235 1 
3479 



0206 
1 335 
2463 
3592 



5735 
6863 

7990 
• 91 17 

5860244 
1370 
3496 
3622 



o356 

i483 
2609 
3735 
47484860 



5873 

5998 
8123 

• 9247 
587 0371 

1495 
2618 
3742 
4865 
5987 
7110 
8232 

• 9353 
588^475 

1596 

2717 
3838 
4958 
6078 
7198 



0747 
1884 

3020 

4i57 



0861 

3??4 
4270 
5406 

654i 

7677 



8812 
9946 
1081 

22l5 

3348 
4482 
56i5 
6748 

78807993 



9012 
oi44 
1276 
2407 

3538 



3652 3765 

4669478214895 

59136026 



58oo 
6930 
8060 



o3i9 
i448 
2576 
3705 



4607 4720 4833 



5848 
6976 
8io3 



7110 
8235 
9360 
o484 

1607 

273 

3854 

4977 

6100 

7222 



o587 
1708 

2829 



5070 
6190 



2328 
3462 
4595 
5728 
6861 



9126 
0258 
1389 

2520 



5961 
7088 
8216 



9a3o 9342 



0469 
1596 
2722 
3847 
4973 



59866098 



7223 
8348 
947a 



1720 
2843 



83448456 
9466^578 



0699 
1820 

2941 



39504062 



5182 
63o2 



73107422 



0975 
2111 
3248 
4384 
5520 

6655 
7790 
8925 
♦060 
1 194 



1088 

2225 

336i 

4497 
5633 

6769 
7904 
9o3o 
0173 
i3o7 

2441 

3575 
4708 
584i 
6974 

8107 
9239 
0371 

l502 

2634 



7043 
8173 



4946 
6073 
7201 
8328 
9455 

o582 
1708 
2834 



7i56 
8286 

941 5 
o544 
1673 
2802 
3930 

5o58 
6186 
73i4 
844i 
9568 

0694 



1821 

2947 

39604072 



5o85 

621 1 
7335 
846o 



05960708 

i832 
2955 

39664079 

5089' 

6212 

7334 



520I 

6324 

7446 
8568 



0811 
1932 

3o53 
4174 
5294 
64i4 



5198 

6323 
7448 
857a 



95849697 
'^0821 



1944 
3o68 
4 1 91 
53i4 
6436 

7559 
8680 



96909802 



0923 
2045 

3i65 
4286 
54o6 
6526 



75347646 



i3i6 
2339 2452 
3475 3589 



4611 
5747 

6882 
8017 
9152 
0287 
142 1 

2555 
3688 
4822 
5955 
7087 

8220 
9352 
o484 
i6i5 
2747 

3878 
5oo8 
6139 
7269 
8399 
9528 
0657 
1786 
2915 
4043 

5171 



8554 
9681 

0807 
1933 
3o59 
4i85 
53io 



756o 
8685 



093 

2057 
3i8o 
43o3 
5426 



65496661 



7671 



io36 
ai57 

3277 
4398 
55i8 
6638 
7758 



4725 
586o 

^ 

9265 
6400 
i534 

2668 
38o2 
4935 
6068 
7201 

8333 



3702 
4838 
5974 
7109 
8244 

i648 

2781 
3915 
5o48 
6181 
73i4 
8446 



9465 9578 



0597 
1729 
2860 

3991 

5l2I 

6252 
7382 
85i2 



0710 
1842 
2973 

4io4 
5234 
6365 

749^ 
8625 

9754 



9641, , 
077o|o883 0996 

3o2J 
4i56 



5284 
62996412 
7420 7539 



8666 
9793 
0920 
2o46 

3172 

4298 
5423 

64366548 



7673 

8797 
9922 
1045 



211 
3292 
4416 
5538 



7783 



87938905 



♦026 
ii48 
2269 

3389 
45io 
563o 
6750 
7870 



14291543 
25662680 



38i6 
4962 
6087 

7223 
8358 
9492 
0627 
1761 

2895 
4028 
5162 
6295 

7427 
856o 

^l 
0823 

1955 

3o86 

4217 
5348 



64786591 

7608 

8738 

9867 



2012 
3i4i 
4269 

53^7 
6525 
7652 

8779 
9906 

io32 
2159 
3285 
44 10 
5535 

6661 
7785 
8910 
♦o34 
ii58 



692281 
34o5 
4528 
565i 
6773 



0139 
1260 
238i 

35o2 
4622 
5742 
6862 
7981 



2125 

3253 
4382 

55io 
6637 
7765 
8892 
♦019 

ii45 

2271 
3397 
4523 
5648 

6773 
7898 
9022 
0146 
1270 

2394 
35i7 
464o 
5763 
6885 



78958007 
9017 



9129924 

025l 

1 372 

2493 

36i4 
4734 
5854 
6974 
8093 



i657 
2793 
3929 
5o65 
6201 

7336 
8471 
9606 
0740 
874 

3oo8 
4i42 
5275 
64o8 
7540 

8673 
9805 
0937 
2068 
3199 

433o 
5461 



7721 
885o 

9980 
1109 

2238 

3366 
4494 

5622 

6750 

7877 

9004 

oi3i 

1258 
2384 
35io 
4635 
5761 

6886 
8010 
9135 
0259 
1 383 

25o6 
3629 
4752 
5875 
6997 
8120 

8363 
1484 
2605 



3726 
4846 
5966 
7086 
8205 



01234 56789 



Diir. 



ii3 



Diir. 



Dtff.^Molt. 



I 


114 


2 


228 


3 


342 


4 


456 


5 


570 


6 


684 


7 


798 


8 


912 


9 


1026 



1x3 
226 
339 
452 
565 
678 
791 
904 
1017 



I 


112 


2 


224 


3 


336 


4 


448 


5 


56o 


6 


672 


7 


784 


8 


896 


9 


1008 



1 


III 


2 
3 
4 
5 
6 


222 

333 
444 
555 
666 


I 


777 
888 


9 


999 



DiffiatMolt. 



52 



LOGARITHMS OF NUMBERS. 



Num. 



8l 
8a 
83 
84 

85 
86 
87 
88 
89 

3890 
91 

96 

98 

99 

3900 
01 

03 

o3 

04 

o5 
06 
07 
08 
09 
3910 
II 
la 
i3 
i4 

i5 
16 

17 
18 

'9 

3930 

21 

33 
33 
24 

25 
36 
27 
38 
39 

3930 

3i 

33 

33 
34 

35 
36 
37 
38 
39 

Nam. 



12 3 4 

291854118653,8765 



5 6 7 8 9 



688 8317, . 
• 943695469660977a 
58905550667 ' '^ 

1674 1786 

3793 3904 

3910 4033 

5o38 5i4o 
6145 6257 
7363 7374 



83798491 

• 94969608 
59006(3 
1738 
3844 
39594071 

5i86 
63oi 
74i5 
853o 



0734 
i84o 
3956 



5075 
6189 
73o4 
84i8 
• 9533 

591 0646 
1760 
3873 
3986 
5098 



9644975598669978 



0757 
1871 
3984 
4097 
5309 



6310 6322 



7322 
8434 



7434 
8545 



95469657 



592 0657 

1768 
3878 
3988 
5098 
6308 

73x8 

8427 

• 9536 

5930644 

1753 

3861 
3968 
5076 
6i83 



7290 74oi 



8397 

• 95o3 

5940609 

I7l5 

3830 

3926 
5o3o 
6i35 



85o7 
9614 
0720 
1825 
2931 

4o36 
5i4 
6246 
72397350 
83448454 
9447 9558 



595 655 1 
i654 
2757 
386o 



8714 
97199831 
08360947 



1951 
3067 
4i83 

5398 
6413 
7537 
864i 



08690980 



1983 
3095 
4208 
5321 

6433 
7545 
8656 



0768 

1879 
2989 



976898799990 
08790990 



409942 

5209 

63i9 



7429 
8538 
9647 
0755 
i863 

2971 
4079 
5187 
6294 



0661 
1764 
2867 



0770 
189S 
3oi6 

4i34 
425i 
6369 
7486 
86o3 



5363'5475 

648 

7598 



2o63 

3i79 

4294 

54095521 

65246635 



7638 
8753 



2093 
3207 
4319 
5432 

6544 
7656 
8768 



1990 
3ioo 



10 
5320 
643o 

7540 



9757 
0866 

3082 
4190 
5297 
64o4 
75ii 

8618 
9724 
o83o 
1936 
3o4i 

4t47 

525 

6356 

7460 

8564 



0772 
1875 
3978 



39704080 



0891 

300C 
3l3^ 

4246 



ioo3 

3I3I 
3239 

4357 



IO9I 
22o5 

33i8 
443i 
5543 

6655 

7767 
8879 



2101 

32II 

4321 
543i 
654i 



7650 7761 
864987608870 



9868 

>977 
2o85 

3193 
43oi 
54o8 
65i5 
7622 



9835 
094 
2046 
3i52 



5362 
6466 
7571 
8675 



0882 
1985 
3o88 
419^ 



6593 
7709 
8836 

9943 
1059 
3175 
3290 
4406 



775o 
8864 



IIOI 

2213 
3323 

4433 
5542 
6653 



3196 

33o4 
44ii 
55i9 
6626 

7733 



87298839 



9945 
io5i 
2i57 
3262 



4257 4368 



547a 
6577 
7681 
8785 



97789889 



0992 
2095 
3198 
43oT 



8877,8. 
9996- 



iii5 

2233 

335 1 



5587 
6704 
7821 
8938 

♦o54 
1170 
2286 
3402 
4517 
563? 
6747 
7861 
8975 
♦089 

I203 

23i6 



1227 
3345 
3463 

458i 
5698 
6816 
7933 
9049 

0166 
1282 
2398 
35i3 
4629 

5744 
6858 
7973 
9087 
0201 

i3i4 

2427 



3439 3540 



4543 
5654 



4653 
5765 



67666878 
7878 



8990 
♦101 

I3I3 

3323 
3433 
4544 

5653 
6763 

7872 



1 1 99 
23o7 

34r5 

4522 



7843 



♦o56 
1162 
2368 
3373 

4478 
5583 
6687 

7792 



999? 
iio3 
3906 
33o8 
4411 



9101 
03 20 
1 338 
2457 
3575 

4693 
58io 
6927 
8044 
9161 

0377 
1394 
25o9 
3635 
4740 

5855 
6970 
8084 
9198 
o3i3 

1436 
2539 

365a 
4764 

5877 



79898 



69897 



9101 
0212 
i323 

3434 
3544 
4655 
5764 



7983 
909a 
♦0900301 



1 309 
3417 

3525 
4633 



563o 5740 
6737 



7954 



89609060 



0167 
1273 
2378 
3483 

4588 
5693 
6798 
790a 



88959606 



♦no 

iai3 

23i6 

341 

4521 



93139335 
o332Jo443 
i45o 1 562 
35693680 
3687J3798 

48o4'49i6 
5922:6634 
7o39'7i5i 
8156.8268 
9273J9384 
03890601 
i5o5 1617 



2621 
3736 
4852 



7081 
8196 
9310 
0423 

1537 
265o 2761 



48764987 
59886699 



lOI 

9212 
o323 
1434 

2545 
3655 
4766 
5875 



1007311 
8313 8323 
9323I9434 
0434 o546 
i545 i656 



68746985 



8094 



o3i2 
1420 
2628 



4744 
585 r 



68476968 



8o65 

9171 
0277 
r383 
2489 
3594 



58o4 
6908 
8012 
9116 

0330 

i323 
3426 



4632 



2732 
3848 
4963 



59676078 



7193 
83o7 
9421 
o535 



3763 



3874 



2656 

3766 
4876 



7096 

83o5 

93639314 

" 0433 

53 1 



69866697 



7307 

83i6 
9435 
o633 
1643 



3639 3760 



3636 3747 



4854 
6963 
7069 
8175 

938a 
o388 
1494 
3599 
3704 



4699 4809 4930 



5914 
7010 
8i33 
9337 

o33o 
1434 
3537 



9 3539 3639 3760 



474a 



3767 
3877 
4987 



3858 
4966 
6673 

7179 
8386 

9393 
0498 
1604 
3710 
38i5 



6oa5 
7139 
8333 
9337 

o44i 
1 544 
3647 



485a 



1234 56789 



Dtir. 



Ditf. & MnU. 
I 

a 
3 
4 
5 
6 

7 
8 



Diff. 



DiCatMolU 



LOGARITHMS OF NUMBERS. 53 1 


Nam. 
3940 


12 3 4 


5 6 7 8 9 


Diff. 


DiflT.A&Hult. 1 


595496a 


5072 


5i83 


5293 


54o3 


55i3 


5624 


5734 


5844 


5954 




I 


no 


4i 


6064 


6175 


6a85 


6395 


65o5 


66i5 


6725 


6836 


6946 


7o56 




2 


220 


4a 


7166 


7276 


7387 


7497 


7607 


7717 


7827 


7937 


8047 


8i58 




3 


33o 


43 


8a68 


8378 


8488 


8598 


8708 


8818 


8929 


9039 


9149 


9259 




4 


440 


44 


• 9369 


9479 


9589 


9699 


9810 


9920 


♦o3o 


0140 


025o 


o36o 




5 


55o 


45 


5960470 


o58o 


0690 


0800 


0910 


1020 


ii3i 


1241 


i35i 


i46i 




6 


660 


46 


1571 


1681 


1 791 


1 901 


aoii 


2121 


aa3i 


a34i 


245i 


a56i 




7 
8 


770 


47 


3671 


2781 


a89i 


3601 


3iii 


3221 


333i 


3441 


355 1 


366i 




880 


48 
49 


377^ 
4871 


388i 
4981 


3991 
5091 


4ioi 
5201 


4aii 
53ii 


4321 
5421 


443i 
553i 


4541 
5641 


465i 
5751 


4761 
586i 


no 


9 


990 




3950 


5971 


6081 


6191 


63oi 


64ii 


6521 


663i 


6741 


685o 


6960 




. 


5i 


7070 


7180 


7200 


74oo 


75io 


7620 


7730 


7840 


7950 


8059 
91 58 
oa57 






5a 
53 


8169 
• 9a68 


8270 
9378 




849? 
9596 


8600 
9708 


8719 
9817 


88a9 
9927 


8939 
♦o37 


9048 
0147 






54 


5970367 


0476 


o586 


0696 


0806 


0916 


ioa6 


ii35 


u45 


i355 






55 


i465 


1575 


1684 


1794 


1904 


20l4 


aia4 


2233 


2343 


a453 






56 


2563 


2673 


a78a 


2892 


3oo2 


3lI2 


3221 


333 1 


3441 


355i 






57 


366i 


3770 


388o 


^, 


4099 


i^ 


4319 
5416 


4429 


4538 


4648 






5a 


4758 


4868 


4977 


5197 


5526 


5636 


5745 






59 


5855 


5965 


6074 


6i84 


6294 


64o3 


65i3 


6623 


6733 


684a 






3960 


695a 


706a 


7171 


7281 


73oi 
8487 


75oo 


7610 


7719 
8816 


7820 
8925 


'^ 






61 


8o48 


81 58 


8a68 


8377 


8597 


8706 






63 


• 9^5 


9^54 


9364 


9474 


9583 


0789 


9802 


9912 


♦022 


oi3i 






63 


598 0241 


o35o 


o46o 


0569 
i665 


'^t 


0898 


1008 


III7 


iaa7 






64 


1336 


1446 


1 556 


1884 


1994 


2io3 


aai3 


a3aa 






65 


243a 


2541 


265 1 


2761 


2870 


2980 


3089 


3199 


33o8 


3418 






66 


35a7 


3637 


3746 


3856 


3965 


4075 


4i84 


53^8 


44o3 


45i3 




I 


l"^ 


67 


46aa 


473i 


484i 


4950 


5o6o 


5169 


5270 
6373 


5498 


5607 




2 


68 


5717 


5826 


5936 


6045 


61 54 


6a64 


6483 


6592 
7686 


670a 




3 


3a7 


69 


6811 


6920 


7o3o 


7139 


7249 


7358 


7467 


7577 


7796 




4 


436 


3970 


7905 


8014 


8124 


8233 


8343 


845a 


856i 


8671 


8780 


8890 
99§3 




5 


545 


71 


8999 


9108 


9218 


9327 


9436 


9546 


9655 


9764 


9874 




^ 6 


654 
763 
87a 


?3 


^?X 


020a 
1 395 
a388 

3481 


o3ii 
i4o4 


0420 
i5i4 


o53o 
1623 


0639 
i73a 


0748 
i84i 


o858 
1951 


0967 
ao6o 


1076 
ai69 




I 


74 

75 


2279 

3371 


2497 
3590 
4682 


a6o6 
3699 


2716 
38oS 


a825 
3918 


2934 
4027 


3o44 
4i36 


3r53 
4a45 


3a6a 
4355 




9 


981 




76 


4464 


4573 


4791 
5884 


4901 


5oio 


5119 


52a8 


5338 


5447 






77 


5556 


5665 


5774 


59g3 
7084 


6102 


621 1 


63ao 


64a9 


6539 






78 


6648 


6757 


6866 


6975 


7194 
8285 


73o3 


74i2 


75a I 


763o 






79 


7739 


7849 


7958 


8067 


8176 


8394 


85o3 


86ia 


8732 






3980 


883i 


8940 


9049 


91 58 


9??Z 


9376 


9485 


2^ 


9704 


9813 






81 


• 99" 


♦o3i 


oi4o 


oa49 


o358 


0467 


0576 


0794 
i885 


0903 






8a 


6ooioi3 


1122 


I23l 


i34o 


1449 


i558 


1667 


1776 


\X 






83 


2io3 


2212 


2321 


a43o 


2539 


2648 


2757 


a866 


2975 






84 


3193 


33o2 


34II 


35ao 


3629 


3738 


3847 


3956 


4o65 


4174 


109 




85 


4283 


439a 
548a 


45oi 


4610 


4719 


4828 


4937 


5o46 


5i55 


5264 






86 


5373 


5591 
6680 


5700 


5809 


5918 


6027 


6i36 


6a44 


6353 






87 


6462 


6571 


6780 

7878 


6898 


7007 


7116 


7aa5 


7334 


7443 






88 


755 1 


7660 


7769 
8858 


7987 


8096 
9185 


8205 


83i4 


84a3 


853i 






89 


864o 


8749 


8967 


9076 


9294 


940a 


951 1 


9620 






3990 


# 9729 


9838 


9947 


♦o55 


0164 


0273 


o382 


0491 


0600 


0708 






9» 


601 0817 


0926 


io35 


n44 


1253 


t36i 


1470 


1 579 


1688 


1797 
2884 




T 


108 


9? 


1905 


20l4 


21 a3 


2a3a 


2340 


2449 


2558 


a667 


a776 




2 


216 


9^ 


^ 


3ioa 


321 1 


3319 


3428 


3537 


3646 


3754 


3863 


3972 




3 


'324 


94 


4189 


4298 


4407 


45i6 


4624 


4733 


4842 


4950 


5o59 




4 


432 


^ 


5i68 


5a77 


5385 


5494 
658i 


56o3 


571 1 


5820 


5920 
7016 


6037 


6i46 




5 


540 


96 


6a55 


6363 


6472 


6690 


6708 
7885 


6907 


7124 


7233 




6 


648 


97 


7341 


745o 


^! 


7667 


7776 


7993 
9080 


8102 


8aii 


83i9 
94o5 




7 


l^. 


98 


8428 


8537 


8754 


8862 


8971 


9188 


T3 




8 


864 


99 

Num. 


• 95i4 


96a3 


9731 


9840 


9948 


♦o57 


0166 


0274 


0491 




9 


972 


12 3 4 


5 6 7 8 9 


Difl*. 


Dift^MuH. 1 



54 



LOGARITHMS OP NUMBERS. 



Num.. 

4000 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 

09 
4010 
II 
la 
i3 
U 

i5 
16 

\l 

»9 
4oao 
ai 
aa 
a3 
24 

a5 
a6 

2-7 
28 
39 

4o3o 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 

40 4o 

" 4i 

42 

43 

44 

45 
46 

47 
48 

49 
46 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

Nan. 



1 2 



5 6 7 8 9 



603 0600 

1686 

3771 

/ 3856 

4941 

6oa5 

7100 

81931 

• 9277 

6o3o36i 



1444 

a5a7 



36093717 



469a 
5774 

6855 

79^7 
9018 

6o4oog 

a 261 

3341 
4421 
55oo 
658o 



4800 
5882 

6964 
8045 
91 a6 
oao7 
1288 



98169924 



765o 

8738 

# 

6056895 

1973 

3o5o 
•4128 
5ao5 
628a 
73597. 



8435 

• 951 a 

6060587 

i663 

2739 

38[4 



596: 
7037 
8111 

• 9185 

6o7oa59 

i332 

a4o5 

3478 



56aa 

7766 
8837 

6080979 
2o5o 

3l20 

419 



0708 

1794 

a879 



0817 

1903 

3988 

39644073 



5o49 5i58 

6i346a42 
73a6 
84io 
^94 



7ai8 
83oa 
9385 



0469 o577 

1660 
2743 
38a6 
4908 



1 552 
2635 



59906098 



707a 
8i53 
9235 
o3i5 
396 

369|a477 



a. 

3449 
45a 



6688 

7767 
8846 



1 00a 
ao8o 

3i58 
4336 
53i3 
6390 

7467 

8543 

& 

1771 
a846 

39a I 

6071 
7145 
8ai9 

Sli 

1439 
a5i2 
3585 



3557 
4637 
5716 
67966903 

7983 

1 

6i4o 

13l8 



7875 
8953 966; 
♦o32 
mo 
ai88 



0473 

547 

2620 

3692 

455o 4657 47^5 



5730 
6802 

7873 



♦016 
1087 
2157 

3237 

4298 



635i 

7435 



85198627 



9602 
0686 

1769 
285i 
3934 
5oi6 



71807288 



8261 
9343 
0424 
i5o4 

2585 
3665 
4745 
5824 



4343 
54a I 
6498 

7574 

865i 
9727 
o8o3 
1878 
2954 

4020 

5ioj: 
6178 
7a5a 
83a6 



5837 
6909 
7980 



8945905a 



oia3 
1194 
aao4 
3334 
44o4 



0936 
aoii 
3096 
4i8i 



5a66 5375 



645o 
7543 



971 

0794 

1877 
3960 
4o4a 
5ia4 
6206 



8370 
945i 
o532 
1612 

2693 

3773 
4853 
5932 
7011 

80QO 
9160 
oa48 
i3a6 



3396 a4o4 



3a66 3374 



445i 
55a8 
66o5 
768a 



8758 
9834 
0910 
1986 
3o6i 



5aii 
6a85 
736o 
8434 



9400 9507 96; 



o58i 
i654 
3737 
38oo 

487a 
5944 
7016 
8087 
9159 

oa3o 
i3oi 
2371 
3441 
45ii 



io34 
aiao 
3ao5 
4290 



3482 
4559 
5636 
6713 

7790 



8866 
9942 
1018 

3169 
4i364244 



53i8 
6393 
7467 
854i 



i5 
0688 
1761 
2834 
3907 

665 1 
7123 
8195 
9a66 

0337 
i4o8 
a478 
3548 
46i8 



1 143 



aaa8 a337 



33i3 

4: 
'\3 



6567667667846893 



765i 
8735 

9819I9927 
090a 



7760 
8844 



1985 
3o68 
4i5o 
5a33 
63i5 

7396 
8478 



ao93 
3176 
4a594367 



5341 
64a3 

75o4 
8586 



955996679775 



0640 0748 



i7ao 

a8oi 
388i 
4961 



6o4o6 

71197237 



7335 

^19883068414 
9277 
o355 
434 
a5ia 



5744 
68a I 

7897 



♦o5o 
iia5 
aaoi 



435i 
54a6 



97aa 
0795 
1869 
2941 



4oi44 



5o86 
61 58 
7a3o 
83oa 



0444 
i5i5 
a585 
3656 
4725 



ia5i 



34aa 
4507 
5591 



5449 
653i 

7613 
8694 



i8a8 
i48 



08560964 



6a566364 



9385 
o463 
i54i 
3619 

35893697 

46674774 



585 

6938 

8oo5 



89749081 
oi57 
1333 
33o8 



33763384 



445o 
5533 



65oo66o8 

7574 



768a 
8756 

9830 
0903 
1976 
3o49 
'lai 



5iq4 
6366 

7337 
8409 



937394809587 



o55i 
i6aa 
3693 
3763 
4833 



i36o 
3445 
353o 
461 5 
5700 



4724 
58o8 



895a 
♦o36 
1119 

aaoa 
3284 



7977 



483a 
5917 

7001 
8o85 
90609169 
oa5a 
i335 

2418 
35oi 
4583 
5665 



oi44 
1227 

a3io 
3393 
4475 
5557 



66396747 
7829 



7721 
8802 
9883 



1936 

3017 

4097 
5176 



2044 

3ia5 
42o5 
5284 



7443 

8522 



94939601 



0571 
1649 

2727 

38o5 
4882 



863o 

9708 
06790787 



564i 
6715 
7780 
8863 

9937 

lOIO 

ao83 
3i56 



53oi 



7445 
85i6 



o658 
1729 
2799 
3870 



I 
3554 



36393747 



8910 

999« 
1073 

3l53 

3a33 
43i3 
539a 

6472 
755i 



1757 
3835 

3913 



7144 

83 30 



0373 

,448 

3533 



8113 

oa65 
i34o 
a4i6 
3491 

45664674 

'^' 5748 
68a3 
7897 
8971 



1117 
3190 
3363 



4aa9 4336 4443 



54o8 



6373 648o 6587 



7553 
86a3 



0765 
i836 
3906 

3977 



493950465 



1577 

3663 



i865 
2943 

4030 

6067 6175 



7a5i 
83a8 



93969464 



o48o 
1 556 
a63i 



35993706 

4781 
5856 
6930 
8004 
9078 



♦o44oi5i 



1325 

2298 
3371 



55x5 



7659 
8730 



9694 980] 
0872 



1943 
3oi3 
4084 
"i53 



12 3 4 5 6 7 8 9 



DiC DiKlbMah. 
— - 

3 

3 
4 
5 
6 

7 
8 

9 



108 



107 



DiC 



I 
a 
3 
4 
5 
6 

7 
8 

DUribMalt 



LOGARITHMS OF N XT M B E R S . 



55 



Nnk 

406O 

6i 
61 
63 
64 

65 
66 
67 
68 
69 

4o 70 
71 
72 
73 

74 

75 
76 

77 
78 

79 
4080 
81 
8a 
. 83 
84 

85 
86 

87 
88 

»9 

4090 

9« 
92 

98 

99 
4i 00 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 
4i 10 
II 
la 
i3 
i4 

i5 
16 

17 
x8 

19 

Nan. 



^ 2^ 



1 

608 5a6o 5367 
633o6437 



2 3 4 



6 6 7 8-9 



• 953796449751 



609c 



74 
a74a 
3809391 



4877 

5944 
701 1 
807b 

• 9144 
61003 10 

1276 
a34a 
3407 
4472 
5537 

teoa 
7666 
8730 

• 9794 
6110857 

X921 
2984 
^4o46 
5109 
6171 

7233 
8295 

• 9356 
6iao4i7 

1478 

a539 

3r 



071a 
1781 
a84o 
- 16 
4984 

6o5i 
71 18 
8184 
9a5i 
o3i7 

i383 
2448 
35i4 
4579 
5644 

6708 

777a 
8836 

0964 

aoa7 
3090 
4i53 
52i5 
6a77 



894: 



783o 
8808 

A%9957 
6i3 ioi5 

2074 

3i3a 

4i 

5247 

63o4 

736i 

84i8 

• 9475 

6i4o53i 

i587 

a643 



3698 
4754 



79'8 



75o6 
8575 



08x90926 

1887 

2955 

4o23 

5090 

6x57 
72a4 
8391 

9357 
o4a3 



a55i 
3620 
4685 
5750 

68x5 

7870 
" (3 
♦007 
1070 

2i33 



84o: 
9462 
o524 
1 564 

2645 



5720 
67796885699; 



7944 
9004 
♦062 
iiai 
ai79 

3237 
295 
5353 
64io 
7467 
8524 



0637 
1693 
2748 

38o4 

4859 

5914 

696 

80a; 



5474 



65446651 



7613 
868a 



12 
4i3o 
5x97 

62646371 



733x 
8398 
9464 
o53o 



532 



6921 
7985 
9o4q 
oii3 
1 176 

a 240 
33o2 
4365 
5428 



73397445 



85o7 



o636 
1691 

2751 
12 



370638 
47664872 
5826 5931 



8o5o 

91 

01 

1227 

2285 

3343 

44oi 
545o 
65x6 
7573 
863o 



95809686 



0742 
^854 

4859496? 
6020 

7074 

8X21 



558x 



77207827 



8780 
9858 



I 

3727 



7438 
85o4 
9571 
0637 

1702 
2768 
3833 
4898 
5963 

7027 
809a 
9x56 
0219 
1283 

2346 
3409 
4471 
5534 



638464906596 



7552 
86i3 



9569 9675 



0736 

1797 

2857 
3918 
4978 
6o37 
7097 
8x56 
9215 
0274 
1 333 
239X 

3449 

4507 

5564 

662 

7678 

8735 

9792 
o848 

1904 
2960 

4oi5 
5070 
6x25 
7180 



98234 



5688 
6758 



8896 
9964 
io33 

2X0X 

3x69 
4236 
53o4 



7658 
8719 
9781 
0842 
1903 

2963 
4024 
5o84 
6x43 
7203 

8262 
932X 
o38o 
1439 
2497 

3555 
46i3 
5670 
6727 
7784 
884x 

0954 
2009 
3o65 

4X21 

5176 
623 1 

7285 
834o 



6972 
,79348041 



9603 
♦071 

xi4o 
a 208 
3276 
4343 
54xx 



64786584 



7544 
86x1 
9^7 
0743 

X809 

2874 
3940 
5oo5 



765x 
87x8 
9784 
o85o 

19x6 
298X 
4o46 
5x11 



60696x766282 



7134 
8iq8 
9262 
o326 
1389 

2452 
35x5 
4578 
564o 
6702 

7764 
8826 
9887 



83o4 
9368 
0432 
X495 

2558 
3621 



46844790 



2009 

3069 
4i3o 
5190 
6249 
7309 

8368 
9427 
o486 
i544 
2603 

366i 
4718 
5776 
6833 
7890 

8947 
♦oo3 
1059 

2Il5 

3x7x 

4226 
528X 
6336 
7391 
8445 



9x10 
0178 

X246 
23x5 
3382 



oa85 

i353 
a42i 
3489 



44504557 



55x7 



77: 
8824 



&m 



0956 

2022 
3o88 
4x53 
52x8 



72407347 



84x1 
9475 
o538 
1602 

2665 
3728 



21X5 

3x75 
4236 
5296 
6355 
74x5 

8474 

16! 
2708 

3766 



588i 
6939 
7996 
9052 
0x09 
1x65 
2221 
3276 

4332 
5387 
6442 
74?6 
855o 



7071 
8x48 
92169323 



5634 



0392 

i46o 
2528 
3596 
4663 
5731 



943o 
0499 

i567 
2635 
3703 
4770 
5837 

6904 

7971 
9037 
♦io4 
1170 

2x292235 
3104'"^ 
4259 
5324 



63896495 



5746 
6808 

7870 
8932 

9993 ^099 
io54 1 160 



5852 
69x5 

7976 
9o38 



7453 
85x7 
9581 
0645 
1708 

2771 
3834 
4896 



222X 

3281 
4342 
5402 
6461 
7521 

858o 
963. 



2814 
3872 



48244930 



5987 
7044 
8101 



4437 
5492 

6547 
7602 
8656 



61 16 6223 

7x85 

8254 



7t 
8931 



5959 6o65 



7021 

8082 
9144 

0205 

1266 

2327 

3387 
4448 
55o8 
6567 
7627 

8686 



o8o3 
X862 
2920 

3978 
5o36 
6oo3 
7i5o 
8207 



91589263 

02X4 

1270 
2326 
3382 



o32o 

1376 
2432 
3487 

4543 
5598 

6652 

7707 
8761 



7292 
836x 



33ox 
4366 
543i 



7560 
8624 
9687 
0751 
i8i4 

2877 
3940 
5oo3 



7x27 

8189 
9250 
o3ii 
1372 
2433 

3493 
4554 
56i4 
6673 
7733 

8792 



9745 9851 
3026 



4084 
5i4x 

83x3 

0425 
1482 
2537 
3593 



5703 
6758 
7812 
8867 



DiflT. DifT. iL Mult. 



106 



107 
2X4 
32X 

428 

535 
642 

749 
856 
963 



I 


106 


2 


212 


3 


3x8 


4 


4a4 


5 


53o 


6 


636 


7 


742 


8 


848 


9 


954 



xo5 
2x0 
3x5 
420 
525 
63o 
V35 
84o 
945 



1234 56789 



DifT. 



DifT. & Mult. 



5J 



LOGARITHMS OF NUMBERS. 



Num. 
4120 

31 
32 
33 
24 

35 
36 
37 
38 

39 

4i3o 
3i 

32 

33 
34 

35 
36 
37 
38 
39 

4i4o 
4i 
43 
43 
M 

45 
46 
47 
48 

49 

4f5o 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

4i6o 
6t 
62 
63 
64 

65 
66 
67 
68 
69 

4i 70 

71 
73 

73 
74 

75 
76 
T? 
78 
79 

Num. 



1 2 3 4 

014 897219078 9183 9288 9394" 
6i5 0026,0132 oa37 o342|0448 
1080 ii85 I29r[i396 i5oi 
233923441344953555 



3i33 
3187 

4340 
5392 
6345 

7397 



3293 3397 

4345*4450 
5397 55o3 
645o6555 

75o2 7607 



8449855486598764 



• 9501 

6i6o552 

i6o3 

2654 



35o2 

4555 
56o8 
6660 

7712 



9606 971 1 

065710762 
17081813 
27592864 



3705 3810,3915 



9816 
0867 
1918 
2969 3o74 



4755 
58o5 
6855 
7905 
8954 

6170003 

I052 
2IOI 

3i49 
4197 
5345 



486o|4965 
5910,6015 
69607065 



80 
9059 

0108 
1 1 57 
3306 
3254 
43o3 

535o 



6293 6398 



7340 
8387 



7445 
8492 



9434 9539 



618 0481 
1527 
a573 
3619 
4665 

5710 
6755 
7800 
8845 



# 98899994 



6190933 

1977 

302I 

4o64 
5 107 



6i5o6254 



7io3 
8235 
9277 



7207 

8339 

9381 

62063190433 



o586 
1 633 
2678 
3724 
4769 

58i5 
6860 
7905 



8ii5 
9'64 

02 1 3 
126? 

23ll 

3359 
4407 

5455 
65o2 
755o 
8597 
9644 

0690 
1737 
2783 
3828 
4874 



59, 

6964 
8009 



io38 
2082 
3i25 
4i68 

5212 



i36i 
2402 
3443 
4484 
5524 



i465 
25o6 

3547 
4588 
5628 



6565166696773 

7605I7709 

8645:8749 

• 9684I9788 

621 07240828 



4o2o 

5070 
6120 
7170 
8220 



8949 9054 
' 098 



1 142 

2186 

3229 

4273 

53i6 

6359 

74oi 
8443 
9485 
o527 

1569 
2610 
365 1 
4602 
5733 



7813 
8853 
9802 
0933 



36o8 

4661 
571 3 
6766 
7818 
8870 

9921 

0972 
2024 



9269 9374 



o3i8 
1 367 
241 5 
3464 
45i2 

556o 

6607 
7655 
8702 
9748 

0795 
i84i 
2887 
3933 
4979 



96024 



7069 
8114 
91 58 
0202 

1246 
2290 
3334 

4377 
5430 

6463 
75o5 
8548 



1673 
3714 
3755 
4796 
5837 

6877 
7917 

8957 
10 J 5 



4i35 

5175 
6235 

7275 
8325 



0433 

147a 
2 520 
3569 
4617 

5664 
6713 
7759 
8806 
9853 

0900 
1946 
3903 
4o38 
5o83 

6138 
7173 
8218 
9263 
o3o7 

i35i 
2395 
3438 
448i 
5524 

6567 
7610 
8653 



07J 

1777 
3818 
3859 
4900 
5941 

6981 
803 1 
9061 
♦100 
1 139 



56 7 8 9 

9490 9605 97 1 o 98 1 5 993 1 
o553 o658 0764 0860 0975 



1607 
3660 
3713 

47^4871 



17651387 
38 1 8 3924 



58i8 
6871 
7933 
8975 

♦036 
1078 
2129 
3i79 



1712 1817 



4976 
5924 6029 



6976 
8028 



7081 
8i33 



90809185 



oi3 
ii83 

2234 

3284 



423o]4335 



5280 
633o 
738o 
843o 
9479 
o528 
1 577 
3635 
3673 
4721 

5769 
6817 
7864 
891 1 
9958 

ioo4 
2o5o 
3096 
4142 
5i88 

6233 
7278 
8333 
9367 
o4ii 

1455 

3499 
3542 
4586 
5629 

6671 

7714 
8756 

nf 
0840 

1881 
3933 
3963 

5oo4 
6045 

7085 
8135 
9165 
0204 
1243 



40294134 



61346339 



0337 
1388 
2339 
3390 
4440 



7186 
8338 
9390 

o343 
139,3 
2444 
3495 



5385 5490 
6435 654o 



7485 
8535 



958496899794 



o633 
1682 
2730 
3778 
4826 

5874 
6921 
7969 
9016 
♦062 

1109 
2i55 

320I 

4347 

5292 

6337 
7382 
8427 
9471 
o5i6 

i56o 
2603 
3647 
46oo 
5733 

6776 



0738 
1786 
2835 
3883 
4931 

5979 
7036 
8073 
9130 
0167 

I3l3 

3360 
33o6 
435 1 
5397 

6443 

7487 
853i 



7818 
8860 
9903 
0944 

1985 
3o37 
4068 
5io8 
6149 

7189 
8339 



i347 



7590 
8639 



5595 

6645 
7695 
8744 



0630 

1664 

3708 

375 

4794 

5837 

6880 
793 



♦606 
io48 

3i3i 
4172 

5313 

6353 
83: 

9373 

o4i3 
i45t 



1923 
2976 



5o83 



2028 
3o8i 



5187 



4545 465o 



0843 

189 

2940 

3988 

5o36 

6o83 
7i3i 
8178 
9225 

0272 

i3i8 
2364 
3410 
4456 
55oi 



65466651 



7591 
8636 



9576 9680 



1768 
2812 
3855 



5943 

6984 
8037 



896490699173 



OIII 
Il53 

2194 
3335 
4^ 
53i6 
6357 

73q7 
8437 



o5i6 
1 555 



7392 
8344 
9395 

0447 
1498 
2549 
36oo 



5700 
6750 
7800 



9899 

0947 
1996 
3o45 
4093 
5i4i 

6188 
7236 
8283 
9330 
0376 

r423 
2469 
35i5 
456o 
56o6 



7696 

8740 

9785 

0725 0829 



1873 
2916 
3960 
5oo3 
6o46 

7088 
8i3i 



02l5 

1256 

3398 
3339 
438o 
54ao 
646i 

75oi 
854i 



9476 9580 



0630 
1659 



12 3 4 



5 6 7 8 9 



DifT. 



io5 



io4 



Ditr. 



OifT. St Muiu 

I 

2 

3 
4 
5 
6 

7 
8 

9 



I 

a 
3 
4 
5 
6 

7 
8 

_9 

Diffl iL Mnlt. 



LOGARITHMS OF NUMBEES. 



57 



NiuD. 12 3 4 

4180 

8i 
8a 
83 
84 



5 6 7 8 9 



Diir. 



Diff.^Kalt. 



85 
86 
87 
88 

89 

4190 
91 

98 
99 
4a 00 
01 
oa 
o3 
o4 

o5 
06 

07 
08 

09 
4a 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

4a ao 
ai 
aa 
a3 
a4 

a5 
a6 

27 
38 
a9 

4a 3o 
3i 
Sa 
33 
34 

35 
36 

37 
38 

39 

Noi. 




7o58 716a 
8aoo 



5a49 535a 



6a84 

73ao 

8355 

• ^ ^ 

6a3 64a4 

1459 



6388 

7423 

8458 

93909493 

'o5a8 

1 56a 

3596 
363o 



a493 
3527 
456o 
5594 
66a7 

7660 

8693 

• 9725 

6a4 0757 

1789 

a8ai 
385a 
4884 
5915 
6945 



46644767 



6730 

7763 

, 8796 

9725 9828 

- 0861 

1892 



4987 
6018 
7048 

79768079 
9006 



1066 
ao95 

3i25 



5i8a 
621 1 



7239734: 



8267 

• 9395 

6a6 o3aa 

x35o 

a377 



34o4 35o6 
443o4533 



5457 
6483 
7509 

8534 

6276585 
1610 
a634 



1971 
3009 
4o48 
5o86 
61 a4 



7a66 
83o3 
9337 9341 
0378 
i4i5 



64420 



68346937 



7867 



6964 
I 



625 oo36 0139 oa4a 



1160 
3198 

3227 



/333o 

4x5442564359 

" )5388 

i64 

«7445 



5285 
63i4 
a 



o4a5 
1453 
a48o 



551 

6581 

7611 

8637 

o56oa66a 

— 0687 

171a 

2737 



3075 
3ii3 
4i53 
5190 
6328 



345i 
3487 
4524 
5559 
6595 

76307734 



8665 



97009804 



58oi 



0735 
1769 

2803 
3837 
4871 



3924 3io27 



395640594162 



8183 
9109 9313 



1373 
33oi 



8370 8473 



o538 
1 555 

3582 



3178 
3317 
4256 
5394 
6333 

7370 
8407 
9444 



0483 
5i8 

3555 
3591 
4637 
5663 
6698 



8769 



0838 
187a 

3906 
3940 
4974 



59046007 
7040 



7970 
9003 
♦o35 
1067 



9962099 



8073 
9106 
oi38 
1 170 

3303 



5193 



5396 



5090 

61 3 1 63346337 

7i5i 



7254 

8385 
93i5 



3433 
446a 

5491 
65i9 
7546 
8575 



665i 



950096039706 
0733 
1761 
3788 

38i4 

484i 

5867 

906893 



o63i 
i658 
3685 

3713 
4738 



46: 
5o56^^ 
85 66o9^90 



77x4 

8730 
9765 
0790 
x8i4 
3839 



7816 

8843 

9867 
0893 
1917 
194: 



3i3o3334 
4365 



7358 

8388 
9418 



o345o448 

i375 

2404 



1478 
3507 

3536 
4565 
5594 
6633 
765o 

8678 



79^9 
8944 
9970 
0995 
3019 
3o44 



3386 
3435 
4463 
55o3 



654o 6643 6747 



75777681 



861 5 
9653 



06890793 
1730 1839 



4938 5o4i 
59746077 
7009 71x3 

8044 8x48 
8976907991839386 



♦on 

1045 



97630793x83 



3ii3 

4x47 
5i8i 
63x4 

7347 



8a8o 8383 8486 8589 



93x3 
o344 
x377 
3408 



3490 
3539 
4567 
56o5 



8718 



1839 

3866 
3903 



0x14 
xx48 



33X7 
425o 
5384 
63x7 



73507453 



94i5 
o448 
x48o 
35xx 



9634 
o654 
x683 
37x3 



39x7 4030 

49435046 

59706073 

69967098 

803X" ' 



3x463349 



7785 
8833 



^ 



03x7 

1353 
3386 

3330 



43544457 



5387 

6430 



951996: 
o55x 
x583 
36x5 



34403543 



4471 4574 
55o3 56o5 
64566533 66366^396842 
"• 7564766777707873 
8594869788008903 



334 a3a7 



570958 



5491 
6534 
7557 



3646 

4677 
5708 



973798309933 

075708600963 

X8891993 

39x93633 



X786 
38x6 



38453948 

48744977 
•a 



66o56xi 



7x36 
8x64 

9193 

0330 
1347 
3374 

33oi 

4338 

5354 

6380 

7406 

8x34833683398433 



7o33 
7959 8063 

89879089 



75 « 



935a 
0377 6380 



3749 
478X 
58x3 



93549457 



o48a 
x5o7 



3439 3533 



io3 



io4 
308 

3X3 

4x6 
5ao 
634 
738 
833 
936 



io3 
306 

4X3 

5x5 
6x8 
731 
8a4 
937 



xoa 
3o4 
3o6 
4o8 
5io 

6X3 

7x4 
8x6 
9x8 



01234 56789 



Diir. 



Difil^Mok. 



58 



LOGARITHMS OF NUMBERS. 



Num. 

4340 

4i 
4a 
43 
44 

45 
46 
47 
48 
49 
43 5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

4a 6o 
6i 
6a 

• 63 
64 

65 
66 
67 
68 
69 

4a 70 

71 
7a 
73 
74 

75 
76 
77 
78 

79 
4a 80 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

4290 

91 

9? 

$ 

98 
99 

Nan. 



1 2 



6X7 365o 3761 
83 



468: 
5707 
6730 
77547856 



8777 

• 9800 

628 0823 

1845 

2867 



5809 591 1 

68336035 

-'"7958 

88798982 
♦004 
1027 
2o5o 
3072 



3889399 



491 1 

5933 
6954 
7975 



I 
5oi3 
6o35 
7o56 
8077 



89969098 



6290016 
lo37 
2o57 
3076 

4096 
5ii5 
6i34 
7i53 
8172 

• 9'9o 

630 0200 
1226 
2244 
3262 

4279 
5296 
63i2 
7329 
8345 

• 9361 

63 1 0377 
1393 
a4o8 
3423 

4438 
5452 
6467 
748i 
8495 



63a 6522 
i535 
2548 
356o 



4573 
5585 



7609 
8^0 

• 9632 

633 0643 

i654 

2664 

3674 



3863 
47854888 



9902 
0925 
1947 
3970 



0118 
1 139 
aiSo 
3178 

4198 
5ai7 
6a36 

7255 
8a74 

9392 
o3io 
i3a8 
2346 
3363 



4094 
5ii5 
6i37 
71 58 
8179 

9200 
0220 
1 241 
2261 
3280 



5397 

64i4 
743i 
8447 



1494 
3524 



4539464 
5554"'" 
6568 

7582 



9508 9610 971 1 
0724 

1737 
2750 
3763 



0623 
i636 
2649 
3662 



5686 



65976698 



7710 
8722 



0744 
1755 
2765 
3775 



3 4 

39664068 
4990509a 



6014 
7037 
8061 



90849186 
0107 
1 129 



2l52 

3i74 



41964298 



62396341 



7260 
8281 

9302 

o322 
1 343 

2363 
3382 



43oo44oa 



5319 
6338 

7357 
8376 



5421 
644o6542 



93949496^ 



o4i2 
i43o 
2448 
3465 

438o448a 



o5i4 
1 532 



7532 
8548 



04790580 



569261 



1596 

I 

3626 



5655 



6669677 



7684 



46744775 



5788 
6800 
7811 
8823 



973398349935 



0845 
i856 
2866 
3876 



61 16 
7140 
8i63 



0209 

1232 



2254 
3276 



5218 



7362 

8383 

9404 
0424 
1445 
2465 
3484 

45o4 
5523 



745Q 
8478 



0616 
i634 



25492661 



3567 

4584 
56oi 



7634 
865o 



9453956496669768 



0682 
1697 

2712 
3727 

4742 

5757 



7785 



8596869787998900 



9812 
0826 
1839 

2852 



4877 



6901 

7912 



0946 
1957 
2967 



5320 



756i 
8579 



3668 

4686 

5702 



66176719 



7735 
875a 



0783 

2814 
3829 

4844 
5858 
6872 



9914 
0927 
1940 
2953 



38643965 



4978 



58895990 



7002 
8014 



89249025 
♦0% 



1047 
2o58 
3o68 



39784079 



5 6 7 8 9 



4171 
5195 



62196321 



7a4a 
8a65 



8368 



92889391 
o3ii o4i4 
i334 i436 



2356 2458 



3378 



4400 45o2 



5422 
6443 
7464 
8485 



0628 



95069608 

o526 

i547 

2567 

3586 



3688 



46064708 
5625 5727 



7663 
8681 



9699980 



0717 
1735 
2753 



o 9903 

08I9092I 



3770 3872 



58o4 
682 
7837 
8853 



088! 
1900 
2915 
3930 4o3 



4945 



7988 
900X 

♦01 5 

1028 
2q4i 
3o54 
4067 



6091 
7io3 
8ii5 



0137 
u48 
2159 
3169 
41804281 



5a97 



64a365a666a8 



7344744775497651 



3481 



55a4 



6545 6647 6750 685: 



75667669 
8587 — 



16401751 
2668 2770 



7765 
8783 



1 837 
2855 



478748804991 
59006007 



6922 

2002 

3oi7 

2 



5959606 

69747075 

"8080 

9io5 



ii3o 

2T43 

3i55 
4i68 



50795180 



7ao4 



oa38 
1249 
2260 



437644784580 



5399 



84708572 



o5i6o6j8 



949395959698 
0720 
1743 
2765 
3787 



1 538 
256i 
3583 



46054707 



5626 



8689879; 



9710 
0730 



3790389: 



4810 
582< 



7866 
8885 



io3< 
2^ 



7024 
8o4o 



♦072 
1088 
2io3 
3ir8 
4i33 



5o465i48 
6162 



7177 



01 16 0218 



I23l 

aa44 
3257 



5282 
6192 6294 



73o5 



8ai683i7 



91 26 9227 9328 9429 9531 



1 356 
236i 



3270 3371 
" 4382 



55o2 



8675 



i64i 
2663 
3685 



5728 



7771 

12 

9812 
o832 
1853 
2872 



2 
7873 
8894 

9914 
0934 
1955 



491 1 
5931 



7968 



5oi3 
6o33 
705 1 
8070 



89879089 
♦oo5 



1023 
2o4i 
3o58 



397440754177 



5092 



8142 



905691589260 
01740275 



1180 
2205 

3220 
4235 



6264 

7a78 



81908292 
9ao4 



i332 
a345 
3358 



426943704473 



5383 
63^( 



56o4 



4809 
583o 



0107 

1 1 25 

2142 
3i6o 



5194 



6169 6211 
71 26 7227 



8244 



1 291 
23o6 
3321 
4336 



52495351 



6365 
93669467 



o3i9o4ao 



1434 
a446 
3459 



03390441 
*' i45t 

2462 

347a 
4483 



5484 
6496 
i75o8 
85x9 



o54a 
i55a 
2563 
3573 
4584 



01234 56789 



DifT. 



Diflr.atMviL 



DilC 



I 
2 

3 
4 
5 
6 

7 
8 

DUribMvll. 



LOGARITHMS OF NUMBERS. 



59 



Nmn. 

4300 

oi 
oa 
o3 
o4 



01234 56789 Dur. 



DiflT.dtMnlt. 



633 4685 
5694 
6704 
77i3 
8723 

• 973a 
6340740 

1749 
2757 
3765 

4773 
5780 
6788 
7795 
8801 



5795 
68o5 
7814 
8824 

0633 
o84i 
i85o 
3858 
3866 

4873 
588i 
6888 
7895 
890a 

9909 
0915 
1820 192 1 
2927 
3933 



• 9808 
635 0814 



3876397640764177 



5882 
6884 
7887 



638 0807 
1896 
2895 



58965997 

6906 

7915 



892490259126 



3967 

4974 
5982 
6989 

7995 
9003 

♦009 

lOIO 

2022 
3o28 
4o33 



4067 

5075 
6082 
7090 
8097 
9103 

Olio 

III6 

2122 
3128 



05 • 9732 9632 9933 ^034 

06 634 0740 0841 0942 1043 

07 1 749 1 85o 1 950 2o5 1 

08 2757 2858 2959 3o59 
09 

43 10 
II 
12 
i3 
i4 

i5 
16 
17 
18 
19 3832 3933 4o33 4i34 423^1 

43 20 4837 4938 5o39 5i39 524o 

21 5843 5943 6044 6i44 6245 

22 6848694870497149 

23 7852 79538053 8 1 54 

24 8857895790589158 

25 • 9861 9962 ^062 0162 

26 636 08650966 1066 1 166 

27 1869 1969 2070 2170 

28 2873297330733174 
«9 

43 3o 4879 4979 
3i 

32 

33 
34 

35 • 9891 9991 ^091 0192 0292 

36 63708930993 1093 1 193 1293 

37 1894 1994 2094 2195 2295 

38 2895 

39 3897 

4340 48974997 

4i 5898 ' " 

4a 689869987098 

43 7898^-^^ 
44 

45 
46 

47 
48 

49 
435o 48934992 
5i "* ' 

52 

53 
54 

55 • 9882 9981 #081 oi8t 0280 

56 639 0879 ^>97® ^078 ' '7^ 1277 

57 1876 1975 2075 2175 2274 

58 2872 2972 3072 3 1 71 3271 

59 38693968406841684^67 

Ho». 12 8 4 



0997 
1996 
2995 



7007 
8016 



5o8o 
6082 
7085 
8087 



5982 
68846985 
7887 7987 
8889 8989 9089 9190 9290 



299630963 
^ 4097' 
5097 



7998809881988298 
8898 8998 9098 9198 9298 

0298 
1297 
2296 
3295 
4394 
5292 
6290 
7288 
8286 



9998*098 
1097 
2096 
3095 



3894399440944194 



5092 



7887 . . 

8884 8984 9064 9183 9283 



7108 
81 17 



5i8o 
6i83 
7185 
8188 



3997409741974297 



5998609861986298 



0198 

"97 
2106 
3195 



5192 
61 
71 
80868186 



oi35 
nM 

2l52 

3i6o 
4168 

5176 
6i83 
7190 
8197 
9204 

>2II 

217 

2223 

3229 



725o 
8254 
9259 

0263 
1267 
2270 
3274 
4277 
5280 
6283 
7285 
8288 



1963296 
»97' 
5197 



5298 

6298 

71987298 



5190 



5291 



5391 

61996360 64oi 

74" 

8420 



7310 
83i< 
932i 

0236 o337 



7200 
8218 
9227 



1245 

2253 

3261 



i345 
2354 
3362 



4269 4370 4470 



5276 
6284 
7291 
8298 



5377 
6385 
7392 
8399 



93o5 94o5 



o3ii 
i3i7 

2323 

3329 
4335 



o4i2 
i4i8 
2424 
343o 
4435 



5340 5441 



6345 
7350 
8355 



644665466647 



745o 
8455 



9359 9459 9560 9660 9761 



o363 
i367 
2371 
3374 
4377 
538o 
6383 
7386 
8388 



o464o564 



0392 
1394 
2395 



5398 



9398 

0398 
1397 
2396 
3395 



5392 
6390 
7388 
8385 



o38o 
1377 
2374 
3371 
4367 



94299530 



0438 
1446 
2455 
3463 



5^S 
6485 
7492 

'^ 

o5i2 
iSio 

2525 

353o 
4536 

5541 



1467 
2471 
3475 
4478 

5481 
6483 
7486 



0492 
1494 
2495 



3396 3496 



5498 



73987498 



8398 8498 8598 



0497 
'497 
2496 
3495 



5492 
6490 
7488 
8485 



9383 9483 9582 



o48o 
1477 
2474 
3470 
4466 



5492 
65o2 
75i2 
8521 



0539 
i547 
2555 
3563 
4571 

557? 
6586 
7593 
8600 
9607 

o6i3 
1619 
2625 
363i 
4636 

5642 



755i 
8556 



1 568 
2571 
3575 
4578 

558i 



648365846684 



7586 
8588 
9390949095909691 



0592 
1594 
2595 
3596 



4397449745974697 



5598 



6398 6498 6598 6698 6798 



7598 



949895989698 

05970697 
1597 
2596 
3594 



4393 4493 4593 4693 



5591 
6589 

7587 
8585 



o58o 

1 577 
2573 
3570 
4566 



765 1 
8656 



5593 
66o3 
7613 
8622 
963i 

0639 
i648 
2656 
3664 
4672 

5679 
6687 
7694 
8701 
9707 

0714 
1720 
2726 
3731 
4737 
5742 

6747 
7752 
8756 



0664 
1668 
2672 
3675 
4678 

568i 



0692 
1694 
2695 
3696 



5698 



7698 



1697 
2696 
3694 



5691 
6689 
7687 
8685 
9682 



0765 
1769 
2772 
3776 
4779 
5782 
6784 
7787 



9791 

0793 
1794 

3796 
4797 

5798 



7798 
8798 
9798 

1796 
2795 
3794 

4793 

5701 
6789 
7787 
8784 
9782 

06790779 
1670 1770 

2673 " 
3669 

4666 



2773 
376Q 
4765 



I 


lOI 


2 

3 
4 
5 
6 


202 
3o3 
4o4 
5o5 
606 


7 
8 


^ 


9 


909 



I 


TOO 


2 
3 
4 
5 
6 


aoo 
3oo 
400 
5oo 
600 


7 
8 


^ 


9 


900 



297 
396 
495 
594 
693 
792 
891 



5 6 7 8 9 



DifT. 



Diff.dtMalt. 



60 



L06ABITHBCS OF NUMBERS. 



3 

5i64 5263 
6i6o6a59 
7255 
8i5i 825o 
9146 9245 

oi4i 
ii36 
2i3o 
3i25 



5 6 



5^ 



7 
5562 
6558 
7553 



8 
?66^ 
6657 
7653 



9 



Diir. 



Diir. 4t M vh. 



4360 

61 
62 
63 
64 

65 
66 
67 
68 

69 

4370 

71 

72 

73 
74 

75 
76 
77 
78 
79 

43 80 
81 
82 
83 
84 

85 
86 
87 
88 
89 

4390 
9' 
9? 

94 
96 

98 

99 

44 00 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

44 10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

'9 

Nun. 



639 4865 
586i 
6857 
7852 
8847 

• 9842 
6400837 

i832 
2826 
3820 

48i4 
58o8 
6802 
77?5 
8788 

• 9781 
6410773 

1765 
2758 



9880 9979*078 



0872 
i865 
2857 



3749^93948 



474i 
5733 
6724 
77i5 
8705 

64ao6te 
1676 
2666 
3656 

i^45 
5634 
6623 
7612 
86or 



643 6577 
i565 

2552 

3540 

4527 
55i4 
65oo 
7487 
8473 

• 9459 

6440445 

i43i 

a4i6 

34oi 



43864484 



5371 
6355 
7330 
8323 



6450291 
1274 
0257 
3240 



4965 
5960 



6060 



695670567155 
7952 



89479046 

994a 

0937 

1931 

2926 3o25 

3920401941194218 



5oi3 
6007 
7000 

7* 



0972 
1964 
2956 



484o 
5832 
6823 
7814 
88o5 

0765 
1775 
2765 
3755 

4744 
5733 
6722 

77" 



i663 
265i 
3638 

4625 
56x2 

^^ 

8572 



o543 
1529 
25i4 



5460 
6453 
7438 
8422 



• 930794059504960: 



137a 
2355 
3338 



5o64 



8o5i 



♦o4i 
io36 
2o3i 



7021 

8012 



5931 

6922 

7913 
89049003 

1874 
2864 

3854 

4843 
5832 
6821 
7810 



0178 
1170 
2162 
3i54 
4i46 

5138 
60366129 



1071 
2o63 
3o55 
4o47 
49395039 



86998798 



95899688978698859984 



06760774 



1762 
2750 
3737 

4724 
571 1 
6698 
7684 



86708769 
955896567755 



0642 
1628 
2613 



34993598 
4583 



5567 
6552 
7536 
8520 



03890487 



1471 
2454 
3437 



0240 
1235 

223o 
3224 



5ii3 



5212 



61066205 
7199 



7100 
8093 
9086 



8192 
9185 



1973 
2963 
3953 

4942 
5931 
6920 



0873 
1861 

2848 



I 
5666 



7635 
8618 



>2 

6586 
1569 

2552 

3535 



7120 
8111 
9102 

♦002 
1082 
2072 
3062 
4o52 

5o4i 
6o3o 
7019 
8007 
8996 



0972 
i960 
2947 



38363935 

4823 
58io 
6796 
7763 



0741 
1726 
271 1 
36963795 

4780 

5764 

665o 6749 



7733 
8717 
9701 
0684 
1667 
265o 
3633 



5363 



63596458 



7354 
835o 



9345944495449643 



o34o 0439 0539 o638 



i335 
2329 
3323 
43i7 

53ii 
63o5 
7298 
8201 
9284 

0277 
1269 
2262 
3254 
4245 

5237 
6228 
7219 
8210 
9201 

OIOI 

1181 
2171 
3i6i 
4i5i 

5i4o 
6120 
7118 
8106 



64o465o4 



7398 
8391 
9383 



0376 0475 0575 

1369 " " 

236i 

3353 

4344 



5336 
6327 
73i8 



6327 6426 



83098408 



♦o83 
107 1 
2o58 
3o46 
4o33 



5020 

6007 



9952 
0938 

T923 

2908 



0782 
1766 



3731 



7454 



8449854986488748 



1434 
2429 
3423 
4417 

54ii 



1 534 
2528 

3522 

45i6 
55io 



7497 
8490 
9483 



i468 
2460 
3452 
4444 



0200 
1280 
2270 
3260 
4249 4- 



523o 
6228 

7217 
8205 



90959194 

0182 
1 170 
2i57 
3 145 
4i32 



Siio 
6106 
7092 
, 8070 
89669065 



♦o5i 
io36 
2022 
3oo7 



38933992 

48784977 
58635961 



68476946 
783i - 
88i5 



1864 



2749 2847 



383o 



5609 
66o3 
75o6 
8589 
9582 



1 567 
2559 
355i 
4543 



5435 
6426 

7417 



5534 
6526 
7517 
85o7 



930093999498 

03890488 
•* 1478 
2468 
3458 
4447 
5437 



1 379 
369 

3359 
i348 

5338 
6327 
73i5 



9292 

0280 
1268 

2256 

3243 
42^ 

5218 

6204 
7191 
8177 
9163 

0149 

ii35 

21 

3io5 



5075 
6060 
7044 
8028 
9012 



79308028 
8914 



0979 
1962 
2945 
3928 



i633 
2627 

3622 



4616 47i5 



5709 
6702 
7605 
8688 
9681 

0674 
1666 
2658 
365o 
4642 

5633 
6625 
7616 
8606 
9597 
o587 
1577 
2567 
3557 
4546 

5535 
632764266524 
75i3 
85o2 
9490 



74i4 
83o484o3 



i367 
2355 
3342 



53i6 
63o3 
7290 



9262 

0248 
1233 



2022192317 



32o4 



4090 4189 4287 



5i74 
6o6o6i58 



7142 
8127 
9110 



9996*0940192 



1077 
2061 
3o43 
4026 



5761 
6757 
7753 



9743 

0738 
1732 
2727 
3721 



9391 

0379I0478 



i466 
2454 
3441 



43294428 



54i5 
64o2 
7388 



82768374 



9361 

o346 
1 332 



33o2 



5272 
6257 
7241 
8225 
9209 



1176 
2159 
3i42 
4124 



99 



1234 56789 



Diff. 



I 

2 

3 
4 
5 
6 

7 
8 

9 

I>iff.^liBlt. 



LOGARITHMS OF MUMBBRS. 



61 



Nam. 

4430 

ai 
aa 
a3 
a4 

a5 
a6 

a? 
ad 
a9 

44 3o 
3i 
3a 
33 

34 

35 
36 

3? 
38 
39 

4440 
4i 

42 

43 
44 

45 
46 
41 
48 
49 
44 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 
4460 
6i 
6a 
63 
64 

65 
66 

68 
69 
4470 
71 
7a 

73 
74 

75 
76 

79 

Nom* 



2 3 4 



5 6 7 8 9 



Diff. 



Difil^MiiH. 



4419 45l7 4616 
5403 55oo 5598 
6a86 6384 648a 65do 
7268 7366 7464 756a 
8a49 8348 8446 8544 
• 9133 9a3 1 93299437 



oaia 
1 193 
ai74 
3i55 

4i35 
5ii6 
599860966 



^7 
7957 



7075 
8o55 



8936 9034 91 3a 9a3o 93a8 



1873 
a85i 

383o 
4808 
5786 
6763 
7741 

8718 

• 9695 

6480671 

i648 

a6a4 



65a7 66a4 



649 o4a6 o5a4 
" 1498 
247a 
33493446 



65o 0160 oa57 
iaa9 
aaoi 

3075317a 



4047 
5oi8 



8001 

• 9871 

65io84i 

1811 



o3io 
1391 
3373 
3a53 

4a33 
53i4 
'93 
7173 
81 53 



3795 
457646744771 



4i44 
5ii5 



59896086 

69607057 

79308027 



o4o8 
1390 
3370 
335i 

433i 
53i3 
6391 
7371 
835i 



0309 
1188 
3167 
3i45 

4i33 
5ioi 
6070 
7o5o 
8o34 

901 1 

0964 
I94I 
3917 



56495747 
6733 



76007697 

85758673 

95499^547 
0631 



1595 
3570 

3543 

45i7 
5490 
6463 



364i 
46i4 
5588 
656i 
733974367534 



583i384o985o686o4 
9187 9384 938a 9479 9576 



3468 
3449 
4429 
5410 
6389 
7369 
8349 



o45i 
1433 
3395 

3367 
4338 
5309 
6380 
735i 

8ia48aaa 
9103 
0163 
ii3a 
a 103 



o3o7 
1386 

3364 

3343 

4331 

5199 

6177 

7154 

8i3i 

9108 
♦o85 
1063 
3o38 
3oi5 

4^ 

5942 
6017 
7893 

8867 
9843 
0816 
1790 
2764 

3738 
4712 
5685 
6658 
763i 



4714 



481 3 



56965795 



6678 



6777 



76607758 



8643 

9633 
o6o5 
1 586 
3566 
3547 
4537 
55o8 
6487 
7467 
8447 



8740 

9733 
0703 
1684 
3665 
3645 

4635 



6585 
7565 
8545 

9436 9534 



o4o5 
i384 

3363 

3341 

4319 
5397 



o5o3 
i483 
3460 
3438 

4417 
5394 



6374 6373 



7353 



8339 8337 
9306 9304 940: 



oi83 
1 160 
ai36 
3iia 

4088 
5o64 
6o3o 
701 5 
7990 



0914 
1888 
a86a 

3835 



5783 
6755 
7738 

8701 
9673 



356i 
4533 
55o3 



i336 
3395 



4910 
5893 
6875 
7857 
8838 

9830 
0801 
1782 
2763 
3743 

4723 



56o657o4 



7350 



6683 
7663 
8643 

9633 
0601 
1 579 
3558 
3536 

45i4 
5492 
6470 

7447 
8425 



0281 
1357 

3334 
33IO 

4186 

5i6i 
6i37 
7113 
8087 



89649063 
9939*037 



lOII 

1985 



6853 
7836 

8798 
9771 



06460743 
1618 1715 
2589 3687 



3658 



56oi 
64746571 
74457542 

84i685i3 
93869483 
o356o453 
1423 



3393 



5009 

6973 
7955 
8936 

9918 



4831 
58o3 
6781 
7761 
8740 

9720 



2 
6378 
i355 
333i 
3307 

4383 



9' , 
01 34 
1108 
3o83 



3959 3o56 3 
3933 



5oo4 



46394727 

- 5698 

6669 



8610 



o55o 
1 520 
2489 



52595356 
6334 ^"'^ 
7310 
8i85 

59 9357 



4o3o4i28 



5ioi 



59776074617: 

6950 

7923 

8895 
9868 
o84o 

l8l3 

3784 
3755 



3853 
4834 
5795 
6766 



76397736 



8707 



95809677 



0647 
1617 
3586 



06990796 



46i3 
5590 
6568 
7545 

8533 



438i 



7833 

8804 

9774 
0744 
T714 
3683 



98 



01234 56789 



97 



Diir. 



196 
394 
393 
490 
588 
686 
784 
883 



I 


97 


a 


194 


3 


391 


4 


388 


5 


485 


6 


583 


7 


77? 


8 


9 


873 



I 


96 


a 
3 


lU 


4 


384 


5 


480 


6 


576 


7 


^2 


8 


768 


9 


864 



iiff.lt Malt 



62 



Nttaa. 

4480 

8i 
8a 
83 

84 

85 
86 

87 
88 
89 

4490 

94 

96 

97 
98 

99 

45 00 
01 
oa 
o3 
04 

o5 
06 
07 
08 

09 
45 10 
II 
12 
i3 
14 

i5 
16 

17 
18 

»9 

45 ao 

21 

22 

23 

a4 

25 

26 

27 
28 
29 

45 3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 



LOGARITHMS OF NUMBEBS. 



12 3 4 



651 2780 2877, 
3749*3846 
47194815I 
5687:5784 
66566753 

76247721 

85o3 86oo 

• 9501I9657 

652 0528I0625 
14961593 



2974; 3o7 1 

3943|4o4o 
491215009 
588i ' ^ 
685o 

7818 

8786 

97549851 

0722 

1690 



2463' a56o 
343 1^3527 



43y7 
5364 
633i 

r^ 

653 oio5 
iiOo 

2125 

3090 
4o55 
5019 
5984 

6948 
7012 
8876 

654 0802 

1765 
2728 
3691 
4653 
56i6 

6578 

7539 

85oi 

• 946a 

655^3 

1 384 
2345 
33o6 
4a66 
5226 

6186 
7145 
8io5 
9064 
656 0023 

0982 
X941 

li? 

48i5 

5773 
6730, 



4494 
546i 
6427 



73q4 
836o 



932519422 



2657 

3624 

44501 

15558 

6524 



2754 
3721 
4688 
5654 
6621 



7400 
8456 



0291 
1256 

2222 

3187 

4i5i 
5ii6 
6080 

7044 
8008 
8972 
9935 
0899 

1862 
2825 
3787 
475o 
5712 



io388 
i353 



23i8 
3283 
4248 

5212 
6177 

7i4i 
8io5 
9068 
♦o32 

0995 
1958 

2921 
3883 
4846 
58o8 



66746770 



7635 
85o7 
9558 
o52o 

i48o 
2441 
3402 
4362 

5322 

6282 
7241 
8201 
9160 
01 19 

1078 
2o36 

39?3 
491 1 

5869 
6826 



7732 
8693 
9655 
0616 

1577 
2537 
34< " 
44 
54i8 

6378 
7337 
8207 
9256 

02l5 

1 174 
2i3a 
3091 



5007 



1270 
2:^28 
3i86 



4049 4i45 



5io3 



59646060 

6922 

78- 



2l5l 

3ii3 
39804076 



6474 6570 



0407 



7688J7784 
86458741 
# 9602*9698 97939689 9985 



4234433 

52o3 

6172 



71407237 
81098205 



743i 



83098406 
93679*4 



4421 
53oo 5397 5494 
626963656462 
" 7334 " 

83o2 
9270 
0238 
1206 
2173 

3i4o 3237 



61376234 
6814 6910 7007 7104 7200 



77807877 
87468843 
9808 



97»2^ 

06770774 

1739 

2704 
3669 
4634 
5598 
6562 



743o 
8394 
935; 
o32i 

1284 



5706 



i46i 
2420 
3378 



i836i932 
2801 



7526 
8490 
9454 
0417 
i38o 

2343 
33o6 
4268 
523i 



7623 
8586 
95509646 



7i55 
8116 



47464842 



58o2 



66666762 
7721 
8681 



7625 
8585 

95449640 
o5o3 



i557 
25i6 
3474 



6347 
'73o5 



80708166 
90369132 
0098 
io63 



o5i3 
1477 



3402 
4365 
5327 



6097 6193 6289 6385 6481 



725 1 

8212 



6858 

7817 
8776 



05990694 
i653 



2612 
3570 



43364432452846244719 



53905486 
6443 



4525 



2029 



4923 
5687 
6852 



0610 
1573 



2439 2536 2632 



3498 
446i 
5423 



73477443 
83o984o5 
9078917492709366 



9736983 
0790 

1749 



2707 
3666 



558i 



7401 
8358 
93i5 



4622 

6559 
7528 



3595 
4557 
5519 



2249 

32IO 

4170 

5i3o 
59946090 

69547060 
701 3 
8872 



i845 
2803 
3761 



5677 

6635 
7592 
854Q 
9506 



k)'oi76 02720367 o463 
01234 56789 



Dur. 



wm^iWLi 



98 



194 

3^8 

485 
582 



384 
48o 
576 
672 



DiC 



DiiritlfalL 



LOaARITHMS OP NUMBERS. 



63 



45 



49 
45 5o 
5i 
5a 
53 
54 

55 
56 
5? 
58 

59 
45 6o 
6i 
6a 
63 
64 

65 
66 
67 
68 

69 
4570 
7« 
72 
73 
74 

75 
76 
77 
78 
79 
4580 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

4590 

91 

$ 

98 

99 



4479457446704766 



5339 5434 



6204 
7230 
8205 



6390 6485 



7345 
83oo 



• 9159 9355935094469541 
0209 o3o5 o4oo O' 
"i25oi355 
221S a3o9 
3263 
4ai643ia 

4884 4979 5074 5170 5265 
6028 6123 6218 



5837 
6790 
7743 
86968791 



964897449839 



06960791 
1648 1743 
26002695 



4408 45o3 
53595454 



63io 64o5 65oo 6595 6690 



7a6i 
8212 



3393 
4341 
5287 



6234632. 



662 



90739168 
0019 01 
096410 
1 910 2004 

3855 
38oo 
4745 
5690 
6634 



553o 5626 
658i 



7441 
83968491 



45984693 
55495644 



34B8 
4435 
5382 



7536763: 



I 70767171 
80298124 
9077 



4ioi 
5o5o 5i45 



87508844 
960396989793^ , 
"' o646 07400835 
" 1688 1783 
26362730 



35833678 
453o462547 



54775571 
" 2365i8 



5028 



75467641 
8497859a 

9447954a 
0397049a 
"' i44a 
a39a 
3a46334i 

4196 4291 



93579451 
3o3o397 
"^ i343 

2288 

31393233 



4178 
5i23 



59736067 
7012 



o59t 
i545 



06870782 



25002595 
3453 "* 



4407 

536i 
63 14 
7267. 
8220 83 1 5 
9172 



45984693 



45oa 

5456 5551 
64096504 



oia5 
1077 
ao29 
3961 
3932 

4883 
5835 
6786 



92679363 

i5 
1267 



0220 o3 



4027 



49795074 



7232 
8181 



♦077 

1025 



049^ 

1437 

2383 

3328 
4273 
5217 
6162 
7106 



i64i 



35493644 



736a 



1 172 
2124 



30763171 



5930 
6881 
77367831 
86878782 

96379732 
'^ 0682 
i632 

2582 

353i 



o587 
1537 
2487 
3436 

4386448il4575 



5335 543o 
62846378 



7327 



91299224 



0172 
1 120 
2067 
[3oi5 



1972 
2920 

38673962 
48i4 

5761 
6707I 
76547748h843 



6802 



86008695 
954696409731 



o5^o68 
iS32 

2477 
34aa 
4367 
53r2 
6256 
7201 



3i4i 
4096 
5o5l 

6008 
6963 
7Qi8 
8873 



4192 
5i48 

6io3 
7059 
8014 
8968 



98289923 



1736 
2690 



7457 
84io 



22192314 
* 3266 



4122 



6025 
6976 
7926 
8877 

9827 
0777 
1727 
2677 
3626 



5524 

6473 
7422 



8275 8370 8465 



9318 
0266 

I2l4 

2162 



5oo3 



8780 
9735 

1626 
257a 

35i7 
4462 
5406 
635i 
7295 



2280 23' 
32363332 



08770973 



i832 
2786 
3740 



5647 
6600 
7553 
85o5 
94589553 

o4ioo5o6 
i362 



4218 



51695264 



6120 
7071 
8021 
8972 

9022 
0872 
1822 
2772 
3721 



94i3 
o36i 
i3o9 
2257 



3109 3204 
4o564i5 



5096 



59506045 
6897" 



6445 
7389 



i4i 



Nn. 01234 56789 

4540 

41 

4a 
43 
44 



657 05590654 

i5 161 1 

2567 

3523 



07500845 
1706 
2663 
3619 3714 



io37 
1993 
2940 
3905 
4861 

58i7 
6772 
7727 
8682 
96379732 



Il32 

2089 
3o45 
4ooi 
4957 
5912 
6867 
7823 
8777 



1228 i324 
2184 



U 



4288 
5243 

8109 
9064 
♦019 



3835 
4788 

5742 
6695 



i458 
2410 
336i 
43i3 



62i5 
7166 
8117 
9067 

♦017 
0967 
1017 
2867 
38i6 



46704765 

5619' 

6568 

751776 



8o32 

8978 
9924 
0870 
r8i5 



8884 
9830 
0775 
1721 
26662761 

36ii 
4556 
55oi 



3706 
465i 
5595 
654o 
7484 



01234 56789 



Dim 



95 



Diir. 



DUK^Huli. 



96 

2^ 
384 
480 
576 
672 
768 
864 



^95 

2^ 
38o 
475 
570 
665 
760 
855 



188 
282 
376 
470 
564 
658 
752 
846 



DUT^Mult 



64 



LOGARITHMS OF NUMBBR8. 



Nam. 

4600 

oi 
oa 
o3 
o4 

o5 
06 
07 
08 

09 
4610 
II 
la 
i3 
14 

i5 
16 

17 
18 

«9 

46 ao 
ai 
aa 
a3 
24 

a5 
a6 
27 
a8 
29 
46 3o 
3x 
da 
33 
34 

35 
36 

37 
38 

39 
46 4o 
4i 
42 
43 
44 

45 
46 
47 
48 

49 
46 5o 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

Num. 



3 4 

7862,7956 
8805,8900 
974q'9«44 
06930787 
16M1730 

a 579 2674 



5 6 7 8 9 



8o5o|8i45,8a398334 84a8 
9089 9183 9a77 



INC 



DifllltMalL 



66*7578 
85aa 
• 94669561 
663o4io ' ' 
1 353 



4i8a 
5ia5 
6067 



o5o4 
1447 
3391 
3334 



4a76437i 



5a I 
6i6i 



70of 7io3 



7o5i 
8893 
• 9835 
6640776 



8045 



89879081 

9oa9 

0870 



1717 1811 
2658 a752 



64ao65i4 



6660497 
1434 
a37i 
33o7 
4244 

5i8o 
61 16 
705 1 
7987 
89a a 

• 9857 
667 079a 

'727 
a66i 



453o 
5463 
6307 
733i 
8a64 



871 1 
9655 
0598 
1 54a 

a485 
3428 



6a56635o 



7198 
8i4o 



6608 
7548 
8487 
9427 
o366 

laii i3o5 
ai5oaa44 
3089 3'83 



4037 
4966 

5go4 
684a 

7779 7J . 
8717 8810 
• 956096549748 



0591 
i5a8 
a465 
34oi 
4337 



i8ao 
3755 



35953689378 



46a3 
5557 



7424 
8357 

9290 
oaa3 
ii56 
ao88 



1249 
ai8i 
a9a7»3oao3ii4 



35aa 
4465 
5407 



7aoa 
8a34 
9175 
01 17 
io58 

'999 



2940 
388i 
48a I 
576a 

670a 
7642 
858 
95a I 



o46oo554 

1399 1493 
a338 a43a 



i6aa 
a558 
34g5 
443i 

5367 
63o3 
7238 
8174 



691099203 

oi38 
107a 
aoo7 
ao4i 
3676 



4716 
565o 



649065846677 



7517 



36i6 
4559 
55oa 
6444 

7386 
83a8 
9370 
oaii 
ii5a 



3975 
491 5 
5856 

6796 
7736 
8675 
9615 



3277 
42i5 
5i53 

6091 



06850778 



1715 
a652 
3588 
45a5 

546i 
6396 
733a 
8a67 



4810 
5744 



7611 



845o8544 

938394779570 
o3i6o4ioo5o3 

1 342 

aa75 

3ao7 



7039 7 1 a3 
7967 '^ ' 



3370 
4309 
5a47 

6i85 
7ia3 
8061 
8 

087a 
1809 
2746 
368a 
46i8 

5554 
6490 
7426 
836i 
9396 

oa3i 
1 166 
aioi 
3o35 
3969 

49o3 
5837 

6770 
7704 
8637 



i435 
a368 
33oo 



x8a5 



40694163 
50095104 
59506044 



6800 
7830 
8769 1 



6984 
7924 
8863 
9803 
0742 

1681 
a6ao 
3558 
4497 
5435 



7217 
8i54 
909a 



♦o3a 
0976 



19192013 aio8 



a86a 
38o5 
4748 
5690 
663a 

7574 
85i6 



67a768ai 



76697763 
8610" " 



9458 955 
03990494 
i34i 1435 

aa8a 
3aaa 



i587 
a5a6 
3464 
44o3 
5341 

627916373 



73io 
8a48 
9185 



♦039 01 a3 
09661060 

IQ03 




658466776771 



84548548 
93909483 



i353 
aa87 
3aaa 



5090 
6oa4 
6o57 
7891 
88a4 



966397579850 

059606890783 

i5a9 

a46i 

3393 



i6aa 
a554 



oia7|Oaai 
1070JI164 



a956|3o5i 



4842 
5784 



96469740 

— 068a 

i6a3 



o588 
i5a9 



2470 

34i 

435i 

5393 

6a3a 



717a 
8111 
905 1 
9990 
0930 

1869 
3807 
3746 
4684 



5539 56aa 
6466 



7404 
834a 
9370 
oai6 

ii53 
3090 
3o37 
3963 
4699 
5835 



656o6654 



8643 



o4i8|o5i3 
,446 
338i 
33i5 



o6o5 
i54o 

2474 

3409 

4i56|42494343 

5277 

63 K 
7144 

8077 



5i83 
61 17 
705 1 
7984 
8917 



1715 
2647 



3486l358o 



4o36l 
5879^ 



5o3o 
5973 
6915 

7857 



87058799 



2564 
35o5 
4445 
5386 



13 6336 



7266 
83o5 
9145 
♦084 
ioa3 

1963 

3< 



4778 
5716 



77067800 



8735 



957796709764 



9372 

o3i5 
1259 
33oa 

3i45 



7592 
8529 



93739467 
o3ioo4o4 

1347 
2184 

3l30 

4o56 
4993 



i34i 
3377 
3314 
4i5o 
5o86 



!??>? 



7«, 
8839 



3568 
35o3 
4436 

5370 

o63o4 

7337 

8170 

9010 9104 

♦o36 



08760969 
1808 
3741 
367313766 



1903 
3834 



I 

3 
3 
.4 
5 
6 

7 
8 

9 



I 

3 
3 
4 
5 
6 

7 
8 

-9_ 



01234 56789 



Dim I Diir.^] 



LOGAB^ITHMS OF MUMBEBS. 



NUD* 

4660 

6i 
62 
63 
64 

65 
66 
67 
68 

69 
4670 

71 
72 
73 
74 

75 
76 
77 
78 
79 
4680 
81 
82 
83 
84 

85 
86 
87 
88 

89 

4690 

9» 

98 
99 

4700 
01 
03 
o3 
04 

o5 
06 

07 
08 

09 
4710 
. II 
la 
i3 
i4 

i5 
16. 

17 
18 

J9 

Vwau 



12 3 4 



5 6 7 8 9 Diff. 



668 3859 

479' 
5723 



66546747 



7585 
85i6 

669^78 
i3o8 



9447 9540 
0471 

l403 



2a39 2332 



3169 

5028 
5958 
6887 



3262 
4192 

5l2I 

6o5i 
6980 



7816 

8745 

• 96749767 

6700602 

i53o 



0695 
1623 



241 
331 
43i4 
5242 



255 1 

3479 
4407 
5334 



61696262 



7096 

8023 

8950 

• 9876 

6710802 

1728 
2654 
358o 



7180 ' 
8116I 
9042 



543i 



7281 
8206 



6720054 



55965689 
65196612 
7442 '"' 
8365 



673 0209 o3oi 

1223 

2145 

3067 



ii3i 
2o53 
2974 
3696 

4817 ^ , 
5738 563o 
66596751 



75797671 
'^' >8592 



85oo 



3952 
4884 
58i6 



4o^ 

4977 

6640 
7772 



7679 

86108703 

" 9633 

o564 

1495 

2425 

3355 
4285 
52x4 
6144 
7073 

8002 
8931 

1716 

26M 
3572 
45oo 
5427 



6354 64476540 



7281 
8208 
91 35 
♦061 



1821 

2747 
3673 



45064598469 



5523 



635664486541 



8298 8391 



91309223 



7373 
8298 
9223 
oi47 
1071 
1995 

lU 

4765 



7534 
8457 



• 928793799471 



9727 



06570750 



i588 
25i8 

3448 
4378 
53o7 
6237 
7166 

8095 
9024 

52 

Bi 
1809 

2737 
3665 
4592 
5520 



7374 
83oi 



7467 
8394 
9228 9320 
01540247 
1080 



i9«4 



93i5 
0239 

ii63 
2087 
3oii 
3o34 
4858 

5781 
6704 

7627 
8549 



398840804172 



5ooi 
5922 
6843 
7763 
8684 



394232 



4i , 
5071 
6002 
6o34 
7865 



5i64 
6095 
7027 
7958 



1681 
2611 

354i 
4471 
5400 
633o 
7259 

8188 
9117 
♦045 
0974 
1902 

283o 
3758 
4685 
56x3 



2006 



2b39 2932 
3765 3858 



4783 
56i6 57o8 



6633 

74667558 



9407 
o332 

1256 
2180 
3io3 
4027 
4950 

5873 
6796 
771, 
864i 



0393 
i3i5 
2237 
3 1 593251 



i4o8 
2329 24; 



5093 
6014 
6935 
7856 
8776 



9820 



1173 



302! 
3950 
4876 
58oi 

6726 
765i 
8575 
9500 
0424 

i348 
2272 
3196 
4119 
5o42 

5965 
6888 
If 

8734 



978: 



9564 9656 



04860578 



i5oo 
21 
3343 
4264 

5i85 
6106 

7027 
7048 
8868 



4325 
5257 



61886282 

7120 

8o5i 

8982 

1774 
2704 

3634 



456446564749 



5493 
6422 
7352 

8281 

^^ 

1066 
1995 

2922 
385o 
4778 
5705 
6632 

755o 
8486 
94i3 
0339 
1265 

2191 
3x17 
4043 
4968 
5893 

6818 
7743 
8668 
9592 



i44i 
2364 
3288 
421 1 
5i35 

6o58 
6981 

8^6 
9748 



1592 
25i4 
3435 



5277 



4418 
535o 



63756468 
7306 " 



72i3 
81448237 

9168 



♦006 

??^ 

2797 
3727 



83S1 

9261 
00990192 
1122 
2o53 
2983 



1029 
1960 
2890 

3820 



5586 
65i5 
7445 

8373 
9302 

023X 

1 159 
2087 

3oi5 
3o43 
4871 
5798 
6725 

7652 
8579 
95o5 
0432 
i358 

2284 
3210 

4i35 
5o6i 



567Q 
6608 
7537 



84668556 



6911 

7836 

8760 

9685 

05170609 



1 533 
2457 
338o 



7073 

Z996 
8018 
9840 

06700762 



i684 
2606 
3527 



435644494541 



5370 



6198 6290 
71197211 
8o4o8i32 
8960I9052 



45ii 
5443 



3913 
4842 
5772 
6701 
763o 



9395 
o324 

1252 
2x80 

3io8 
4o36 
4963 
5891 
6818 

7745 
8672 

o524 
i45i 

2377 
33o2 
4228 
5x53 



59866078 



70o3 
128 
53 

9777 
070X 



1625 
2549 
347^ 



43044396 
5227 

6 X 506242 



7x65 
8088 
90x0 
9932 

o854 
1776 
2698 



5462 
6383 
73o3 
8224 
9144 



46o5 
5536 



9488 
o4i6 
x345 
2273 

320I 

4x29 
5o56 
5983 
69x1 

7837 
8764 
9691 
0617 
i543 

2469 
3395 
4320 
5246 
617X 

7096 
802 X 
8045 
9870 
0794 



4608 
563o 
656i 
7492 
8423 

9354 
0285 

12l5 

2x46 
3076 

4006 
4935 
5865 
6794 
7723 

8652 
9581 
o5o9 
x438 
2366 

3294 
4221 

6076 
70o3 

7o3o 
8857 
9783 
07x0 
i636 

2562 
3487 
44x3 
5338 
6263 

7x88 
8ix3 
9o38 



X718 
2642 
3565 
4488 
531954x2 

6335 
7257 
8x80 
9102 

♦025 

oo47 
x868 
2790 



36x93712 



5554 



7395 
83x6 



1810 
2734 
3657 
458i 
55o4 

6427 
735o 
8272 
9195 
01x7 

1039 
1961 
2882 
38o4 



46334725 



5646 



64756567 



7487 
84o8 



9236 9328 



12 3 4 



5 6 7 8 9 



65 



DULitUalU 



93 



279 
372 
465 
558 
65i 
744 
837 



i84 
276 
368 
460 
552 
644 
736 
828 



Dim 



Ditr.&MoH. 



LGQAEITHMS OF NUMBERS. 



Nuu 

4730 
ai 

23 
23 
24 

25 
26 
27 
28 
29 

47 3o 
3 1 

32 

33 
34 

35 
36 
37 
3^ 
3v 

4i 
4^ 
43 
44 

45 
46 
47 

4a 

49 
4750 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

4760 
61 

63 

63 
64 
65 
66 
67 
63 
69 

4770 
7t 
7a 
73 
74 

11 

7& 

79 

Num. 



12 3 4 



5 6 7 8. 9 



• 94209512 

674 o34o 0432 

1260 i35^ 

2179 2271 

8099 3191 

4oi8 4iio 
4937 5029 
5856 5948 
67756867 
76937785 



661 1 



8703 



9529 9^3 
675 044? *j539 
i365 14^J7 
3a83a374 
330U 3193 



4r , 
5o34 

686 
7783 



4ao9 
5ra6 
6042 



6959 7o5o 



87PQ 879 



787^7967 



« 9G15 
676053 
*447 

2363 

3277 
4193 
5107 

60 

69I6 
7650 
8764 

G77 059a 

i5o5 
3418 
3331 
4344 
5i57 

6070 
69B3 
7694 
&806 
# 9718 



1 540 

3453 

3363 
4373, 



79J4 8oo5 
34,8915 



9604 
o524 
1444 
2363 
3283 

4202 

5l2I 



96969788 

06160708 
i536i6a8 



6o4o6i32 



6958 
7677 
8795 

\r: ■■ 

i54q 
2466 

3383 
43tio 
5317 
61 34 



2455 
3375 

4294 
52i3 



2547 
3467 



7o5o 



4: 

53o5 

6224 

7142 



79698060 

88878079 

VS97 
1.1733 0814 



355S3649 
34753567 



88y3j8Q74 



9707 9799;9«9f^ 
0633071408116 
i538 i63o 172J 

34M >545 3637 
3369 3W355a 
4a8i 4375 4467 
5a9^>5383 
62056396 

7:1917210 
8o33aia5 



5(99 



7028 
7941 
8856 
9770 
o6S3 

[597 
aSio 
3433 
4336 
5a48 

6t6i 
■7073 
7985 
8897 
9809 



678063907200811 



i63 
a543 
3454 
4364 



5164 5275 5366 5457 
6094 6*855270 6307 



t64o 



4484 
5401 
Ii3i7 
7^34 



439a 
53oJ^ 
6a a6^ 
714a 

8o58»i5o 

9066 

9Q8a 

0697 

6]3 



8047 
9861 
0774 

168S 
a5oi 
35 14 
4427 
5340 

6353^ 
7164 



90 38 
995a 
0&6G 

n79 

3693 
3CV>5 
45r8 
543 J 

^343 

7255 



80761 8 1 68 
898^19079 
9900^9991 



.723 tBi4 
263413735 
3545,3636 
4455 4546 



7004 7095 71 80 7?77 

" " 809(18187 

90o69r>97 



• 9734.9835 
579 0643 0734 

i553 

246j 
3370 



1643 
355a 
346t 



9016 •007 009S 
0S35 0916 
17341835 
36433734 
3552 3643 



1 733 



2728 
3643 
4558 
5473 
6387 

73oa 
8216 
9i3o 
»o44 
0957 

1871 
2784 
3697 
4609 

5532 

6434 

7347 
8359 
9T71 
*o83 

t^ 

905 
<8t6 

3727 

4637 

5548 
5458 
7368 
8278 
38 



1007 
1916 
a8a5 
!3734 



98809072 



0892 
1812 
2781 



365o374a 

45704661 
54895580 



640764996591 



7826 
S244 

9162 

•060 
0998 
1916 
2833 



0800 
1720 
2689 
3559 

4478 
5397 
63i5 
7334 
8i52 

9070 

9988 
0906 
i8a4 
374 r 

3658 
4575 
549a 
6409 
73a 5 

8242 
9i58 

•073 
0989 
1905 

2820 
3735 
4650 
5564 
6479 

7393 

83o7 
9221 
oi35 
1049 

1963 
2875 
3788 
470 r 
56i3 

6536 
7438 
835o 
9363 
0173 

1085 
1996 

3i]8 
47^9 
5639 
6549 
7459 
8369 
9379 

orSS 
1098 
2007 
3916 3no 
38a5l39i 



♦o64l 
0984 

2623 



7418 7569 7601 
8336 8428 85ao 

925493469438 



017a 
J 090 
3007 
3935 

3750 3&4a 



4667 
5584 
a5o 
74'' 

8333 
9249 
oi05 
[081 
1996 

a9ri 

3Ba6 

474 

5656 

6570 

74S5 

^^ 
0336 
1 140 

ao53 
39G6 
3879 

479^ 
5705 

66r7 



01 5610248 
1076 1 168 
19962088 



2915 
3834 

4753 
5672 



0264 
1182 
20992191 
3oi63io8 



4759 
5676 
6593 
75t)9 



934 
oa57 
i J7'j 
2088 

3oo3 
39 r 8 
4833 
5-47 
6663 



3007 
3926 

4845 
5764 
6683 



3934 
485o 
5767 



66846775 



7600 



8435 85i6 
9432 
o348 
1264 
2179 

3094 



40694101 
4924 5oi6 
58395930 
67536845 



7576 
849^1 
9404, 



7667 
8582 

/— ,9495x-/ 
o3[8|o4ooo5oo 
[a3ifi32d i4i4 



Ji45 
3o53 
3971 
4883 
5796 

6708 
7539 7620 
844 1 853a 



12236 

3 149 
4062 
4Q75 
5887 



67996891 



9353 

03&4 

1 176 
3087 

2998 

4820 

573o 
664o 
755o 
846o 
9370 



9^144 
o356 

1267 
^178 
34:^89 

4fJO<5; 
491 T 

58a 1 
6731 



8623 
9535 
0447 

i358 



855i 
9461 

oa79<o37o 

T 1 SOj 1 38(^ 

3098:3160 



3i8o 
4091 
5oo2 

5oi2 
6822 



iHi 7732 



8642 
9552 

o46i 
c37i 



3007.3098] 



3189 



61 400(1' 4097 



o356 

1273 



4o25 
4942 
5859 



7692 

8608 
9524 
o44o 
1 355 
2271 

3i86 



7759 
8673 
9587 



2827 
8240 
4i53 
5o66 
5978 



7808 
8715 
9626 
o588 

1449 



22692860 



8271 
4182 
5098 

6oo3 
6918 
7828 
8788 
9643 

o552 
i46i 



2280 2871 



8270 
4188 



12 3 4 



8 9 



DiC 



Diff.Jtl 



93 



91 



DIC Diff.ft;lML 



LOQARITHMS OF NUMBERS. 



67 



12 3 4 



4552;4642 



Num. 

4780 

8r 
8a 
83 
84 

85 
86 
87 
88 
89 

4790 
9' 

9Z 
98 

99 
4800 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 
4810 
II 
la 
i3 
i4 

i5 
16 

17 
18 

»9 

48 30 

21 
22 
23 
24 

25 
26 

27 
28 
29 

48 3o 
3i 

32 

33 
34 

35 
36 
37 
38 

39 
Nn. 12 3 4 



_5 6_ 

47334824 



7 8 9 



Dim Diir.dtMalt. 



979 4279 4370 



5187 



609661876277 



7095 
8002 



7004 
7912 

8819 

• 9727, 
68006340725 

i54i " 
2448 



8910 
9818 



3355 
4262 
5i68 
6074 
6980 

7886 
8792 

• 9697 

6810602 

i5o7 

2412 
33i7 
4222 
5126 



i632 
2539 

3446 
4352 
5259 
6i65 

7071 



9788 
0693 
1598 

25o3 
3408 
43i2 
5216 



6o3o6i2o62ii 



6934 

7838 

8741 

• 9645 

6820548 

i45i 
2354 
3256 



5o6i 

5963 
6865 
7766 
8668 



683 0470 
1371 
227a 
3i73 
4073 

6773 
7673 

8572 

• 9471 

684 0370 
1269 
2168 
3o66 



5761 
6659 

75561' 



5278 



7185 
8693 

9001 



16 

1723 
263o 

3536 
4443 
534Q 
6a56 
7161 

80678 



897.3 
9878 
0783 
1688 

2593 
3498 
4402 
5307 



7024 
7928 
8832 
9735 
o638 

i54i 
2444 
3346 

5i5i 



6o53 
6955 
785*^ 
8758 



9569965997501 



o56o 
i46i 

2362 

3263 



5o63 



7763 
8662 

9561 
o46o 
1359 

2358 

3i56 
4o55 

^1^ 



446i 



536954605551 



6368J6459 
737617367 
81848275 



909a 

X4 
2720 

3627 
4534 
5440 



63466437 



7a5a 

i58 
9063 



^4^ 



7m5 
8018 
8922 
9825 
0728 

i63i 
2534 
3437 



5397 
63oi 

7205 



4i 59 4349 4339 4429 45! 



524i 



7045 

'12 



o65i 
i55i 
245a 
3353 



416343534343 



5i53 
6o53 



78531 
8752 

965i 
o55o 
i44o 
2348 
3246 

4i44 
5o43 



76467736 



9182 
♦090 
0997 
1904 
281 1 

3718 
4624 
553i 



7343 

8248 
9154 



1869 

2774 
3679 



1779 

2684 
3588 
44934583 



5488 
639a 

7395 



9012 
9Q16 
0819 

1722 
2624 
3527 



533i 



6143 6233 6324 



7i35 

8037 



0741 

I«43 

2542 
3443 



5243 
6143 
7043 
7942 
884a 

974i 



3336 



5i33 
6o3o 
6928 
7825 



81098190 
9103 
♦006 
0909 

1813 

3715 
36i7 

~30 
5433 



7235 

8137 



80389039 
98409930 



o83i 

1733 

3633 

3533 
4433 

5333 
6333 
7i33 
8o33 
8932 

983i 



06400730 
i53o 1629 
2438 2527 



3426 



43344324 



5222 
6120 

7018 

79'5 



5642 



7549 
8456 



655o664i 

7458 

8366 

9273 
0181 
Z088 
1995 
2903 

38o8 
47i5 
5631 
6537 
7433 



0371 

308< 

2992 

48o^ 
5712 
6618 
7524 



83398430 



9244933594269516 

oi5oo24oo33i 

io55 



ij45 
[96020502141 

2865 3955 3o46 
376938603950 
467447644855 
" "5668 



5578 
6482 6572 

73867476 
82898380 



9193 9283 9374 9464 9554 



0096 
0999 
1902 
2805 

3707 



55i2 



0021 

1022 
2722 

36a3 



9022 

9021 

082014 
1719 I 



44i4 
53t2 



7107 



5732 



93649455 



8638 

9545 
0453 
i36o 
3367 
3174 
4080 
4087 
5893 
670967996690 
77057796 

861 1 



o362 
ia6o 
3170 
3o83 

58o3 



3i36 

4o4i 

4945 

575o584o5q4o 

666367536844 



0187 
1090 

3798 



46io 4700 4790 



56o3 



lOII 
IOI3 
2812 
3713 



4523 46i3 4703 



5433 
6323 
7223 
81238212 



55i3 
iTi3 



9112 



♦Oil 

10 



2617 
35i636o5 



2707 



5402 



62106300 



7197 



80058095 



6731 



7639 773o 
8547^"" 



7614 
8520 



o4ai 
1236 i327 

223l 



7567 
8470 



0277 
1180 

2o83 
2985 
3888 



5692 

64i4|65o4 6594 6684 6775 
731674067496 

8217 ''•' 

9119 

♦020 01 10 0200 



IIOI 

2002 

3002 



56o3 
65o3 
74o3 
83o3 
9203 

OIOI 

1000 

1898 

2797 
3695 

45044594 



5493 
6389 

7387 
8184 



5oo6 5o97 



5914 
6833 



4171 
5077 
5984 



7657 
856i 



o367 
1370 

3173 



3978 
488o 
5783 



75867676 
8307839884888578 
9309939993899479 



6oo5 
6913 
7831 
8739 

9636 
o544 
i45i 
3358 
3364 



8701 
9607 
o5i3 

i4i7 
3333 



3327 
4i3i 
5o35 



7747 
865i 



0457 
i36o 

2363 



3076 3i66 



4068 
4q7i 
5673 



3983 
4883 

5783 
6683 
7583 
8483 
9381 

0380 
II7Q 
3078 

2077 
3875 

4773 
5671 
6569 
.7466 
82748364 



5 6 7 8 9 



90 



Die 



I 

2 


.11 


3 


273 


4 


364 


5 


455 


6 


546 


7 


637 


8 


728 


9 


819 



270 
36o 
45o 
540 
63o 
720 
810 



178 
267 
356 
445 
534 
623 
712 
801 



Diff.ltHalU 



68 


LOGABITHBfS OF NUMBERS. | 


Nam. 
4840 





1 2 8 


4 5 6 7 8 9 


Dim 


DiCJtMiiit. 


684 8454 


8543" 


8633 


8723 


88i3 


8903 




9083 


9'Ii 


9^1 






4i 
49 


• 9351 
685oa48 


9441 
o338 


9530 
0437 


9630 

o5i7 


9710 
0607 


^ 




1772 


♦068 
0965 


oi58 
io55 






43 


1 145 


1334 


1 334 


i4i4 


i5o3 


1593 


i683 


1862 


'£^ 






44 


2o4i 


3i3x 


3331 


33lO 


3400 


2490 


2579 


3669 


2759 






45 


3^ 


3o37 


3ii7 


3307 


3396 


3386 


3476 


3565 


3655 


3744 






46 


3o34 
4830 


4oi3 


4io3 


4193 
5089 


4a8a 


437a 


4461 


455 1 


4641 






4? 


4730 


4909 


'^ 


5178 


5368 


5357 


5447 


5537 






48 


5636 


5716 


5do5 


6too 


6074 


6164 


6353 


6343 


6432 






49 


6523 


6611 


6701 


6791 


6970 


7059 


7149 


7238 


7328 




X 


45o 
540 
63o 


48 5o 


7417 


7507 


7596 


7686 


7776 


7865 


885o 


8044 


8i34 


8223 




3 

3 


5i 


83i3 


84o3 


84q3 
9367 


858i 


8671 


8760 


» 


9029 


91 18 




4 
5 


52 


• 9308 


9397 


9476 


9566 


9655 


9745 


9924 
0819 
I7i3 


♦01 3 




53 
54 


6860103 
0998 


0I03 
1087 


0383 

1177 


0371 
1366 


o46i 
i356 


o55o 
1445 


o64o 
i535 


0739 
1634 


0908 
i8o3 




6 

7 


55 


1803 


1983 

3876 

3770 


3071 


2161 


asSo 


3340 


3333 
4317 


35i8 


2608 


3697 




8 


730 


56 

57 


^ 


3o55 


3i45 
5^36 


3234 
4138 


34i3 
4307 


35o2 
4396 


44^6 




9 


810 




58 


4575 


4665 


4754 


5033 


5iii 


530I 


5390 
61S4 


538o 






59 


5469 


5558 


5648 


5737 


5916 


6oo5 


6095 


6373 






48 6o 


6363 


6453 


654i 


663i 


6720 




6899 
779a 

8685 


6988 


7078 


7167 






6i 


7356 


7346 


7435 


7534 


7614 




7883 


8^64 


8060 






63 


8i5o 


8339 


8338 


84i8 


85o7 


85o6 


8775 


8953 
9846 






63 


9043 


9133 


9331 


93ii 


9400 


9578 


9668 


9757 






64 


• 9936 


♦035 


oii4 


0304 


0393 


o383 


0471 


o56i 


o65o 


0739 






65 


6870838 


0018 
1810 


1007 


1006 


1 186 


1375 


i364 


1453 


i543 


i633 






66 


173 1 


1900 


1009 


3078 


3167 


3357 


3346 


3435 


3534 






67 


a6i3 


3703 


^: 


3881 


3070 
3863 


3o6o 


3i49 


3338 


3337 


3416 






68 


35o6 


44^7 


3773 


ss 


404T 


4i3o 


4319 


4309 






69 


4398 


4576 


4665 


4755 


4933 


5022 


5iii 


5300 






4870 


5390 
6161 


5379 


5468 


5557 


5646 


5735 


5835 


^i 


6oo3 


6003 






71 


6370 


636o 


6449 


6538 


6637 


6716 


6895 

7766 


6064 






7a 


7073 


7163 


735l 


7340 


7439 


7518 


7608 


7697 

8588 


7875 






73 


Sf^ 


8o53 


8143 


833i 


8331 


84io 


8499 


8677 


8766 






74 


8944 


9033 


9133 


9313 


9301 


9390 


9479 


9568 


9657 






75 
76 


• 9746 
6880637 


983s 
0726 


s:^ 


♦oi3 
0904 


oio3 


0103 

1083 


0381 
1171 


0370 
1260 


0459 
1349 


o548 
1439 






77 


i538 


1617 


1706 


J?^ 


1973 

2863 


3063 


2l5l 


3340 


3339 






78 


a4i8 


3507 


^ 


3774 


tl 


3o4i 


3i3o 


3319 






79 


33o8 


33^; 


3575 


3664 


3753 


3931 


4020 


4109 


89 




4880 
81 


'^ 


4287 

5i77 


4376 
5366 


4465 
5355 


4554 


4643 
5533 


4733 

5633 


4821 
571 1 


^ 


B 






83 


5078 
6867 

7757 


6067 


6i56 


6345 


6334 


6423 


65ii 


6600 


6689 




, 1 0^ 


83 
84 


6956 
7845 


7045 
7934 


7134 
8033 


7333 
8112 


73i3 

8301 


74oi 
8390 


7490 
8379 


846? 


8557 




I 

3 

3 


.7I 

267 


85 


8646 


8735 


8833 


8013 
980T 


9001 


9090 


VM 


9268 


9357 


9445 




4 


356 


86 


# 9535 


96a4 


9713 


9890. 


-m 


01 57 


0246 


o335 




5 


445 


5z 


6890433 


05l3 


0601 


0690 


0779 


0957 
1845 


1045 


ii34 


1333 




6 


534 


88 


I3l3 


i4oi 


1490 


1 579 


1667 


1756 


1934 
2822 


2023 


3II3 




7 


623 


89 


3300 


3389 


3378 


3467 


3556 


3645 


3733 


291 1 


3ooo 




8 


L^ 


4890 
9» 


3089 

3977 

4864 


is 


3366 


3355 


3444 


3533 


3631 


3710 


^s? 


3888 




9 


801 


4i54 


4343 


4333 


4421 


4509 


i% 


4776 






9^ 


i&\ 


5o43 


5i3i 


5330 


53o8 


6385 


5575 


5663 






93 


5753 


6?!? 


6018 


6107 


6196 
7063 


6373 


6462 


6551 






94 


664o 


6738 


6906 


6995 


7173 


7261 


7350 


7438 






?! 


7537 


7616 


7704 


7793 
8680 


7882 


^5^ 




8i48 


8237 


8335 






96 


84i4 


85o3 


8591 


8769 

9656 


9035 


9"4 


9313 






97 


• 9301 


9390 


9478 


9567 


9744 


^ 


♦010 


i! 






98 


6900188 


0376 


o365 


0454 


0543 


o63i 


0730 


0807 
1784 






99 

NfUB. 


1074 


ii63 


1353 


1 340 


1439 


i5i8 


1606 


1695 






01234 56789 


Dur. 


Difilft^MnlL 



LOGARITHMS OF NUMBERS. 



Nam. 

41H>0 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 

09 

4910 

II 

13 

i3 
i4 

i5 
16 

17 
18 

'9 
4920 
ai 
aa 
a3 
a4 

a5 
a6 

a? 
a8 
39 

4930 
3i 
3a 
33 

34 

35 

36 
37 
38 

39 
4940 
4i 
42 
43 
44 

45 
46 
47 
48 
49 
49SO 

5a 
53 
54 

55 
56 

57 
58 

59 

Naou 



12 3 4 



690 iq6i 
a847 
3733 
4619 
55o5 



ao49 
2930 
38aa 
4708 
5593 



639064796567 



7375 
8161 



7364 
8a49 



90469134 



• 9930 
691 081 5 



a: 

3468 

435a 

5a35 
6119 
•700a 
7885 
8768 

• 965r 

69a o534 

i4i6 

3398 

3i8o 



♦019 

0903 
1788 
a67a 
3556 
4440 

53a4 
6ao7 
7090 
7974 
8857 



06a a 
i5o4 
a387 



4o6a 



6707 
7588 



4i5i 
5o3a 
i4 
6795 
7676 



a6 59: 



693633 1 
fill 
1991 

2S72 
375a 
463i 
55ii 



6390 647i 

73697357 
81498336 
9115 



9037 

• 9906 
6940785 

i663 
3541 



34193507 



4397 
5175 

6o53 
8683 



7017 
7894 
8771 
95609648 



6950437 
i3i3 
3189 
3o65 
3941 



ai38 
3o34 
3910 
4796 
5683 



745a 
8338 
9a a3 
0107 

'^ 

3760 
3644 
45384617 



54i3 
6395 

7179 
806a 
8945 



9739 9838 9916 



0710 
1593 
2475 



3369 3357 



5l30 

600a 
6883 
7764 



846985578645 



o3i9 
1199 
2079 

2960 
3839 
4719 

'a 



17a 

1751 
3639 



4385 
536a 



i4oi 

3377 
3i53 
4039 



66566744 



7541 
84a6 
9311 
0196 

1080 
1965 



4339 4327 



8733 

9356943895369614 

0495 

1375 

3356 



0407 
1387 
3167 



3o48 
3027 
4607 
5687 



0960 

1839 

2717 
3595 
4472 
535o 



61406337 



7io5 
7982 
'1591 
9735 



o534o6i3 



3327 
3ii3 



5770 



33i5 

3301 

4087 
4973 

5859 



763o 
85i5 



3849 ^937 

3733 3831 

4705 



55oo 
6384 
7267 
8i5o 
9033 



0708 
1681 
2563 
3445 



5589 
6472 
7355 
8238 
9121 

♦004 
0887 
1769 
365 1 
3533 



.44i5 
5ao9 5297 



6090 
6071 
7853 



6178 
7059 
794' 

8833 

970a 
o583 
1 463 
3344 

3334 
4io3 
4q83 
5863 
656666546743 

744575337631 
83248412 85oo 
9203 9291 
♦0820170 
1048 



3i36 
401 5 
4895 

5775 



5438 



2364 
3240 
4116142044291 



1 169 
2o53 



02! 
ii36 

20T4 

2893 

3770 



1936 
3805 

3683 
456o4648 



5536 

64o3 
7380 
81 57 
9034 
99" 

0787 
i663 
254o 
3416 



5 6 7 8 9 



2404 
3290 
4176 
5o6a 

5947 
6833 
7718 
86o3 



2493 
337Q 
4265 
5i5o 
6o36 

603 1 

7807 
8692 



948895769665 



0873 
1257 

3l4l 

3o36 
3910 
4793 

5677 
6560 
7444 
8337 
9310 

0093 
0975 
i857 
2739 
3621 

45o3 
5385 
6266 
7i48 
8029 

8910 

9790 

0671 
i55i 
2432 

33i2 
4191 
5071 
5951 
683o 

7700 
8588 



o46i 
346 

233o 

3ii4 

5765 



6649 6737 



7532 
84i5 



9298938694749563 



0181 
io63 
1945 
2828 
3710 

4591 

5473 556i 
63546443 



7236 
8117 



258i 
3467 
4353 
5239 
6124 

7010 
7805 
8780 



o55o 

434 
23i6 

3202 
4086 
4970 

5854 



7620 
85o3 



7324 
8205 



0759 
1639 
2520 

3400 
4279 
SiSo 
6039 
6918 

7797 
8676 



94679555 
o345 '•*'* 
1234 

3I03 

31 

3858 
4736 
56i3 

64qi 
7368 
8345 
9133 
9998 

0875 
1751 
3627 
35o3 



0433 

1 3^2 

3190 
3o68 
3q46 
4834 
5701 

6578 
7456 
8333 
9309 
♦086 



0963 
i83q 
2715 
3591 
43794467 



9967 
0847 
1727 
2608 

3488 
4367 
5247 
6126 



7885 
8764 
9643 
o52i 

1399 

2278 
3i56 
4o34 
49" 
5789 

0000 
7543 

8420 
9^97 
0174 



io5o 
T926 
2802 
3678 



2758 
3644 
453o 
5416 
63o2 

7187 
8072 
8o57 
9842 
0726 

1611 
2495 
3370 
4263 
5i47 
6o3o 
6914 
7757 
8680 



0269 0357 
ii5i 1240 

2034 2123 

2916 3oo4 
3798 3886 

4768 
5649 
653 1 
74i2 
8293 



90869174 



♦o55 
0935 
i8i5 
2696 

3576 
4455 
5335 
6214 



7006 7094 7182 



7973 
8852 
9730 



1487 
2366 
3244 

4l2l 

i^ 

5877 



ii38 

30l4 

2890 
3766 



45544642 



0445 
i328 

23IO 
3093 
3974 

4856 

5737 
6619 
75oo 
838i 

9363 
0143 

I033 

1903 

2784 

3664 
4543 
5423 
63o2 



8061 
8940 
9818 



06090697 



1575 

2453 
333i 
4209 
5087 
5964 

67546843 
763 1 
85o8 



7719 
8596 

9385 9472 

0361 



0349 

1335 
3103 
3978 

3854 
4729 



01234 56789 



Diff. 



88 



Dur. 



69 



Difl-.dtMttlt. 



I 

2 


.?? 


3 


267 


4 


356 


5 


445 


6 


534 


7 


623 


8 


713 


9 


801 



I 


88 


3 


176 


3 


364 


4 


353 


5 


440 


6 


538 


7 


616 


8 


704 


9 


792 



87 
174 

261 
348 
435 

5aa 



I 
a 
3 
4 
5 
6 

7 
8 

9 7g3 



Diff.fcMiilL 



70 



LOGARITHMS OF NVKBSRS. 



Nun. 

4960 

6i 
61 
63 
64 

65 
66 

67 
68 

69 

4970 

71 

72 

73 
74 

77 
78 
79 
4980 
81 
8a 
83 
84 

85 
66 

87 
88 

89 

4990 
9» 
9? 
93 
94 

2^ 
90 

92 
98 

99 

5ooo 
ox 
oa 
o3 
o4 

o5 
06 
07 
08 
09 

5oio 
II 
la 
i3 
14 

i5 
16 

17 
18 

19 

Nam. 



12 3 4 



5 6 7 8 9 

5a5&S34a|543o5Si7MoS 

6ai763o5 6393 6480 

03I7180 

58j8o55 

43893090189105 



Dur. 



DiCJtliah. 



094a 
i876 
2690 

3564 
4438 
53 1 
6i85 
7o58 



• 9^ 

6970549 

i4ax 



3i65 
4o37 

5780 



5o83 5170 
5955604a 

67396826691 



ioo5 
1876 
2746 
36i6 
4485 

5355 
6a 24 



6990! ^ 
1437 
a3o5 
3173 

4o4t 
4908 

5776 
6643 
75io 



9244933 



938093679455954: 



3739 38a6 39] 



635964476534 



•5690655 
" i5a4 

3a6o 



499a &079 
58675955 



6743 
7618 
8493 



46ia 
5486 



7a3a 



1596 i683 

2468 a555 
3340 34a7 
421a 



55a9 56i6 57a3 
63o8 6485 657a 
736773547441 
8i368aa383io 
90929179 

• 9700978798749561^047 



1017 

a883 
3748 



5480 



6d3o 
7705 
858ol 



47004787 



7407 

8a8o 
9153 
♦oa5 
0898 
1770 

a64a 
35i4 



4a994386 



5a57 
6139 



9439 95a6 96 
o3o9 0396 o483 

1180x267 
ao5oai37 
a9ao 3oo7 3oo4 
3700 38773064 
15947464833 



074a 
161 1 

a479 
3347 

4aT443ox 
5o8a 

7684 



855i 
9417. 
oa84o37i 
ii5o ia37 



aio3 
3?3?: 



4614 4701 



5566 



63456432 65x8 



x354 
2224 



19 0916 



6903 

77707' 
863787*4 



963o 
o5o46! 
1379 I 
2253 2340 
3x37 

4001 
48744962 
5748 5835 



83678455 
924093279415 



i3 oaoo{oa87 o374 0462 
1247 1 334 
2x192306 



272928x7 



36oi 
4473 
5345 



. 3904 
36893776 
456o 4647 4735 



6316 63o3 



7087 



71747261 
" 8i3a 



i588o45 
8839 8916 9003 
970097879874 
0570 0657 0744 



t44i 

33lX 

3i8i 
4o5i 



5790 
6659 
7538 



ioo3 
1871 

3739 
36o7 



44754561 



6310 6}< 



5343 
6310 
7077 
7944 8o3x 



881 1 
9677 



x4xo 
3376 

3i4a 
4008 4< 
4874 4< 
57 



543a 



55195606 
63906477 



538 
3398 
3a68 
4i38 



49305007 



5877 
6746 
76x5 



0X34023X 



1090 
io58 
3836 
3694 



o544 063007x7 



i64i 
25x5 

33893477 
4i764a63435o 



60106097 

6970 

7844 

854386398716 



95o3 



73497436 
8330 



i6i5 
3485 
3355 
4334 
5094 

5964 
6833 
7703 



84848571 



o3o8 



1x76 
3o45 
3913 
3780 



55i6 
6383 



8II-; 



88078084 
97649851 



x583 
345o 

33x6 
4i8i 
5o47 
59x3 

6778 



5x37 



7876 

8744 

93539439^953696x3 



7780 ' 
8658 i 



3l3l 



464847354833 
5680 



56o3 



735o 7337 



783048391 

9157 
♦034 



9071 



34o3 



5x33 



5334 



6o5o6x37 
69307007 



03950483 
1363 x35o 



33X8 



3909 3o86 
386^3954 



6470 6556 
" 74a4 



0800 
1670 1757 
3536 3633 



3489 



43684354 



5330 

6o85 
6951 



01234 56789 



353 
440 
538 
616 

79a 



»7 
174 
a6i 
348 
435 

532 



D&ft 



Die ft^ Mall. 



LOGARITHMS OF NUMBERS. 



71 



Nwa. 
5030 

21 

2a 

23 
24 

25 
26 
27 
28 

5o3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

5o4o 

4i 

42 

43 
44 

45 

46 
47 
48 

49 

5o5o 

5i 

52 

53 

54 

55 

56 

57 
58 

59 
5o6o 
6i 
62 
63 
64 

65 
66 

68 
69 

5070 
71 
7a 
73 
74 

75 
76 
77 
78 
79 



0_ 

700 7037 
7902 

8767 

• 9632 

7010496 

i36i 

2225 
3089 
3953 
4816 



1234 56789 



7124 



1447 

23ll 

3175 



4o3o4ia5 



490349895075 



56805766 5853 50396025 



6621 



6543 
740674957579 



8269 
9i32 

7020657 
1720 

2582 

43o5 
5167 
6028 



83568443 



92x893059391 



♦081 
og43 
1806 
2668 
353o 

4392 
5253 



61 1 5 6201 



68006076 



7751 7637 7923 8009 8095 



8612 

# 947a 

7o3o333 

1193 

2o54 



869887848870 



9559 



0419 o5o5 oSoi 0677 



39*4 
3774 
4633 
5493 5579 



6352 6438 



7212 
8071 



89309015 

""9874 

0733 



• 9788 
704 0647 

i5o5 
2363 

3221 



4079 4 165 
4937' ' 
5794 



6652 

8: 
9223 

7o5oo8o 
0936 
1792 
a649 
35o5 

436o 
5216 



6927 
7782 



671668026888 



0167 
io3o 



1892 1078 
27542840 
3616^702 



4478 4564 465o 



533954^5 



7062 



96459731 



1279 
2i4o 



7208 

8i57 



1591 

2449 
33o7 



5o23 

588o 
6738 
7595 



oi65 
1022 
1878 
2734 



53o2 



607261576243 



7012 
7868 



3484 
3348 
4212 



766S 
8528 



0254 o34o 



6287 
7148 



i366 
2226 



45: 

23l2 

3ooo3o863i72 
4o32 



386o3o46 
47194805 



5665 



9101 
9960 



5966 
6823 

7680 



8452 8537 
930993949480 



025 T 
IIO7 

io64 
2820 



3590 3676 3761 



44464532 



5387 



7297 
8162 



7210 
79898075 
885489409027 
0718 9805 (-- 

o583|o669< 

i534 
2398 
3262 



7383 
8248 
9113 

'8 

ia 

1620 1706 



4298 
5i6a 



7752 
8614 
9477 



1116 



55i2 
6373 
7234 



4891 

5751 

652466io|6696 

7383 
8242 

9187 9273 

♦o46 



08180904 

1677 
2535 
3393 
425i 
5io8 



o337 
1193 
2049 



4617 
5473 
6328 
7184 
8039 



2570 
3434 



1202 
2064 
2926 
3788 



8o56 
9817 



1 538 
2398 

3258 
4ii8 



74607555 
8328 84i4 



Ol32 

0990 

i848 

2707 



1763 

262 T 

3479 3565 

"" 4422 

5280 



4337 
5194 

6o52 6137 

7766 7852 
8623 



0422 
1279 
2i35 



2905 2991 



3647 

47o3 
5558 
64i4 
7269 
8t24 



nmL 12 3 4 



7470755617643 



8335 
91 



8421 



9286 9372 
oi5i 0237 
0929 ioi5 



2007 
3521 
4385 
5a48 



1870 

2743: 

36o7 

4471 

5334 



61 12 6198 
7061 
7924 



'5 
18 
8701 



87878873 



9563 9650 9736 



0426 o5i 2 



i375 

2237 



Z288 

2l5l 

3oi3 

3874 

47364822 
~ 5684 



5598 
6459 
7320 
8181 

9042 

0763 
1624 

2484 

3344 
4204 
5o63 

6782 

7641 
85oo 



65456631 
74067492 
82678353 



9128 



021 
1076 

1934 



45o8 
5366 

6223 
7080 
7938 
8795 
965i 

o5o8 
i364 
2221 

3o77 
3933 



5644 

8210 



85o8 



4644 473o 



36o4 
4557 
5421 



628463716457 



7147 
8010 



0598 
i46i 

2323 

3i85 
40474 

4909 

5770 



i9 
1710 
2570 

343o 
4290 
5i49 



92x493009386 

♦075 

0935 



7727 



o3o3 
1 162 



2020 
2878 
3736 
4594 
5452 



711 
8023 
8880 
9737 

o5o4 
i45o 
33o6 
3x62 
4oi8 

47884874 



5729 
6585 
7440 
8295 



\^ 



844o 



1796 
2656 

35x6 
4376 
5235 



42904376446 



78x3 



85868672 
1 
6389|< 
1248 



2106 
ag64 

3822 

468o 
5537 



63o963q5 

7x66 72$2 



752I 

838i 



77297816 



85o4 

X188 

2052 
2916 
3780 



8681 
9545 

o4io 
1274 

2x38 

30O2 

3866 



5507 



7234 



7320 
8x83 
9046 
9908 

0771 
x633 
2495 
3357 
42x9 

5o8i 
5o42 
6804 



7579 7665 



oi6x 
102 1 
X882 
2742 

36o2 

532X 
6181 



3908 
4765 
5623 



7338 
81 " 



0765 
162 1 

2477 
3333 



410441894: 



5o45 

590X 

66706756 



16 761 X 



5594 



8526 



0247 
1x07 

2S28 
3688 
4547 
5407 
6266 



70407126 



7* 

87! 

9617 

0475 

x334 

2192 
3o5o 



9702 
o56i 
1419 



2278 
3x36 

5709 
648o6566 



7423 
8280 
. 9'37 
99089994 



o85o 
1707 
2(563 
3419 
275 



5i3i 
5986 
6841 
7697 
8552 



5 6 7 8 9 



Dur. 



DiiTltMiUt. 
- 

2 

3 
4 
5 
6 

7 
8 

9 



86 

172 
258 
344 
43o 
5i6 
602 
688 
774 



85 
176 
255 
340 
425 
5xo 



Dur. 



I 
a 
3 
4 
5 
6 

7 
8 

_9 

Diir.dtMiiit. 



765 



72 



LOGARITHMS OF HUKBEES. 



Num. 

5080 

8i 
8a 
83 
84 

85 
86 
87 
88 
89 

5090 
91 

98 

99 

5i 00 
01 
03 
o3 
o4 

o5 
06 

07 
08 

09 

5i 10 

XI 

za 
i3 
i4 

i5 
16 

>7 
18 

>9 

ai 
aa 
aS 
24 

a5 
a6 

27 
a8 
39 

5i3o 
3i 
3a 
33 
34 

35 
36 
37 
38 
39 

Norn. 



0^ 1 

705 8637 



^2 

88088894 



3 4 



5 6 7 8 9 



87a3 
957796^ 



90659150 



tarn 



our.stMwh. 



o43a 
ia87 
ai4i 



a( 

3i 

47o3 
5556 



3934 

4788 

564a 

64^06495 



7a63 
8116 



• 949a 
7060347 

laoi 
ao55 

3910 
3764 
4617 
5471 
63a5 

7178 
8o3i 
8884 

• 9737, 
707 0589 0675 

i44a i5a7 
2204 a379 
3i46 3a3a 

570a 
6553 
74o5 
8a56 
9107 

7080808 
1659 
a5o9 



5o59 
5908 
6758 
7607 



y5i44 
J 5093 
)6843 
'769a 

84568541 



93o5 

7090154 

ioo3 

i85i 

3700 
3548 
4396 
5a44 
6091 



6939 7oa3 

77867871 
■ 8718 



8633 
• 94809565 
7ioo3a7 

1 174 
aoao 
a866 
3713 



45594643 



54o4 



7096 
7941 



8969 9055 9140 9aa5 

"♦078 

0930 

1783 
a635 



98aa9907 
0760 

i6ia 
a465 



4o83 
4935 

5787 
6638 



7490 7575 



834i 
919a 



♦o43oia8oai3 



0078 



io63 



0893 
1744 
2594 
3359344435393614 



9300 
oa39 
io8d 
1936 

3784 
3633 
448i 
53a8 
6176 



o4ia 

1358 
3io5 
3951 

3797 



5489 



6a5o6335 



7180 
8036 



87868871 



o5i8 
137a 
3aa6 



3o8o3i66 
4oao 
4873 

5737 
658i 

7434 
8387 



7348 
8ao3 



3317 



4169 4a54 
5oao5io6 



5873 
6734 



8436 
9377 



1839 1914 
3679 2764 



4309 4294 4379 4464 4549 



5339 
6078 
6938 
7777 
86a6 
9475 
o3a4 
1 173 

3031 



3717 

4565 
541 3 
6361 

7108 
7055 
8do3 
9650 
0496 

1 343 
3169 
3o36 
3883 
4728 

5574 
6419 
7365 
8110 
8955 



9748 
o6o3 
1457 

33l3 



0688 
1 543 
3397 

335i 
4io5 

^. 

6666 



7519 
8372 



1698 
a55o 
34o3 



5o57 
6809 



3487 
4339 
5191 

6043 
6894 



76607745 



85ii 
9363 



8596 
9447 
0398 
ii48 

2849 
3699 



53i4 
6i63 
7013 
7863 

871 1 



1357 
3106 



3869 3o54 



38o3 
465o 
5498 
6345 

7193 
8o4o 
8887 
9734 
o58i 

1438 

3374 
3l30 

3966 

48i3 

5658 
65o4 
734? 
8195 
9040 



1J90 
•348 



53. 

6: 

7098 

7947 

8796 



95609645 
04090494 



i34a 
3191 

3o39 
3887 
4735 
5583 
643o 

7278 
8135 
8073 

h 



i5ia 
a359 
33o5 
4o5i 
4897 

5743 
6588 
7434 
8379 
9124 



99"? 



0774 0859 0945 



1638 
a483 

3337 
4190 
5o44 
5898 
6751 

7604 
8457 
9310 
oi63 
1016 

1868 
3730 
3573 



714 
3568 

3433 

4276 
5i3o 
5983 
6837 

76907775 
85438638 
93969481 
0348 **" 

IIOI 

3805 



3658 3743 
442445094595 



53765361 



6138 6ai3 6398 6383 6468 



♦oo5 



9336j93ai 



0090,01 
" io3o 



36?? 

3507 
436i 
53i5 
6068 
6933 



o334o4i9o5o4 



7064 
7915 
8766 
9617 



8000 
885i 
9702 



o468o553 



i3i8 
3169 
3oi 



a339 
3189 
3869I3954 40394 



93104 



9309)9393 



i885 
2739 

3593 
4447 



1186 

3o39 

3891 



1371 

aia4 
ao76 
38a8 



5446 



46804765 
553i 



71497234 



8o85 
893690: 

9787 

0638 



i4o3 

3354 



783? 
8681 
9533 

o383 
1333 
ao84 
2934 
3784 

4634 
5484 
6333 64 
7i83 
8o33 

8881 

9730, 

05790663 

1427 

3375 

3ia43: 

3073 

4830 

5667 

65i 5 66oo|6684 6769I6854 

7363 

831083^ 

9057 

9904 

0750 

1597 
2443 
3390 
4i36 
4982 

5837 
6673 
75i8 
8364 



76oa6i 



9406 
oa6i 
1 1 16 
1070 
3834 

3678 
4533 
53oo5386 
61546339 
70077092 

78607946 

8713-^ 

956696! 



1 

4 

1 357 

3209 
3o6i 
3913 
4765 
56i7 



7319 
8171 

)33 

9872 

0733 

574 

3424 

274 

124 




1936 
3783 

36a8 
4474 
5330 

6166 
701 1 
7856 
8703 
9547 



86 

17a 
358 
344 
43o 
5i6 
60a 
688 
774 



85 



85 
170 

255 
340 
425 
5io 

765 



12 3 4 



6 7 8 9 



Dili: Dur.4tif«iL 



LOGARITHMS OP NUMBERS. 



78 



N«>. 

5140 

4i 

42 

43 



_2 3^ 

98009885 



5 6 7 8 9 



Diir. 



DiC^Mttlt.. 



45 

46 

47 
48 
49 
5i5o 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 
5i6o 
61 
63 
63 
64 

65 
66 

68 

69 

5x70 

71 
7a' 
73 
74 

75 
76 
77 
78 
79 
5i8o 
81 
8a 
83 
84 

85 
86 
87 
88 

89 

5190 

9' 

98 
99 

NUL 



963i 



711 04760561 



i3ai 
ai65 



3oio3o94 



3854 
4698 
5542 
6385 



3938 
4782 
5626 



64706554 
723973137398 

8072 
8915 



8i57 



• 97599843 



9000 9084 9168 9a53 



71a 0601 
1444 
2287 



0686 
1528 

2371 



3ia932i3 



3071 
48i3 
5655 

64o7 
7339 
8180 
90a I 
• 986a 

71 3 0703 
i544 
2385 
3aa5 
4o65 



658i 
7423 
8a64 



9104 
714 078a 



3398 
4i36 
4974 
58ia 
665o 

7488 
83a5 
9162 
7i5oooo 
0837 

1674 
a5io 
3347 
4i83 



5856 
6691 

7527 
8363 



9198938a 



9716 



i4o5 
a35o 



0645 
1490 
3334 
3178 

4oa3 

4867 



5710 5795 5879 



8a4i 



4o56 



99^7 

0770 
i6z3 

3455 
3298 



41404334 
5o66 



48984983 
57^9 5824 



6665 
7507 
8348 



9105 9189 9a74 9358 
0199 

io4o 
1880 
3731 
356i 
44oi 



♦o3i 



0787 0871 
1713 
3553 
33o3 



t^. 




1630 1704 
a459 3543 



338i 
4330 
5o58 



7571 
84oo 
9346 
0083 
0930 

1757 
a5o4 
343o 
4267 
5019 5io3 



7611 



0729 
1 574 



4107 
4951 



66386723 



7482 
8335 



0006 
0939 

781 

2634 
3466 
43o8 
5i5o 
599a 

67506834 



♦01 

o854 

1697 

3539 

3383 



75oi 
8433 



1638 
2469 
3309 
414942^ 

5073 



5913 



66696753 

- 7593 

84^3 



9187 



9371 , 
♦037 01 10 6194 
''' ' io33 
1873 



08660^ 

2637 



3465 



5i43 



58965980 
67346817 



7655 
8493 
9330 
0167 
foo4 

i84i 
3678 
35i4 
435o 
5187 



59396033 



677568596943 



7694 



8446 853o 



9365 



3419 35oS 
33633347 



7566 
84io 



5908 



oii5 

0956 
1796 
a637 

3477 
43i7 

5i57 
5997 



7677 
85i6 



3711 
3549 



430443874471 



5336 
6o63 
6901 



9414 
oa5i 
1088 

1935 
3761 
3598 
4434 
5370 



7778 
86i3 



i4 
1659 



4191 
5o35 



7675 
85i7 



5341 
66S76931 



7761 
8600 



93559439 

' 0376 

fii7 

1956 



3795 
3633 



53o9 

6147 
6985 



77397833 
85768660 



17X 
3008 
3845 
368i 
45i8 
5354 



61066190 



7036 
869^ 



9449 95^3 



♦054 



1743 
3587 
3433 



oi38 
oo83 
1837 
3673 
35i6 



437643604445 



5iao 



765i 

S4o4 
9337 
0180 
ioa3 
i865 

3708 
355o 
4393 
5234 



6o486i33 
6076 
7819 

8663 
9506 



6893 

7735 

8578 
9431 
OJ " * 
1107 
1950 



60766160634563396413 



6918 

77597843 
8601 '^^^- 
9442 
0383 



1 134 

si 

3645 

4485 

5335 
6i65 
7oo5 
7845 



9533 
o363 



7906 
8744 
9581 
o4i8 
1355 

2093 

U. 

46oi 
5438 



03 33 
1067 
191 3 
3756 
36oi 



53045289537 



46i3 
5457 
63oi 



4539 

"73 
6317 

70607145 
1979047988 

8747 

364034904^3 
1376 

3Il8 



3o34 

3876 

3719 

456i 

5319 54o3 



3- 

3( 
4477 



708671707354 



7938 
87698853 



7000 
7843 
8685 

9536 9610 
o367o45i 

1303 
3l33 



1308 

3o48 

3889 2973 
37293813 



4569 



86848768 



9607 

o446 
1385 
ao4o3ia4 



3717 
4555 
5393 
623i 
70697153 



9665 
o5o3 

1339 

3176 
3oi3 
3849 
"15 
5531 



o3o7 o3o3 
ii53 1336 
1096 3081 
3841 3935 



3961 
38o3 
4645 
5487 



8013 
8853 

o5?5 

1376 
3317 
3o57 



4653 



54095493 
63496333 
7080 -^ 
7928 



3963 

38oi 

4639I4723 
5477 •""• 
63i5 



62736357644 
7io97i93 727< 
7945 8029 811: 
878088648941 
9616 9699 9783 9866 9950 



3685 



883i 
9674 
o5i7 
i36o 



3o45 
3887 
4729 
5571 



8096 
8937 
9778 
0619 

i46o 
33oi 
3i4i 



0669 
f5o6 

3343 
3i8o 
4oi6 
4853 
5688 

6534 
736o 
8iq6 
90di 



3769 



38973981 
4737 4621 

5577 
64i7 
7257 
8096 
8936 

9775 
o6f4 
[453 
2391 
3i3o 

3968 
4806 
5645 
6483 
7320 

8i58 
6 



01234 56789 

To 



84 



IT 
170 
255 
340 
425 
5io 



765 



' 84 
168 
353 
336 ' 

430 

5o4 
588 
673 

756 



X 


83 


3 


166 


3 


249 


4 


333 


5 


4i5 


6 

7 


^, 


8 


664 


9 


747 



Diir. 



Ditr.JtMiih. 



74 



LOOARITHMS OF NUMBERS. 



Nam. 

5200 

oi 
oa 
o3 
o4 

o5 
06 
07 
08 
09 
53 10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 
5a ao 
ai 
aa 
a3 
24 

a5 
a6 

27 
28 

29 
5a 3o 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 

5a 4o 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 
5a 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

Num. 



1234 56789 



716 oo33 
0860 
1 70 J 
a538 
3373 

4a07 
5o4a 
5876 
6710 
7544 

8377 

9aii 

7170044 

0877 
1710 

a543 
3376 
4ao8 
5o4i 
5873 

6705 

7537 



0117 
095a 
1787 
a6aa 
3456 

4291 
5ia5 

679, 
7637 

846i 



9394 9377 946 

0137 

0961 

1794 



8369845; 



9300 
718 oo33 

o863 
1694 
a535 
3356 
4186 

5oi7 
5847 
6677 
7507 
8337 

9167 

7190836 
i655 
3484 

33i3 
4i4a 
4970 

^^ 
6637 



6788 
7630 

9383 
oii5 



7455 

8383 

9111 

# 9938 

730 0766 0848 



1593 

3430 
3347 
4074 
4901 

5737 

6554 
7380 



82068388 



9033 



03II 

1044 

1877 

2636 3710 
3459 3543 



4393 
5i24 



59566039 

6871 
77o3 
8535 
9367 
01 



1777 
a6o8 
3439 



7590 



17 
2567 



4334 
5o53 
588i 
6710 



7538 
8366 
9193 
♦021 



7463 



9"4 



oa84 
1119 
1954 
3780 
3633 



io36 
1870 
3705 
3540 

43744458 
530815393 
6043 61 36 
6960 



6877 
7710 



7794 



8544 8637 

I 

0394 

1 1 37 



4375 
5207 



i960 

3793 
3636 
4458 



1039 
i860 
2691 

3533 

43694353 

5ioo5i83 



6oi3 



5930 
67606843 



7673 



84ao85o3 

9350 9333 
-0790163 
0900009: 
1738 1821 
265o 



3396 3479 



43o7 
5i36 
5964 
6792 

7621 



1676 
25o3 
333o 
4i57 
4983 

58io 
66366710 



9276 
01 o4 
0931 

1758 
2586 
34i3 
4239 
5o66 

5892 



7545 
8371 
9197 



5290 5374 



6133 

6955 

7786 
8618 
945o 

038 

III3 
1943 

3774 

36o5 
4436 

5366 



6926 

7756 
8586 



0245 
1075 
1904 
2733 

3562 
4390 
5ai9 
6047 
6875 

77o3 
853 1 



9359 944: 
0187 " 
ioi4 



o367 

I203 

2o37 
287a 
3707 

454i 
5375 
6aoo 
7045 
7877 
871 1 
9544 
0377 

I3IO 
2043 

3876 
3709 
4541 



6306 

7o38 
7870 
8701 
9533 
o364 

1 195 
3036 

3857 
3688 
4519 

5349 



60966179 



7009 
7839 
8669 



o32l 
1 1 57 

1087 
2816 

3644 
4473 
53o2 
6i3o 
6958 



i84i 
2668 
3495 

4322 

5i49 

5975 
6801 
7628 
8454 
9279 9362 



7786 
8614 
3 
6369 
1097 

1934 
2751 
3578 
44o5 
533i 

6o58 
6884 
7710 
8536 



o45i 



12861370 
a2o4 



3956 



379038743957 

46a547o8479» 
56a6 



6393 

7137 
7960 



5542 
63766460654: 



87948877896 



9637 
o46i 
1394 

3137 



9711 



05440637 



2959 3o43 



379a 
4625 
5457 



6289 6372 



o352 
1179 

aoo7 
a834 
366i 
4487 
53i4 

6i4o 
6967 
7793 
8619 
9445 



o535 



30393 



7310 
80448 



I 

9794 



1 377 

3310 



3875 



4708 4791 



5540 



5623 
6455 



73047287 



8o36 
8868 



8951 
9783 
0614 

1445 
3376 
3io7 
3937 



1 363 
3193 
3o33 
3854 
46854768 



55i5 
6345 

7175 
8oo5 
8835 



5598 



7131 
7953 
8784 
9616 
0447 
1379 

3IIO 
3940 
3771 

46o3 

5433 
636a 
7093 
7933 
875a 

9583 
o4ii 
1 340 
3069 
2898 

3727 

4556 

5384 

63i3{6396{6378 

7041 



9665 
0494 
1 323 

2l52 
2981 

38io 



5467 
6296 
7124 



78697952 
8697^ ^ 



0435 
1262 

2089 
2916 

3743 
4570 
5397 
6223 
7049 
7875 
8701 
9527 



0618 
1453 

3388 
133 



7293 
'^137 



i46o 
3393 



070a 
1537 
3371 
3306 
4o4o 

4875 
5700 
;543 



'377 
an 

9044 



0785 
i6ao 
2455 
3389 
4124 

4958 
579a 
66a6 
7460 
8294 

91 a7 



98779961 



071 1 
i544 
3377 



3i36 
395914043 



3ao9 3393 



. . 7371 
81198303 



0697 

1 538 
3359 
3190 

4030 

485i 

568i 
6438651 1 
7341 
8171 
9001 



7358 
8088 
8918 

9748 
0577 
i4o6 

3335 

3o64 



3893 



46394733 



555o 



7207 



87808863 



9524 9607 9690 9773 9856 



o5i8 
1 345 

3173 

'^ 

4653 



7i33 
7958 
8784 
9610 



48744958 



5707 



653966: 



9034 



98659949 



9830 
0660 
i48o 
33i8 
3i47 



48o4 
5633 
646i 



80348117 
8945 



0600 
1438 

3355 

3o83 

3. 

473! 



54795563 
63o6 



73i5 
8o4i 
8867 
9693 



0794 
1637 
3460 



4i35 



5790 
"'2 a 



7454 
8286 
9117 



0780 

1611 

244a 
3373 
4io3 
4934 

5764 
6594 
7434 
8a54 
9084 

0743 
1 572 
a4oi 
333o 



3076 4o59 



4887 
5716 
6544 



73897372 



8300 
9038 



o683 
i5io 

3337 
3i64 

4818 
5645 



1735 481 1 



6388 6471 



7397 
8i33 



977: 



01234 56789 



iMir. 



83 



Diir. 



DUr, k. Mak. 



Difr.dcHult. 



LOGARITHMS OF NUMBERS. 



75 



Nrnn. 



5260 

6i 
6a 
63 
64 

65 
66 
67 
68 
69 

5270 

71 
72 
73 
74 

75 
76 
77 
78 
79 
5280 
81 
83 
83 
84 

85 
86 
87 
88 

89 

5290 

9> 
92 

% 

98 
99 
53 00 
01 
02 
o3 
04 

o5 

06 

07 
08 

09 
53 10 
II 
12 
i3 
14 

i5 
16 

»7 
18 

1 " 

Man. 



12 3 4 5 6 7 8 9 Dim 



• 9857 
7210683 

i5o8 
2334 
3i59 

3984 
4600 
5633 
6458 
7282 

8106 
8930 

• 9754 
722 0578 

1401 

2225 
3o48 
3871 
4694 
5517 



9940 
0766 
1 591 
2416 
324i 

4066 
4891 
5716 
654o 
7364 
8180 
90i5 
9836 
0660 
i484 

23o7 
3i3o 
3953 
4776 
5599 



♦023 



63396421 



7162 

7< ^' 

• 9628 

723 o45o 
1272 
2093 
2914 
3736 

4557 
5378 
6198 
7019 
7839 

8660 

724o3oo 
1120 
1939 

2759 
3578 
4397 
5216 
6o35 



9480956: 



68546936 



7672 
8491 

7256127 



0945 
1763 
258i 
3398 
4216 

5o33 
585o 
6667 
7483 
836o 



7^44 
8066 



9710 

o532 
i354 
2175 

3??8 



1674 

?499 
3324 

4i49 
497J 

5798 
6623 

7447 

8271 

9095 

9919 
0742 
1 566 

2389 

3212 

4o36 
4858 
568i 

65o4 
73i6 
8148 
8971 
9792 

o6r4 
i436 
2257 
3079 



4639472 



5460 
6280 
7101 
7921 

8742 
2 
8382 
1202 
2021 

2841 
366o 
4479 
5298 
61 17 



7754 

8573 

93699391 



0209 

1027 
1845 
2662 
3480 



5ii4 
5931 
6748 
7565 
8382 



oio5 
0931 
1756 
258i 



34063489 



0188 
ioi3 
1839 
2664 



423i 
5o56 
588i 
6705 
7529 

8353 
9177 
♦001 
0825 
i648 

2472 
3295 
4ii8 
4941 
5763 

6586 
74o8 
823 
9053 



43i4 
5i38 
5963 
6787 
7612 

8436 
9260 
0084 
0907 
1731 

2554 

3377 
4200 
5o23 
5846 

6668 
7491 
83i3 
9135 



98759957 



0696 
i5i8 
2340 
3i6i 
39063982 

48o3 



5542 
6362 
7i83 
8oo3 

8824 
9644 
o464 
1283 
2io3 

2923 
3742 
456i 
538o 



5624 
6445 
7265 
8086 

8906 
9726 
o546 
1 365 
2i85 

3oo5 
3824 
4643 
5462 



6199 6281 



7018 
7836 
8655 
9473 
0291 



1927 
2744 
3562 



4297 4379 



5196 
6oi3 



7090 
7918 
8736 
9555 
0373 



109 1191 



2008 
2826 
3643 
446; 

5278 
6095 



68306912 

76477728 
846318545 



0779 
1600 
2422 
3243 
4o64 

4885 
5706 
6527 

7347 
8167 

8988 
9808 
0628 
1447 
2267 

3o86 
3906 
4725 
5544 
6363 

7181 
8000 
8818 
9636 
0454 

1272 
2090 
2908 
3725 
4542 

536o 
6176 



7010 
8626 



0270 

1096 

192 

2746 

3571 

4396 

5221 

6q45 
6870 
7694 

85f8 
9342 
0166 

l^^ 

2636 
3459 
4282 
5io5 
5928 

6750 
7573 
8395 
9217 
♦039 

0861 
1682 
25o4 
3325 



4479 
53o3 
6128 
6952 
7777 
8601 



0248 
1072 
1895 

2719 
3542 
4365 
5 188 
6010 

6833 
7655 

8477 
9299 
U121 

0943 
1765 
2586 
3407 



41464228 



4967 
5788 



7429 
8250 

9070 
9890 
0710 
1529 
2349 

3i68 
3988 

4807 
5626 
6445 

7263 
8082 
8900 
9718 
o536 

i354 
2172 

t^ 

4624 

5441 
6258 
7075 
7892 
8708 



o353 



0435 
1261 



1 178 

20642086 
2829 
3654 



456i 
5386 
6210 
7o35 
7859 

8683 



9424 9507 



5o49 
5870 



66096691 



75ii 
8332 

9152 

997a 

0792 
1611 
243i 

325o 
4070 
4889 
5708 
6526 

7345 
8164 
8982 
9800 
0618 

i436 

2254 

3071 
3889 
4706 

5523 
634o 

7157 
7973 



291 1 
3736 



o33i 
ii54 
1978 

2801 
3624 
4447 
5270 
6092 

6915 

7737 
8559 
938: 

0203 
I025 

i847 
2668 
3489 
43io 

5i3i 
5952 
6773 
7593 
84i4 

9334 
♦o54 
0874 
1693 
25i3 

3332 
4i5i 

4971 
5790 
6608 

7427 
8245 
9064 
9882 
0700 

5i8 
2335 
3i53 
3970 
4788 

56o5 
6422 
7238 
8o55 



87908871 



o5i8 
1 343 
2169 

3S19 

4644 
5468 
6293 

7117 
794 

8765 
9580 
o4i3 
1237 
2060 

2883 
3706 
4529 
5352 



0600 
1426 
2261 
3076 
3901 

4726 
555i 
6375 
7200 
8024 



9672 
0495 
i3i9 
2i4a 

2966 

3789 
4612 
5434 



61756257 



6997 

7820 
8642 
9464 
0286 

1107 
1929 
2750 
3571 
4393 

52i3 
6o34 
6855 
7675 



9316 
oi36 
0956 

1775 
2595 

3414 
4233 
5o52 
5871 



8327 
9146 
9964 
0782 

1599 
2417 
3235 
4o52 



5686 
65o3 
7320 
8i37 
8953 



7079 
7902 
8724 
9546 
o368 

T189 
201 1 

2832 

3654 
4475 

5296 
6116 
6937 

7757 



84968578 



9398 
0218 
io38 
1 857 
2677 

3496 
43i5 
5i34 
5953 



66906772 

75o^ 7591 

-"• 8409 

9227 

♦o45 

o863 

1681 

33i6 
4i34 



48694951 



5768 
6585 
7402 
8218 
9035 



01234 56789 



82 



Diir. 



DiiHlbMiilt. 



83 
166 
249 
332 
4i5 

664 

747 



I 


8a 


2 


i64 


3 


246 


4 


328 


5 


4io 


6 


492 


7 


574 


8 


656 


9 


738 



81 
162 
243 

324 
4o5 
486 

567 
648 
729 



DifilltMaH. 



76 



LOGARITHMS OP NUMBERS. 



Num. 
5330 

21 

aa 
a3 
M 

a5 
a6 

27 
a8 
a9 

53 3o 
3i 
3a 
33 
34 

35 
36 

3? 
38 

39 

53 4o 

4i 

43 

43 
44 

45 
46 
47 
48 

49 
53 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

53 6o 
6i 
6a 
63 
64 

65 
66 

67 
68 
69 

5370 

71 
72 

74 

75 
76 
77 
78 
79 



01234 56789 



725 9ii6;9i98j9a8o|936i 



7a6 0749 
1 565 
a38o 



♦014*0096 
o83o 091 a 
1646 1 7a8 
a46a a544 

3359 
4175 

48374908 

564a 57a4 

6457 6539 66ao< 



31963378 
4oi a 4093 
4908 
5734 



7373 

8087 

8901 

• 9716 

737 o53o 

i344 
2i58 
297a 
3786 



7354 
8168 



89839064 



9797 
061a 



1426 
aa4o 
3o53 
3867 
4599468 



54i3 
6aa6 
7039 
785a 



5494 

6aa6 63o7 

lao 

7933 



866487468827 



9477 9558 



• 
728 6a( 
iioa 
1914 
2726 

3538 



190 0371 
ii83 
1095 
a8o7 



435o443i 
5a4a 



5i6i 

6784 

75957676 
84068487 
93169398 



739 0037 
o838 

i648 
2458 
3a68 
4078 
4888 

5697 
65o7 
7316 
81 a5 



• 9743 

73o o55a 

i36o 

2168 

2977 

3785 
4593 
5400 
6208 
7015 



0177 



7435 
8a5o 



i5o7 
a3ai 
3i35 
3948 
4763 

5575 
6388 
7301 
8oi4 



9640 
o45a 
[a64 
3076 
a888 



0108 
0919 

1739 
a 539 

3349 
4i59 
4969 

5778 
6588 
7397 
8ao6 



7478 
8a87 
893490159096 

98a499o5 
0713 
i5aa 
a33o 
3i 



o63a 
i44i 
3349 
3o57 

3865 
4673 
5481 
6380 
7090 



9443 
oa59 
1075 
1891 
3707 
35aa 
4338 
5i53 
5968 
6783 

7598 
84i3 
9aa7 
♦o4a 
07740856 



1 588 
a4oa 
3ai6 
4o3o 
4843 

5657 

6470 
7383 



36193700378 



45ia 
53a3 

6o546i35 

6865 



0189 
1000 

1810 
a6ao 
343o 



5o5o 



1670 
3484 
3a98 
4iii 
4935 

5738 
655i 
7364 



80968177 



8908 

9731 
o533 
1 346 
3i58 
3970 



4593 
54o4 
6311 
7oa7 

7838 
8649 



7757 
8568 
9379 9460 954 



0370 
1081 

1891 
3701 
35ii 



4a4o43ai 



5i3i 



5859 5940 
6660 



755o 
8368 
9177 

9985 
0794 
i6o3 
a4ii 
»9 



38i3a 



39464027 
47544835 
556a" 



63696450 

7177 



5643 
645o 
7358 



8990 

980a 
o6i4 
1437 
aa39 
3o5i 

3863 

4674 

5486 

66397 



7108 

8730 
I 
635 1 
ii6a 

197a 
a78a 
359a 
44o3 
53ia 

60a I 



67496830 



7640 
844g 
9358 

♦066 
0875 
i683 

3492 
33oo 

4io8 

4916 
5733 
653 1 
7338 



953496069688 



o34i 
ii57 
1973 
3788 

36o4 
4419 
5335 
6o5o 



043a 
ia38 
ao54 
3870 

3685 
45oi 
53i6 
6i3i 



686569467038 



7679776 



8494 
93oo 
01 a3 
0937 

I75i 
3565 
3379 
4193 
5oo6 



5819 5901 

663a 

7445 

8a58 

9071 



0696 
]5o8 
a3ao 
3i33 



o5o4 
i3ao 
ai36 
3951 

3767 
458a 
5398 
6ai3 



8576 
9390 
oao4 
1019 

i833 
3647 
3460 
4374 
5087 



7843 
8657 
9472 
oa86 



1914 
a7a8 
3543 
4355 



598a 
679568766958 



6714 

75277608 

83398431 



91 5a 
98839965 



0777 
1589 
a4oi 
3ai3 



3944 4oa5 



4755 
5567 



63786459654! 
7189 7370 735 1 



80008081 



8811 
96a a 
o43a 
1343 

ao53 
3863 
3673 
4483 
539a 

6ioa 
691 1 
7731 
853o 
9338 

0147 
0956 
1764 
2573 
338i 



5to4 
661 a 



4836 
5648 



889a 
97o3 
o5i3 
i3a4 

ai34 
3944 



5373 



6i83 

609a 

7801 

8610 

941 

oaa8 

io37 

1845 

3653 

346i 

41894369 



5o77 
5885 



97691985 
0585066- 



o58! 
i4oi 
aai7 
3o33 



3849 3930 



4664 



54795561 
6394 6376 
7109 7i9< 
8oo5 
88ao 



7924 

873. 

955 

0367 

1181 



36a 
4437 
5169 5a5o 

6o63 



85o2 
93339315 

♦o46 



o858 
1670 

3483 

3394 

4106 
4918 
5739 

"' io 



76897770 

-'^ 8583 
9396 

oao8 
loai 
i833 
3645 
3457 



23X5 

3oa5 



37543835 
45644645 



5454 



6364 

7073 
788a 



6345 
7i54 
7963 
877a 
995009581 



o3oo 
1 1 18 
1936 

3734 
3543 

435o 
5i58 
5966 



66936773 



74i9<75ool758i 7661 



I 
6667 
i483 

33( 

3i' 



4745 



;9W3o 

39634 

0449 

1363 

3077 
3891 
3704 
45i8 
533i 

6144 



01 37 
0^9 

1733 
3564 
3375 

4187 

58io 
6631 
7433 

8244 



8163 

89739054 
9784 '"■ 



05940675 
i4o5 "' 



3396 



3916 

4736 
5535 



0390 
1198 
3007 
38i5 
3633 

443i 
5339 
6046 



;:?? 



4368 

5o8o 
5891 
6703 
75i4 

8325 
9135 



98659946 



0757 
i567 



, 3377 
3io6^3i87 

4607 
56i6 



6436 
7335 
8o44 
8853 
9662 

0471 
'379 
3088 
3896 
3704 

45i3 
5330 
61 a7 



68546935 



7743 



wmu 1234 56789 



Die 



81 



Diff. 



Difl:^Mali. 



1 


82 


a 


i64 


3 


346 


4 


338 


5 


4io 


6 


493 


7 


574 


8 


656 


9 


738 



81 

162 

343 • 

3a4 
4o5 
486 
567 
648 
739 



DiflllbMaH. 



LOGABITHMS OF NUMBERS. 



77 



N». 12 3 4 

5380 

8i 
8a 
83 
84 
85 



5 6 7 8 9 



730 78a3 7903 7984 ao65 
8630871 1" 
• 9437 
73i oa44 
loSi 



8791 



o334 o4o5 



887a 
951895989679 

1291 



ii3i 



i857 
2663 
3470 



427643564437 



5o8a 



5888 
6693 

74997^7' 



67746854 



83o4 



838* 



9109 9190 



• 9914 

73a 0719 

i5a4 

a3a9 

3i3l 

3938 
4742 
5546 
635o 
7i53 



7957 
8760 
• 

7336367 
1170 

1973 

2775 
3578 



9995 
0800 
i6o5 
2409 
32i4 

4018 
4822 
5626 
643o 
7234 

8037 
884i 



95649644 
0447 

I250 



2o53 

2856 

3658 

438o446i 



5i83 
5985 



67876867 
7588 " 



8390 8470 



9192 
;.9993 



1565 
2396 
3197 

4798 
5598 



7198 



^798 

• 9598 

7350397 

1196 

1995 
2794' 
3593, 
4392' 
6191 



1938 
2744 
355o 



5162 



596860496! 



8465 
9270 



5263 
6o65 



9272 
♦073 



734 0794 0874 0954 



1675 

2476 
3277 

4077 
4878 
5678 



63986478 



7278 



8878 
9678 



1276 

2075 
2874 



2018 
2825 
363i 



5243 



129 

6935 

76607740 

■ "8546 

935i 



♦075 
0880 
i685 
2490 
3294 

4098 
4903 
5707 
65io 
73i4 

81 18 
8921 
9724 
o527 
i33o 

2i33 
2936 
3738 
4541 
5343 

6145 

6947 



or56o236 



7669 7749 7829 



855o 
9352 

oi53 



1755 
2556 
3357 

4i58 
4958 
5758 
6558 
7358 

8t58 



04770557 



i356 

2t55 
2954 



36733753 
447214552 
5270=5350 



2099 
2905 
3712 
45i8 
5324 



6532 
7338 
8143 



66i3 
7418 
8224 
9029 
9753 9834 



0961 
1766 
2570 
3375 



io4i 
i846 
265i 
3455 



41794259 
49835063 



5787 
6591 
7394 

6196 
9001 
9805 
0608 
i4ii 

22l3 

3oi6 



5867 
6671 
7475 

8278 
908a 
9885 
0688 
491 
2294 
3096 



4420 
5224 
6028 
6832 
7636 



1283 
2087 
2892 
3696 

45oi 
53o5 
6109 
6912 
7716 



8359843985 



4621 
5423 

6225 

7027 



8958 9o38 



38193899 
4701 
55o3 

63o5 
7107 
7909 
871 1 
95ta 

o3i3 
iii5 
1916 
2716 
3517 

43i8 
5ii8 
5918 
6718 
75i8 

83i8 
91 18 

99^7 
0717 
i5i6 



9162 

0768 
1 571 

2374 

3i77 



9242 
«o46 
0849 
1 652 

2454 
3257 



85io 
93a5 
0126 



o558 
i363 
2168 
2972 
3777 
458i 
5385 
6189 
6995 
7796 

8600 



0639 
1444 
2248 
3o53 
3857 

4661 
5465 
6260 

7075 
7877 
8680 



94o3 9483 



0206 
0929 1009 



39794069 



87 
88 

89 

5390 

9« 

94 

96 
97 
98 
99 
5400 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 
54 10 
II 
12 
i3 
i4 

i5 
16 

'7 
18 

«9 

5420 

21 

22 

23 
24 
25 

26 

27 

28 

29 
5430 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

»•■. 01234 56789 



863o 
9432 

0233 
io34 
i835 
2636 
3437 

4238 
5o38 
5838 
6638 
7438 

8238 



97589837 



0637 
436 



8i46 
8953 
9760 
0567 
1373 

2180 
2986 
3792 
4598 
54o4 

6aio 
7016 
7821 
8626 
943i 



2235 23 1 5 
3o34 3ii4 
3833 3913 

4632|47" 
543o'55io 



82268307 
9033 91 14 



9840 
0647 
1454 

2260 
3067 
3873 

4679 
5485 

6291 
7096 
7902 

8707 
9512 

o3i7 
II 22 
1927 
2731 
3535 

4340 
5i44 
5948 
6752 
7555 



8388 
9195 
♦002 
0809 
i6i5 

2422 
3228 
4o34 
484o 
5646 

6452 
7257 
8o63 
8868 
9673 

0397 0478 
202 
2007 
2812 
36i6 



9921 

0728 

534 

234i 
3 147 
3953 
4750 
5565 

6371 

7177 
7982 

8787 
9592 



4781 
5584 

6386 

7187 



3597 

4398 
5198 

6798 
7598 

8398 
9198 
9997 



0797 
1596 

2395 
3194 
3993 

4791 



559o|567< 



4862 
5664 



7268 
79898069 
8791 -- 
9592 

0393 
1 195 
1996 



8871 
9672 

0474 

275 

2076 



27962877 



3677 

4478 
5278 
6078 
6878 
7678 

8478 



♦077 
0877 
1676 

2475 
3274 
4073 
4871 



8468 8549 
92769356 



0082 
0889 
1696 

2502 
3309 

4ii5 
4921 
5727 



1732 

2535 
3337 
4i4o 
4942 
5744 



o554 
i355 
2i56 
2957 
3757 

4558 
5358 
61 58 
6958 
7758 

8558 



9278 9358 9438 



01 57 
0957 
1756 

2555 
3354 
4i52 



oi63 
0970 
1776 

2583 

3' 

4i, 

5o6i 

5807 



1812 

2615 

3417 
4220 

5o22 

5824 



6466654666266706 



7428 



7348 

8i5o823o 
8951 
9752 



903 1 
9833 



1435 

2236 

3o37 
3837 

4638 
5438 
6238 
7o38 
7838 

8638 



0237 
io36 
i836 

2635 
3434 

4232 

5o3i 



0287 
1090 
1892 

2695 
3498 
43oo 

5l02 

5904 



75o8 
83 10 
9111 
9913 



06340714 



i5i5 
23i6 
3ii7 
3917 

47t8 
55i8 
63 18 
7118 
7918 

8718 
9518 
o3i7 
II 16 
1916 

2715 
35i3 
43i2 
5iii 



574958295909 



Diir. 



80 



DifT. k. Mult. 



81 
162 
243 
324 

4o5 
486 
567 
648 
729 



I 


80 


a 


160 


3 


240 


4 


320 


5 


400 


6 


48o 


7 


56o 


8 


64o 


9 


720 



M 

a37 
3i6 
395 
474 
553 
632 
711 



DiA 



DifilltMoH. 



78 



LOGARITHMS OF NUMBERS. 



Num. 

5440 

4i 
43 
43 
44 

45 

46 
47 
48 

49 

54 5o 

5[ 

52 

53 

54 

55 
56 

57 
58 
59 

54 6o 
6i 
6a 
63 
64 

65 
66 
67 
68 
69 

5470 
71 
72 
73 
74 

75 
76 
77 
78 
79 
54 80 
81 
83 
83 
84 

85 
86 
87 
88 
89 

5490 
9' 

ti 
$ 

98 
99 

Nan* 



01234 56789 



73559896069(6 
6787™ ' 
7585 
8383 
9181 



. »i49 
68676947 
7665 - 
8463 
9261 



•99? 

736o77< 

1 574 

2371 

3i68 

3965 
4762 
5558 
6355 
7i5i 

7948 

8744 

• 9540 

7370335 

ii3i 

1926 
2722 

35i7 
43i2 
5107 

5902 
6696 



♦o! 

08! 

i653 

2451 

3248 

4o45 
484i 
5638 
6435 
723 1 

8027 
8823 
9619- 
o4i5« 



2801 
3596 
43o2 
5f86 

5981 
6776 
7570 
8364 



907991599238 



• 9873 
7380667 

i46i 
2254 
3o48 

384i 
4634 
5427 
6220 
701 3 

7806 

8598 

• 

7396162 
0974 

1766 
2558 
335o 
4i4i 
4932 

5723 
65i4 
73o5 
8096 
8887 

• 9677 
7400467 

1257 
2047 
2837 



7745 
8543 
9341 

oi38 
0936 
1733 
253o 
3327 

4ia4 
4921 
5718 
65i4 
73ii 

8107 
doo3 
9699 
0494 
1290 

20062086 
2881 
3676 
4471 
5266 

6061 
6855 
7650 
8444 



9953 

0747 
1 540 
2334 
3i27 

3921 
4714 
5507 
63oo 
7092 

7885 
8677 
9470 
0262 
io54 

i845 
2637 

3429 
4220 
Soil 

58o3 
65q4 
7384 
8175 



o546 
i336 
2126 
2916 



6225 
7027 
7825 
8623 
9420 

oai8 
1016 
8i3 
2610 
3407 

4204 
5ooi 

5797 
6594 



♦o32 

0826 

1620 
24i3 
3207 



7172 
7964 



1925 
2716 
35o8 



5091 

5882 
6673 
7463 
8254 



975698359914 
0704 
i4q4 
2284 
3o74 



0625 
i4i5 

2205 

2925 



63o8 
7107 
7905 
870a 
9500 

0298 
looS 

"^ 

2690 

3487 

4a84 
5o8o 
5877 
6674 



4ooo4o79|4i59 
4952 
5745 
6537 
733o 



4872 
5665 



63796458 



725i 
8043 



8t23 
875688368915 
9707 
0499 
1 291 



9549 9628 
o34i " 
ii33 



0420 
1212 



2004 
2796 
3587 



4299 4378 



5170 

5961 

6752 
7543 
8333 



8966 9045 9124 9203 



739074^ 

8266 
9062 
9858 
0654 
1449 

aa45 
3o4o 
3835 
463o 
5425 

6220 
7014 
7808 
86o3 
9397 
0191 
0985 
1778 
257a 
3365 



2o83 
2875 
3666 
4458 
5249 

6o4o 
683 1 
7622 
8412 



0763 
1573 
2363 
3i53 



63886468 
7186 7266 
"8064 
8862 



7984 
8782 



9580 9660 9740 9819 9899 



0378 0457 0537 0617 



2770 2849 292* 



3646 

4443 
5240 



59576036 
67536833 
75497629 

83468425 
9221 
♦017 
o8i3 
1608 

24o4 
31193199 



3914 
4709 
55o4 



47894868 
5584 5663 



6299637864586537 



7094 
7888 



7173 
7967 
876a 



947695569635 



97I 

0578 

1370 

2162 
2954 
3745 
4537 
5328 



6910 
7701 
84qi 
9282 

♦072 
0862 
i652 
2442 

3232 



6548 
7346 
8i44 
8942 



1255 

2o52 



5^? 

4523 
5319 
61 10 
6912 

7709 
85o5 
9301 



00970176 



0892 
1688 

2483 
3278 
4074 



7252 
8047 

884i 



02700350 
1064 " 
1858 
265i 
3445 



662816707 



7426 
8aa4 
9oaa 



1 335 
ai3a 



i4i4 
aaia 
3009 
38o6 

46oa 

53. 

6i< 

8584 



547? 
6a75 
707a 
7868 

8664 
93809460 



0972 
1767 
a563 
3358 
4i53 
4948 
5743 



98669945 



61196108637763566435 



7068 



778078597938 
857086498738 



7506 
83o4 
9101 



0697 
1494 
a 291 
3o88 
3885 



7332 
8126 
8920 
9714 



o4aoo5o8 
I32J i3o2 
2016 
28 
36o3 



439644764555 
5190 

6062 

6854 

7647 



844o85 



9332 
♦024 
0816 
1608 

a4oo 
3191 
3983 

4774 
5565 



7147 



7aa6 

8017 

8808 

944695199598 

033o o3o9 o388 

ro30 

1810 

2600 

339034693548 



0356 
io5i 
i847 

3642 

3437 
4233 
5027 

5833 

6617 
74" 
8306 
9000 
9794 

o588 
i383 
3175 

3763 



53695348 

" " 6i4i 
6934 
7726 



19 
9311 
oio3 
0895 
1687 

2479 
3370 
4063 
4853 
5644 



1 178 
, 1968 
2679 2758 



mH. Dili: k. M«1L 



79 



12 3 4 



5 6 7 8 9 



DifC I Diir.4tM«]l. 



LOGARITHMS OF NUMBERS. 



79 



1234 56789 



Diff. DifT.&Mult. 



5500 

Of 
03 

o3 
o4 

o5 
o6 

07 
08 

09 
55 10 
II 
12 
i3 
14 

i5 
16 

17 
18 

'9 

55 30 

ai 

23 

u 

25 

26 
27 
28 
29 

55 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 
5540 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

55 5o 

5i 

52 

53 
54 

55 
56 

57 
58 

Nun. 



923093089387 

0007 

o885 



• 9391 

742 0177 
0964 
1750 
2537 



57595837 
646665446623 



7251 
8o37 
8822 

• 9607 
7430392 

1176 
1961 
2745 
353o 
43i4 

5098 
5882 
6665 



8232 



90169094 



7440562 
1 365 
2147 

2930 
3712 
4495 

5277 



3oo8 
3791 
4573 
5355 
60596137 



84o4848 



» 9967 



64oo647^ 
7187 



7974 
8761 



8ii5 
8900 
9685 
0470 

255 
2039 
2824 
36o8 
4392 



5960 

6744 

74497527 



83ii 



918593649342 



♦o45 



3785 3864 
45744653 



88408919 



73307408 



8194 



i333 
2118 
2902 
3686 



5176 5254 



6o38 
6822 
7605 
8389 

9172 
9955 



465 1 
5433 
6215 

6997 
7779 
856o 



7880 
8678 
9466 
0255 
1043 

i83i 
3619 
3407 
4195 
4983 

5770 
6557 
7345 
8i32 



9548 9637 97o5 

o4i3 

1 300 

1986206! 
--2851 

3637 
4433 
5209 

6780 

7565 
835 1 
91 36 
9921 



7487 
8272 



89799057 
7649842 
549 0637 0705 



i4i3 
2106 
2981 
3765 



4470 4549 4627 



5333 
6117 



7684 
8467 



♦o34 
07380817 

3i65 



3o86 
3869 3947 



4i2i 
551 
6293 

7075 
7867 
8638 
9420 



0T23i0201 



1490 
2275 

3o59 
3843 



54" 
6195 



69006979 



7762 
8546 



9250 9329 



0112 
0895 
1678 
2460 

3243 
4o25 



194807 



5590 
6373 

71 53 
7935 
8717 
9498 
0^79 



4o33 
481I 

56oi 
6390 
7179 

7968 
8756 



6548 
7337 

8135 

8914 

9545 9634 9703 



o334 



1910 
3698 
3486 



43744353 



5o6i 

584< 

66: 

7423 

8310 

8997 



5i4o 

138 

6715 
75o3 

8289 
9076 < 



49 59: 
.36671 



6006 
6704 

758i 
8368 
9155 

97849863994 



0571 
i357 
3144 
3930 

3716 
45o2 
5288 
6073 



0649 
i436 
2222 
3oo8 

3794 
458o 
5366 
6i52 



9214 

0784 < 

i569 
3353 
3i37 
3922 



5490 
6273 
7057 
7841 
8624 



0190 
0973 
1756 
3539 

333 T 

4io3 



5668 
645o 

7239 
801 3 
8795 



o357 



6466 
7358 

8047 
8835 



o4i3 

I30I 

1989 

3777 

3565 



o4qi 
1 380 

3068 
2856 
3644 
443i 



5319 5398 



I 
6728 
i5i5 
33oi 

3087 
3873 

4650 
5445 
633o 
7016 

7801 
8586 
9371 
01 56 
0941 
1735 

25lO 

3294 

4078 

470647844862 



68596937 
7644 



7722 



84298508 



9293 
♦078 
0862 

1647 
243 1 
32t6 
4000 



5568 
6352 
7135 

7919 

8702 



9407 9485 



0268 
io5i 
i834 
2617 

33q9 
4182 
4964 
5746 
6528 

73io 
8091 
8873 



95769654 



0435 



4i8o 



4101 
4890 ^ 
567957! 



^ 



i358 

3146 
3935 
3722 
45io 



6o85 
6872 
7660 
8447 
9233 

♦030 
0807 
1593 
3379 

3i66 
3953 

4737 
5523 



63096387 



o347 
ii3o 
1912 
2695 

3478 
4360 
5o42 
5834 
6606 

7388 
8170 
8951 
9732 
o5i4 



43 

5oi 

5837 

6636 

74i5 



4338 
5i37 
5916 
6705 
7494 

8383 
9072 



8304 
8903 
9783, 
0570 0649 



1437 

3335 
3oi3 
38oi 
4589 
5376 

6164 
6951 

7738 
8535 
93x3 

^ 

1673 
2458 
3244 

4o3o 
4816 
56o2 



7094 



8665 



5646 
643o 
7214 

95649642 



0235 
1019 

1804 
2588 
3373 
4i57 
4941 

5725 
65o8 
7293 
8076 



0425 
1208 
1991 

2773 

3556 
4338 

5l20 

5902 
6684 

7466 
8248 
9029 
9810 
0592 



7173 



7880 7958 



8743 



945o 9528 

"'0313 

1098 

1882 
2667 
345i 
4335 
5019 

58o3 
6587 
7370 
8i54 



88598937 

9730 
o5o3 
1386 
3069 

3853 



3634 
4416 

6763 
7544 

8336 
9107 

0670 



337 
3i6 
395 
474 
553 
633 
711 



78 
1 56 
334 

3l3 

390 
468 
546 
634 
703 



12 3 4 



5 6 7 8 9 



Din: Diff.JtMnlt. 



80 



L06ABITHM8 OF NUMBERS. 



Num. 

5960 

6i 
6a 
63 
64 

65 
66 
67 
68 
69 

5570 

71 
72 

73 
74 

75 
76 
77 
78 
79 

55 80 
81 
83 
83 
84 

85 
86 
87 
88 
89 

5590 

91 

92 

94 

97 
98 

99 

56 00 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 
56 10 
II 
12 
i3 
14 

i5 
16 

17 
x8 

»9 

Nam. 



12 3 4 



5 6 



8 9 Dur. 



7450748,0826 
1529 1607 



a3io 
3091 
3871 

4652 
5432 
6212 
6992 

7772 

855a 

• 9332 

746 01 1 1 
0890 
1670 

2449 
3228 
4006 
4785 
5564 

6342 
7120 
7898 
8676 

• 9454 

747 0232 
1009 
1787 

2564 
3341 

4ii8 



2388 

31693247 

39494027 

47304808 



55io 

62906368 

7070 



5672 
6448 

7225 

8001 

8777 

» 9553 

7480329 

iio5 

1880 
2656 
343i 
4206 
4981 

5756 
653 1 
73o6 
8080 
8854 

• 9620 

749o4o3 

1177 

1950 

2724 

3498 
4371 
5o44 
58x7 
6590 



785o 7928 

86308708 

9410 

0189 

0968 

1748 

2527 
33o6 3383 



4o84 
4863 
564i 

6420 
7198 

7976 
8754 
9532 



6498 
7276 
8o54 
8832 
9610 

o3ioo387 
ii65 
1942 



4196 
48954973 



574? 
6526 
73o2 

8079 
8855 
963 1 
0407 
1 182 

1958 
2733 
3509 
4284 



0904 
i685 
2466 



0982 
1763 
a544 
3325 



5588 
6368 
7x48 



4io54i83 

48864964 
— 5744 



9487 
0267 
io46 
1825 

2605 



5666 

64466524 
72267304 
80068084 

87868864 
95659643 
~ ' 0423 
1202 
1081 



o345 
1 124 
1903 

26822760 
3461 3539 
4a4o43i8 
50195097 
' 5875 



4162 

4941 

5719J5797 
6575 
7354 
8i32 
8910 
9687 

o465 
1243 
2020 



1087 
1864 
2642 
34193497 



o484 
1260 

2o35 
281 1 
3586 
436i 



8235 
9009 



5o59 5i36 

5834 
6608 
7383 
8157 
8932 

97069783 
o48o " 
1254 
2028 
2801 

3575 
4348 
5i2a 
5895 
6668 



0557 
i33i 
aio5 
a879 

3652 
4436 
5199 
5972 
6745 



1060 
i84i 
2622 
34o3 



27192797 
•^ ' 3574 



435i 
128 
5905 
668 



4a73 
5o5o5 
5827 
66o3 
7380 7458 

81568234 
8932 9010 
970897869863 



o562 
1337 

2Il3 



3664 
4439 
5214 

5( 



7460 7538 



83i2 
9087 

9861 
o635 
1409 
2i83 
2956 

373o 



6653 
743i 
8210 

8987 
9765 

o543 

l320 

2098 
2875 

3652 

4429 
5206 
5982 
6750 
7535 

83ii 
9087 



0639 
i4i5 

2190 
2966 
3741 
45i6 
5291 

6066 
684i 
7615 
8300 
9164 

9938 

0712 
i486 
2260 
3o34 

3807 
45o3;458o 
5276:5353 
60496127 
68226899 



ii38 
1919 
3700 
3481 
4a6i 

5o4a 
5822 
6602 
7382 
8162 

8942 
9721 
o5oi 
1280 
2059 

2838 
36i7 



o579|( 
1 358. 
2i37 

2916 

3695 

43964474 



5i74 



5963 6o3i 



6731 



680968876965 



75097587 



9242 

♦016 
0700 
1 564 
2337 
3iii 

3884 
4658 
543i 
6204 
6977 



217 
1998 
2778 
3559 



43404418 
5i 205198 



746o 



8240 83i8 



9020 9098 9176 9254 
♦o33 



979998779955 



5252 



0657 

i436 

22l5 

?994 

3773 
4552 
533o 



6108 61866264 



8365 
9143 
9921 



8287 
9065 
9843 

o6ai 
1398 
2175 
2953 
3730 

45o7 
5a83 
6o6o6i38 
914 



7665 
8443 
9221 

9998 



0698 0776 o854 093! 
i476i554i63i 17a 



1476 

2253 

3o3o 
38o7 

4584 
536i 



9243 
♦01 
0794 
1570 

2346 

3l2I 



381938963974 



4671 

5446 



0093 
0867 
i64i 
24i5 
3i88 

3962 
4735 
55o8 
6a8i 

7054 



1295 
2076 
2856 
3637 



44964574 

52765354 
597860566134 



58 

7538 



1554 
233i 
3io8 
3885 

4662 
543o 
6215 



8467 854486: 



9320 
900960174 
0872 ' 
i648 

2433 
3198 



6t 



'99 

7073 
7848 
8622 



63766453 



6221 
6996 
7770 
8545 
931993969474955 



0170 
0944 
1718 
2492 
3266 

4o39 
4812 
5585 
6358 

7i3 



i373|i45i 



2i54 
2934 
3715 



68366014 
76167694 
83968474 



0735 o8i3 



i5i4 
2393 

3072 
385 1 
4629 
5408 



1592 

2371 

3i5o 
3929 

4707 
5486 



7743 
8521 
9290 
♦076 



7042 
7821 
8598 
9376 
01 54 

1700 
2486 
3263 



47494826 
5524 "" 



7i5i 
79^5 



1 



H 4 



5 G 7 



0248 
1022 
1796 
2569 
3343 

4ii6 
4890 
5663 
6436 
7209 

8 



2233 

3oi3 

3793 



i63i 

2400| 

3i86 
39634640 



47404817 




7228 
8oo3 



87008777 
"'i 



o325 

\^ 

2647 
3420 

4194 

4967 
5740 
65i3 
7286 



Ditr. 



Diffl^tMuh. 



DiftlbMaft. 



LOGARITHMS OF NUMBERS 



81 



Nam. 
5620 

21 
22 
23 
24 

25 

26 
27 
2d 
29 

56 3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

56 4o 
41 
42 
43 
44 

45 
46 
47 
48 

49 
56 5o 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

56 60 
61 
62 
63 
64 

65 
66 

67 
68 

69 

5670 

71 
72 
73 
74 

75 
76 
77 
78 
79 
Noni. 



12 3 4 



5 6 7 8 9 



749 7363 

8i36 

8908 

# 9681 

75o 0453 

1235 

1997 

2769 
3541 
43i2 

5o84 
5855 
6626 
73o8 
8168 



89399016 



• 9710 
75 1 o48o 

125l 



2791 
356i 
433 1 
5ioi 
5870 



66396716 



7400 
8178 
8947 



• 97169793 



752 o484 
1253 
2022 
2790 
3558 



o56i 
i33o 
2098 
2867 
3635 

43264403 



5094 
5862 
6629 67< 



753 < 



8893 897< 

• 96599735 

7540424* ' 

1189 

J954 

3719 



7440 
8213 
8986 
9758 
o53o 

i3o2 
2074 
2846 
36i$ 
4390 

5i6i 
5932 
6704 
7475 
8246 



9787 
0557 
1 328 
2098 

2868 
3638 

4408 
5i77 
5947 



7486 
8255 
9024 



5171 

g^ 
7474 

8241 
9008 
9r75 
o542 
1 309 

2076 
2843 
3609 
4375 
5i4i 



5907 
6673 



8204 
o 



o5oo 
1265 
2o3o 

2795 



75 18 

9063 

9835 
0608 

r38o 

2l52 
2924 
3695 



5238 
6010 
6781 
7552 
8323 

98^4 
o634 
i4o5 
2175 

2945 
3715 
4485 
5254 
6024 

6793 
7563 
8332 
9101 



9140 
9913 
o685 

1457 
2229 
3ooi 

3772 
4544 

53i5 
6087 
6858 



84oo 
9170 

9941 
071 1 
1482 

2252 

3022 
3702 

4562 
533i 
6101 

6870 



o638 
1 407 
2175 
2944 
3712 



4452 
5218 



5984 

6750 

74397515 

-^ -8281 



7629 7706 



76397716 



84oo 
9178 



9870 9946 ^023 



9046 91 23 

9812 
o577 
i342 
2107 
2872 



7672 
8445 
9217 



1 534 
23o6 
3078 
385o 
4621 

5392 
6i64 
6935 



8477 

9247 
♦018 
0789 
1559 
2329 

^ 

463o 
5408 
6178 

6947 



8485 
9254 



079a 
i56o 
2329 



4633 
5401 
6i( 



7704 

8471 
9238 
♦oo5 
0772 
1539 

23o6 
3072 
3839 
46o5 
5371 

6i37 
6903 
7668 
8434 
9199 

9965 
0730 
i4g5 
2260 
3o25 



775o 

8522 

9295 
♦067 



0839 0916 0994 



161 1 
2383 
3i55 
3927 
4698 

5470 
6241 
7012 
7783 
8554 

9325 
0095 
0866 
i636 
2406 

3176 



1688 
2460 

3232 

4oo4 
4775 

5547 
63i8 
708971 
7860 
863 1 



3946 4o23 



4716 
5485 
6255 

7024 
77o3 
8562 
933 r 
0100 



4793 
5562 
6332 

7101 
7870 
863o 
9408 
0177 



i637 
2406 
3i74 
3942 

4710 
5478 
6246 
701 3 
7781 

8548 
93i5 
0082 
0849 
1616 

2382 

3 149 
3915 
4082 
5448 

6214 
85ii 



♦o4i 
0806 
1 571 
2336 
3ioi 



7827 

8599 
9372 
0144 



9402 
0172 
0943 
1713 
2483 

3253 



08690946 



4787 
5555 

6322 

7090 

7857 

8625 
9392 
oiSo 
0926 
1092 

2459 

3220 

3- 

18 



5524 

6290 
7o56 
7822 
8587 



9276 9353 9429 



0118 
o883 
i648 
241 3 
3178 



7904 
8677 



9449 9526 9604 



0299 
1071 

1843 
2615 
3387 
4i58 
4930 

5701 
6472 
7243 
8oi4 
8785 



5624 

7937 
8708 

9479 9*556 9633 



0249 
1020 



o326 
1097 
1867 
2637 

3407 
4177 
4947 
5716 
6486 

7255 
8024 
8793 
9562 
o33i 



1714 
2483 
325i 
4019 4096 417 



6367 
71 33 
7898 
8664 



oio4 
0959 
1724 
2489 
3254 



7981 
8754 



4864 
563i 
63o9 
7167 
7934 

8701 8778 
9469 9545 
0236 
1002 
1769 

2536 
33o2 
4069 
4835 
56oi 



5754 

65 20 
7286 
8o5i 
8817 



6443 
7209 
7975 
8740 
9506 9582 

0271 o347 

io36 

1801 

2566 

333o 



Diff*. 



Difl-.&Malu 



77 



77 
1 54 

23l 

3o8 
365 
462 
539 
616 
693 



76 
1^2 
228 
3o4 
38o 
456 
532 
608 
684 



01234 56789 
11 



Dim 



Diff.lt Mult. 



82 


LOGARITHMS OF NUMBERS. | 


Num. 
5680 


01234 56789 


JHtt. 


Diir^MvlL 


754 3483 


356o 


363^ 


3713 


3789 


3866 


3942 


4010,4095 


4171 






8i 


4a48 


4324 


4401 


4477 


4554 


463o 


4707 


4783 


4859 


4936 






8a 


5oi2 


5089 
5853 


5i65 


5242 


53i8 


6i5c 


5471 


5547 


5624 


5700 






63 


5777 


^ 


6006 


6082 


6235 


63ii 


6388 


6464 






84 


654i 


6617 


6770 


6846 


6999 


7076 


7i5a 


7228 






85 
86 


^ 73o5 
8069 


738i 
8145 


7457 
8221 


7534 
8208 
9061 


7610 
8374 


7687 
845o 


8527 


oood 


'^ 


1% 






8? 


8832 


8009 
9672 


8985 


9i38 


9214 


tX 


9367 


9443 


9520 






88 


755o3?9 


9749 


9825 


^l 


9978 


oi3o 


0207 


oa83 






89 


0436 


o5i2 


o588 


0741 


0817 


0894 


0970 


io46 




I 


77 


5690 


II23 


1109 
1962 


1275 


i352 


1428 


i5o4 


i58i 


i657 


1733 


1810 




3 
3 
4 
5 
6 
7 


i54 
a3i 
3o8 
385 
462 

6il 


9' 


1886 


2o38 


2Il5 


2191 
2954 


2267 


2344 


2420 


2496 
3259 


2573 




92 


a649 


2725 


2803 


2878 


3o3o 


3io7 


3i83 


3336 




93 


3412 


3488 


3564 


3641 


3717 


4^?^ 


3870 


3946 


4022 


4008 




94 


4175 


425i 


4327 


44o3 


4480 


4632 


4709 


4785 


486i 




95 


4937 


5oi4 


58?^ 


5i66 


5242 


5319 


6i?7 


5471 


5547 


5624 




8 


96 


5700 


5776 


7453 


6oo5 


6o8i[ 


6233 


63io 


6386 




9 


693 


97 
98 


6462 
• 7224 


6538 
73oi 


66i5 

7377 


6767 
7529 


6843 
7606 


6920 
7682 


^ 


7072 
7834 


7148 
7910 
8672 






99 


7987 


8o63 


8139 


8215 


8291 


8368 


8444 


8520 


8596 






5700 


8749 


8825 


8901 
9663 


8977 


9053 


91 3o 


9206 


9282 


9358 


9434 






01 


• 9510 


9587 


9739 


9815 


^l 


9967 


♦044 


0120 


0196 
0958 






02 


756 0272 


o348 


0424 


o5oi 


0577 


0729 


o8o5 


0881 






o3 


io34 


mo 


1186 


1262 


i338 


i4i4 


1491 


i567 


1643 


1719 






04 


1795 


1871 


1947 


2024 


2100 


2176 


2252 


2328 


2404 


2480 






o5 


2556 


2633 


2709 


2785 


2861 


2037 


3oi3 


3089 


3i65 


3242 






06 


33i8 


33o4 
4i55 


3470 


3546 


3622 


3098 


3774 


385o 


468? 


4oo3 






07 


4079 


423i 


4307 


4383 


4459 


4535 


46ii 


4764 






08 


484o 


z 


^l 


5o68 


5i44 


5220 


5296 
6o57 


5372 


5448 


5524 






09 


56oo 


5829 


5905 


5981 


61 33 


6209 


6285 






5710 


636i 


6437 


65i3 


6589 


6665 


6741 


6817 


% 


6970 


7046 






II 


7122 


7198 
7958 


7274 


7350 


7426 


75o2 


7578 


773o 


7806 






12 


7882 


8o34 


81 10 


8186 


8262 


8338 


84i4 


8490 
9250 


8566 






i3 


864i 


8718 


8704 
9554 


8870 


8946 


9022 


^ 


9174 


9326 






14 


• 9402 


9478 


963o 


9706 


9782 


9934 


♦010 


0086 


•76 




i5 


7570162 


0238 


o3i4 


^^ 


o466 


o542 


0618 


0694 
1454 


0770 


o846 






16 


0922 
1682 


???^ 


1074 


1226 


l302 


1378 


i53o 


1606 






17 


i834 


1910 
2669 
3429 


1986 


2062 


2i38 


2214 


2290 


2366 






18 
19 


2442 
3201 


25i7 

3277 


33?3 


2745 
35o5 


2821 
358i 


2897 
3657 


2973 
3733 


3049 
38o8 


3i25 
3884 






5720 


3960 


4o36 


4lI2 


4188 


4264 


4340 


44i6 


5i?? 


4568 


4644 






21 


4719 


47?5 
5554 


4871 


4947 


5o23 


^ 


5i75 


5327 


54o3 






22 


5479 


563o 


5706 


5782 




6010 


6086 


6162 






23 


6237 


63i3 


6389 
7148 


6465 


654i 


6617 


6693 


6769 


6845 


6920 
7679 




I 


r 


U 


6996 


7072 


7224 


7300 


7376 


745i 


7527 


7603 




3 

3 
4 


1 53 

328 
3o4 


25 


7755 


783i 


7907 


7982 


8o58 


8i34 


8210 


8286 


8362 


8438 




26 


85i3 


8589 
9348 


8665 


8741 


8817 


88o3 


8968 


9044 


9120 


^ 




5 


38o 


^Z 


9272 


9423 


tlU 


9575 


9651 


9727 


9803 


9878 




6. 


456 


28 


758oo3o 


0106 


0182 


o333 


0409 


0485 


o56i 


0637 


0712 




7 


533 


29 


0788 


0864 


0940 


1016 


1091 


1 167 


1243 


i3i9 


1395 


1470 




8 


608 


5730 

3i 


i546 
23o4 


1622 
238o 


'X 


1774 
253i 


1849 
2607 


1925 
2683 


2001 


2077 


2i53 
2910 
3668 


2228 
2986 




9 


684 


2759 3835 




32 


3062 


3i38 


32i3 


3289 


3365 


3441 


35i6 3592 


3744 






33 


3819 


46?3 


3971 


4o47 


4l22 




4274 


435o 


4425 


45oi 






34 


4577 


4728 


48o4 


4880 


5o3i 


5io7 


5i83 


5258 






35 


5334 


5410 


5486 556i 


5637 


5713 


5789 


5864 


5940 6016 






36 


6091 


6167 


6243 


63i9 


^ 


6470 


65466621 


66976773 






38 


6848 


6024 
7681 


7000 


7070 


7227 


73037378 


74547530 






7605 


7757 


7832 


7908 


7984 


80608135 


821 1 8287 






39 

Num. 


8362 


8438 


85i48589i8665 


8741 


8816I8892 


89689043 






01234 567891 


Dim 


DUr.^MQlL 



LOGARITHMS OF NUMBERS. 



Nvm. 

«T40 

4i 

42 

43 

44 

45 
46 
47 
4» 
49 
5750 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

5760 
61 
6a 
63 
64 

65 
66 

67 

68 

69 
5770 
71 
7a 
73 
74 

75 
76 
77 
78 
79 
5760 
81 
8a 
83 
84 

85 
86 
87 
88 

89 

5790 

9' 
9a 

t 

98 

99 

Nam. 



12 3 4 



758 91 1 < 

• 9871 

759 o63a 
• i388 

ai44 

3900 

3656 
44ia 
5i68 
59a3 

6678 
7434 
8189 
8944 

• 9699 
7600453 

iao8 
196a 
2717 
3471 

4aa5 

6486 
7240 



9105 
99^1 
0708 
i464 
aaao 

2976 
373a 
4488 
5a43 



761 oa53 
ioo5 

• 1758 
a5i 
3a63 
4oi6 
4768 



76aoo3ooio5, 



0781 
i53a 
2a83 

3o34 
3784 
4535 
5a85 
6o35 



7536 761 1 
8a86836i 



9a70 9346 

♦oa7 

0783 

1539 

aa96 

3o5a 
3807 
4563 
5319 



59996074 
6754 



5o54 
58o8 
656a 
73i5 

8068 
88aa 



8746 

95009575 

"*o3a8 

1081 

i833 



3338 
4091 
4843 



5520 5595 

627a 

7024 

7775 

8527 



860a 



oioa 

0859 

6i5 

a37i 

3ia7 
3883 



4639 4714 



683o 
75097535 
8a64 ""^ ' 
9019 

9774 

0529 
ia83 
ao38 
a792 
3546 

43004376 



8340 

i5 
o 

0604 
i35o 
aii3 
a867 
36a a 



5i3o 
5883 
6637 
7390 

8144 
8807 
9660 
o4o3 
ii56 

1909 



53o4 
6i5o 

6905 

7660 
84i5 
9170 
99a 5 

0680 
1434 
a 189 

\^ 
3697 

445i 
5ao5 



a586 a66i a737 



34i4 
4i66 



5670 
6347]642a 

78517926 



8677 f 



9378 9354 94a9 95o4 9579 



0180 
0856093 1 



1607 
a358 



i68a 
a433 



3109 3i84 
38593934 
46to4o85 
536o5435 
61 1 1 6186 

6936 
7686 
8435 
9185 



9035 91 10 9185 9360 9335 
• 9785 9860*9935 ♦oio oo85 

763 o534 o6o9'o684 0759 o834 
ia84 13591434 i5ooi583 
ao33aio8'ai83aa58a333 
278a a857 a93a 3oo7 3o8a 
353i 36o6368i 3756 3831 



94aa 
0178 
0934 
1691 

2447 

3ao3 
3959 



5470 
6aa5 

6981 
7736 
8491 
9246 
♦000 

0755 
i5io 
aa64 
3oi8 

3772 

45a6 
5a8o 



5959 6o34 



671a 
7466 

8ai9 
897a 



97a5 9801 



0478 
ia3 



4a4i 



4918 4993 



8001 
875a 



oa55 
1006 

1757 
a5o8 

3a59 



4760 
55io 
6a6i 

7011 
7761 
85io 



6788 
7541 

8a94 
9048 



o554 
i3o7 

ao59 
a8ia 



34893564 

' ' 43i6 

5069 

58ai 
6573 



5745 
6497 
7a49 73a4 



8076 
88a8 



o33o 
1081 
i83a 
a583 

3334 



40094085 



4835 
5585 
6336 

7086 
7836 
8585 



5 6 7 8 9 



oa§4 

lOIO 

1766 
a5aa 

3378 
4o34 

4790 
5545 
63oi 

7o56 

78 

8566 
93a I 
0076 

o83i 
i585 



9573 
o3a9 
1086 
1 84a 
a598 

3354 
4iio 
4865 
56a I 



6376645a 



7i3a 
7887 
864a 

9397 
oi5t 

0906 
1661 



a339a4i5 



3094 
3848 

46oa 
5356 
6109 
6863 
7616 



3i6o 
39a3 

4677 
543i 
6i85 
6o38 
7692 

83708445 



91 a3 
9876,, 
o6a9 0704 078* 
i38a - •"- 



ai34 
2887 
3639 
439a 
5i44 

5896 
6648 
74oo 
8i5i 



9654 
o4o5 
ii56 
1007 
a658 



4i6o 
49 JO 
566o 
64ii 

7161 
7gii 
8660 
9410 



1 

a4o8 
3t57 



o4oi 
1161 
1017 
a674 

34ai 
4i8: 
4941 
5696 



7ao7 
796a 
8717 
9472 
oaa7 

0981 
1736 
3490 
3a45 

3999 
4753 



1457 

aaio 
3963 
3715 
4467 
5ai9 

7475 
8aa6 



6a6o 
7014 

7767 

85ao 
9274 
♦037 
^o 
1 53a 



8903 8978 



ia3a 
198a 
a733 



340934843559 



4a35 
4985 
5735 



7a36 
7986 
8735 



0160 oa35 



0909 0984 1059 
i658 1733 1808 

a48a 

3a3a 



390639804055 



9724 
0481 
ia37 
1993 
2749 
35o5 
4261' 
5oi6 
5772 
6527 

7a83 
8o38 
8793 
9548 
o3oa 

io57 
1811 
a566 
33ao 
4074 

48a8 
55o6 558a 



6335 
7089 
7842 

85968671 

9349 

oioa 

o855 

1608 



aa85 
3o37 
3790 
454a 
5294 

6o46 
6708 
755o 
83o 



9729, 
o48oo556 



i3o7 
ao58 
a8o8 



43io 
5o6o 
58io 
656i 

73ii 
8061 
8810 



948595609635 



o3io 



a557 



9800 
o556 
i3i3 
ao69 
a8a5 

358i 
4336 
509a 
5848 
66o3 

7358 
8ii3 
8868 
96a3 
0378 

ii3a 
1887 
a64i 
3395 
4i49 
49o3 
5657 
64ii 
7164 
7918 



236o 
3ii3 
3865 
4617 
5369 

6iai 
6873 
76a5 
8377 
9053 91 a8 



980498799955 



o63i 
i38a 
ai33 
a883 

3634 
4385 
5i35 
5885 



6636 671 1 



7386 
8i36 
8885 



o385 

ii34 
i883 
a63a 



33o6338i 
4i3o 



9424 
0177 
0930 
i683 

a435 
3188 
3940 
4693 
5445 

6197 
6948 
7700 
845a 
9203 



0706 
1457 
aao8 
2959 

3709 
4460 
5aio 
5960 



7461 
8aii 
8960 
9710 
0459 

iao9 
1958 

2707 
3456 
42o5 



01234 5678 9 



DiflT. 



75 



Dim 



83 

Diff.&HttlU 

a 
3 
4 
5 
6 

7 
8 

9 



76 

l52 

aa8 
3o4 
38o 
456 
53a 
608 
684 



75 
i5o 
aa5 
3oo 
375 
45o 
525 
600 
675 



I 


74 


a 


i48 


3 


aaa 


4 


a96 


5 


370 


6 


444 


7 


5i8 


8. 
9 


^ 



Diff.lbMiilt 



84 



LOGARITHMS OF N U M B E B S . 



Nora. 

5800 

oi 
oa 
o3 
o4 

o5 
06 
07 
08 
09 

58 10 
II 

I!2 
l3 

i4 

i5 
16 

17 
18 

19 

58 20 

31 
22 
23 
24 

35 
36 
27 
38 
39 

58 3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

58 4o 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

58 5o 

5i 

52 

53 
54 

55 
56 
57 
58 
59 

Nnm. 



12 3 4 



5 6 7 8 9 



Diir. 



Uiflr. tL Malt. 



763 4280 
5029 

5777 
6526 
7274 

8022 

8770 

• 9518 

7640266 

ioi4 

1761 
2509 
3256 
4oo3 
4750 

5497 
6244 



6901 

7737 
8484 

9230 

• 9976 
765 0722 

i468 

3214 

^^ 

445o 
5195 
5941 

6686 
743o 
8175 
8920 

• 9664 

7660409 
ii53 
1897 
264 
3385 

4128 
4872 
56i6 
6359 
7102 

7845 
8588 
9331 
7670074 
0816 

1559 
23oi 
3o43 
3785 
4527 

5269 
601 1 

6752 
7494 



8097 
8845 
9593 
o34i 
1089 

1 836 
2583 
333 1 
4078 
4825 

5572 
63i9 
7065 
7812 
8558 



4355 
5io4 
5852 
6601 



7349 7424 7499 



81728247 
8^20 8995 



3o34 

377? 
4525 
5270 
6oi5 

6760 



443o 45o5|4579 
5i78|5253 5328 
5927I6002 
6o75;675o 



9743 
0490 
1238 

1986 
2733 
3480 



9668 
o4i6 
ii63 

2^58 
3406 

4i53i4227 
4900J4974 

56471 572 1 
6393|6468 
71407215 
78867961 
86338707 



3io8 
3854 
4599 
5344 
6090 

6835 



75o5j7579 
8250 8324: 
89949060I 
97399813 



65o8 
7176 7251 

79' 97994 

8662 87^7 
94o5 9479 9554 
01480222 
08900965 



i633 1707 
2375 2449 
3ii7 3192 
3859 39^4 
4601 '^ " 



4676 475o 

5343,5417 5492 
608561596233 
6826690116975 
756876427716 



1781 

2524 

3266 
4008 



8235'83o9 8383 8457 
12 3 4 



4654,47294804 
54o3 547815553 
6i5i 6226|i 
69006975 
7<>48 ~ 



2i35 
2882 
363o 
4377 
5i24 



2210 
2957 
3704 
445 1 
5198 



♦042 01 17 
07890864 
1 537 1612 

2285 

3o32 

3779 
4526 
5273 



9603 

0349 

1095 

i84i#9i5 

35863661 



6020 
6767 
75i3 
8260 
9006 

9678 975; 



74^0 
8i85 
8931 



3332 

4078 
4823 
5568 



3407 
4i52 
4897 
5643 



63i3 6388 



7o58 
7803 
8547 
9292 



71 32 

7877 
8622 
9366 



♦o36oiii 



0781 
i525 
3360 
3oi3 
3757 
45oo 
5344 
5987 
6730 
7474 
8217 
8960 
9702 
0445 
1 187 

1930 
3672 
34i4 
4i56 
4898 

564o 
638 1 
7123 
7864 
8606 



o855 

3087 
383i 

4575 
53i8 
6062 
68o5 
7548 

8201 
90^4 
9777 
o5i9 
1262 



48704954 

562615702 

63766451 

7124 

7873 

8621 
93699443 



2359 
3i07 
3854 
4601 
5348 

6095 
684 1 
7588 
8334 
9081 

9827 
0573 
i3r< 
206' 
2810 



3481 
4227 
4972 
5717 
6462 



8365 
9108 
9851 
0593 
1 336 



85i4 
9257 

9999 

0742 

1484 

3227 

2969 

3711 

43794453 

5i2i 5195 

5862 
6604 
7345 
8087 
8828 

6 7 8 9 



2885 



1004 
1748 
2492 
3236 
39804054 

4723 
5467 
16210 

7697 

844o 
9182 

0^68 
i4io 

2i53 
2895 
3637 



75 
i5o 

225 

3oo 

375 

45o 
535 
600 
675 



74 
i4fi 
333 
396 
370 
444 
5i8 



Difl*. 



Diff.^] 



LOf^AElTHIlS OF NU^rBSRS. 



85 



NOOL 

5860 

6i 
6a 
63 
64 

65 
66 
67 
68 

69 

5870 

71 

72 

73 
74 

75 
76 
77 
78 
79 
S880 
81 
82 
83 
84 

85 
86 

87 
88 

89 

5890 

91 
9a 

98 

99 

5900 

01 

o3 

04 

o5 
06 

07 
08 

09 

5910 
II 

12 

i3 

14 

16 

17 
18 

19 

If IB. 



12 3 4 

767 8976 9o5o 91 24 9198 9273 

• 9717 9791 9865 9940 #014 

768 o458 o532 0606 0680 0754 
1199 1273 1 347 «42i 1495 
1940 2oi4 3088 2162 22 j6 

2680 2754 2828 2902 2976 
34a I 3495356936433717 
4i6i4a35 4309 4383 4457 
4901 4975 5o495i23 5197 
564t 5715 5789 5863 5937 

638i 6455 6529 66036677 
71 21 7195 7269 7343 7417 
78607934800880828156 
8600 8674 8748 8822 8896 

• 9339 94139487 9561 9635 

769 0079 01 53 0227 o3oo o374 
081808020966 io4oiii4 
1 557 i6ji 1705 1779 '852 
2296 2370 2444 a5i7 2591 
3o35 3ioS 3182 3256 333o 

3773 3847 3921 3995 4069 
4512 4586 4659 47J3 4807 
525o 5324 5398 5472 5546 
5988606^613662106284 
6727 6800 6874 6948 7022 

74657538761276867760 
8203 82768350 8424 8408 
8940 9014 9088 916a 92^5 

• 9078 9752 9826 9809 9973 

770 o4i6 0489 o563 06 J7 071 1 

ii53 1227 i3oo i374 i448 
1890 1964 2o38 ?iii 2i85 
2627 2701 2775 2849 '9^^ 
3364 3438 3512 3585 3650 
4ioi 4175 42494322 4396 

4838 4912 4985 5o59 5i33 
5575 5648 5722 5796 5869 
63i I 6385 645o 653a 6606 
7048 7121 7r95 7269 7342 
77847858793180058078 

8520850486678741 881 5 
9256 935o 94o3 9477 9551 

• 9992 ^066 01 39 02 1 3 0286 

771 072S 0801 0875 0949 1022 
i463i537i6ii 1684 1758 

2199 2273 2346 2420 2493 
2934 3oo8 3o8i 3i55 3229 
3670 3743 38 1 7 3890 3964 
44054478455246254699 
5i4o52i3 52875360 5434 

5875 5948 6022 6095 6169 
66106683675768306903 
7344 74i8 7491 7565 7o38 
8079 8 1 52 8226 8209 8373 
a8i3 8887 8960 9034 9107 

• 9547 962 1 9694 9768 9841 

772 0282 o355 o4a8 oSoa o575 
[016 1089 1 162 1236 i3o9 
1750 1823 1806 1970 2043 
a483 2557 2630*2704 2777 



5 6 '7 8 9 



029090J 
5691643 



9347 
0088 
0829 

23i6 

3o5o 
3791 
453i 
5271 
6011 

6751 
7491 
8230 
89701 



9421 

0162 

3 



2384 

3i24 
3865 
46o5 
5345 
6o85 

6825 
7565 
83o4 
9044 



91 18 
970997839857 



o448 
1 187 
1926 
2665 
3404 

4i43 



0522 

126 

2000 

2730 

3478 



42164290 
5029 



4881 4955 
56195693 

6358 645 1 
7169 

7907 
8645 



5206 
5943 



7416 
8i52 

8888 
9624 
o36o 
1096 
i83i 

2567 
33o2 
4o37 

4772 
5507 

6242 

6977 
7712 
8446 



0649 
i383 
2117 



3273 
4oi3 
4753 
5493 



3198 
3?39 
4679 

5419 , 
61596233 

68< 

76. .. 
8376 8452 



0596 
i335 
2074 
2813 
3552 



930993839457 
' 0121 
o858 

1595 
2333 
3070 
3807 
44704543 



87198793 



5280 
6017 



66796753 



7489 
8226 

8062 

0454 
1 169 
1905 

2640 
3376 
4iii 
4846 
558i 



7o5o 
7785 



0670 
1409 
2148 
2887 
3626 



2787 
3523 
4258 

4993 
5728 

63 r6 6389 6463 



7124 
7858 



85198593 
91809254 9327 9401 

9988 

0722 

i456 

2190 

2850I2924 



95699643 



1743 
2-480 
3217 
3954 
4691 

5427 
60906164 
6827" 
7563 



oi35 



2263 2337 
29973070 



12 3 4 5 6 7 8 



Diff. 



74 



DiC 



Diff. lb Malt. 



74 
e4S 

296 
370 

444 
5i6. 
592 
666 



1 


73 


3 


i4ti 


3 


219 


4 


III 


5 


6 


m 


7 


5tt 


8 


584 


9 


657 



DUnibMvh. 



86 



LOGARITHMS OF NUMBERS. 



Num. 

5930 

ai 

a3 
24 

a5 
a6 

27 
28 
29 

5o3o 
3i 
3a 
33 
34 

35 
36 

3? 
38 
39 

5940 
4i 

43 

43 
44 

45 
46 
47 
48 
49 
5950 
5i 

52 

53 

54 

55 
56 

57 
58 
59 

5960 
61 
6a 
63 
64 

65 
66 
67 
68 
69 

5970 

71 
72 
73 
74 

75 
76 
77 
78 
79 
Nmn. 



01234 5678 



172 3217 
3951 
4684 
5417 



3290 
4oa4 
4757 
5491 



61 506224 



6884 
7616 
8349 
9082 
• 9815 

773 o547 
1279 
20] I 
2743 
3475 

4207 

^9 

6402 
7133 

7864 



6057 
7690 
84a3 
9155 



o6ao 
i352 
2o85 
2817 
3549 
4280 
5oi2 

5744 

6475 
7206 

7938 



859686698742 



9326 

774oo57 

0788 



15191592 

2249 2322 

2979 3o52 



3710 



5170 
5ooo 



66296702 



7350 
8088 

8818 
# 9547 

7750276 
ioo5 
1734 

2463 
3191 
"020 



5376 

6104 
6832 
756o 
8288 



7760471 
1198 

I025 
2052 



4007 

483i 
5564 
6297 

7o3o7io3 



98889961 



06930767 

1426 

2i58 

2890 

3622 



4354 
5o85 
58i7 
6548 
7280 

801 1 



oi3o 
0861 



94009473 
oao3 
0934 

t665 
2395 
3i25 
3856 



3783 



4440 45i3 



5243 
5972 



7432 
8161 

9620 
o34o 
1078 
1807 

2535 
3a64 
3993 
4721 
5449 
6177 
6905 
7633 
836i 



9016 9089 916] 
9743 9816 



0543 
1271 
1998 
2725 



3452 

4179 
4905 
5632 



3379 
4106 
4833 
5559 
6286 6358^31 



3364 



63706444 



7763 

8496 
9228 



'499 

223l 
2963 
3695 

4427 

5i58 
5890 
6621 
7353 



6045 
6775 
75o5 
8234 

8064 

9693 

0422 

i5i 



2608 
3337 
4o65 
4794 
55i2 

6250 
6978 
7706 
8434 



0611 
i343 
2071 
2798 

3524 
425i 
4978 
5704 



3437 



4171 
4904 
5637 



7836 
8569 
9302 
♦o34 



7177 
7910 
8642 
9375 
0107 

o84o 
1572 
23o4 
3o36 
3768 

45oo 

5232 



8084 81 57 
88i5 " " 



8888 
9546 9619 
o35o 
1080 



0277 
1007 

1738 
2468 
3198 
3929 



1811 
254i 
3271 

c ,4002 

458646594732 

53i6 5389 5462 
61 91 
6921 
7651 
838o 



6ti8 
6848 
7578 
83o7 

9o36 



1224 



18801952 



2681 
3410 
4i38 
4867 
5595 

6323 
705 1 

7779 
85o6 



35io 
4244 
4977 
571 1 



7426 



>839 
•568 



1297 

2025 

2754 

3483 
421 1 



6396 
7124 
785i 
8579 



9234 9307 

♦034 
076a 
1489 
2216 
2943 

3670 
4397 
5i23 
585o 
6576 



3584 
43i7 
5o5i 
5784 



65176590 

7250 7323 
"8o56 

8789 
9521 



7983 
8716 
9448 
0181 

0913 
1645 

2377 
3109 
384i 

4573 
53o5 



6o36 6109 6i83 6256 6329 
67686841 



74997572 



8230 
^2 

^23 

ii53 



1884 19572030 



2614 
3345 
4075 
48o5 

5535 



7067 
7724 7797 
" '"- 8526 



6994 

7724 
8453 

9182 
901 1 
o64i 
1369 
2098 

2827 
3555 



5oi2 

5740 

646o 
7196 
7924 
8652 



0107 
o834 
1 562 
2289 



3657 
4391 
5i24 

5857 



0254 0327 o4oo 0474 



0986 



1719179a 



245i 
3i83 
3915 



464647194793 



5378 



691^ 
7645 



83o3 
9034 
9765 
0496 
1226 



837684498522 



9107 

r 

1299 



2687 
3418 

4i48 



56o8 



6264633764 



9984 



1442 
2171 

2( 
'28 
42844357 



5o85 
58i3 

654i 



Z997 
8725 



93809452 



0907 
i634 
236i 



3oi6t3o88 

374313815 
4460*4542 
51965269 
12^5995 
* 6721 



6737 
74707543 



8203 
8935 
9668 



1060 



a524 
3256 
3988 



54$ 



46987 



2760 

3491 
4221 



568i 
10 
7140 
7869 
8599 



9255 9328 9401 



♦057 



07130786 



i5i5 

2244 



29002973 
3628 3701 



5i58 
5886 



72697342 



8798 



0180 0253 



0980 
1707 
2434 
3i6i 



3888 
46i5 
534! 



ri33 
i865 
2597 



3329 3402 



4o6i 



5524 



4i34 
4866 
5597 



7718 



9180 9253 
9984 



5754 



23i7 



. 3774 
443o45o2 



523i 



661466876760 



74i5 



80708143 



8870 



9525 9598 

o325 
io53 
1780 
25o7 
3234 



3q6i 
4087 
54i4 



4o33 
4760 
5486 
6o68 6i4o62i3 
679468676939 



9 

3877 
4611 

5344 



38o4 
4537 
5271 

60046077 
6810 



8276 
9009 
9741 



1206 
2070 



7060 

779« 



ti 

1372 

2io3 

2833 

3564 

42944367 

5o24 

5827 
64836556 
72i3 

12 



7286 
8oi5 
8745 

9474 



oi3oo2o3 
08590932 
i588i66i 



2390 



3o463ii8 



3847 
4575 
53o4 



59596032 



7488 
8215 
8043 
9671 

0398 

1125 

i852 
2579 
33o6 



DiC 



Diftk,m^ 



73 



74 
i48 

222 
296 
370 

444 
5i8 



73 
146 
219 
292 
365 
438 
5ii 
584 
657 



12 3 4 



5 6 7 8 9 



Dur. 



DiAlbMah. 



LOOARITHM8 OF NUMBERS. 



87 



Nam. 

5960 

8i 
8a 
83 
84 

85 
86 

87 
88 

»9 

5990 

% 

98 
99 
6000 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 
6010 
II 
12 
i3 
lA 

i5 
16 

17 
16 

'9 

6020 

21 
22 
23 

25 
26 

27 

a8 
29 

60 3o 
3i 

32 

33 
34 

35 
36 
37 
38 
39 

Nvn. 



01234 56789 



Diff. 



DiClbMult. 



781 1 
8537 
9363 



7770642 
i367 
2093 
2818 
3543 

4268 

^99^ 

5718 
6443 
7167 

7892 
8616 



0714 
i44o 
2i65 
2890 
36i6 

4341 
5o66 
5791 
65i5 
7240 



93409^4 



7780065 
0789 

i5i3 

2236 

24 



7564 

01 37 
0861 

i585 



4407 

5i3o 
5853 
6576 
7299 
8022 

8745 

• 9467 

7790190 
0912 

i634 

2356 
3078 
38oo 

4522 

5243 



74o8 
8129 
885o 

• 9571 

780 0291 

1012 

1732 

2453 

3173 
3893 
46t3 
5333 
6o53 



6773 
7492 
8212 

8o3i 19003 
• 96509722 



7084 



TT67012 
7738 
8464 

9>9o, 
• 99169988 



7883 

86oo« 

9335 9408 9480 

♦061 



0787 

l5l2 
2238 



44,3 

5i38 
5863 
6588 
7312 



23o9 238i 
3o32 - 
3756 



3io5 

3828 

44794552 



5202 
5926 



66496721 



3i5o 
3872 
4594 



6037 
6758 
748o 
8201 
8922 



o363 
1084 
1804 

2525 

3245 
3965 
4685 
54o5 
6125 



6845 
7564 



7' 57 



80378109 



8761 
9485 
02091 
0933 

i657 



5275 
5998 



7444 
8167 



7372 
8094 

8817 
9540 
0262 
0984 
1706 

2429 25oi 



8889 
95 



io56 
1779 '85 



3223 

3q44 
4666 



53i6 5388 



0961 



61 

683i 
7552 
8273 



964397159787 



0435 
ti56 
1877 
2597 

33i7 
4o37 
4757 
5477 



828483568428 



9075 
9794 



723o|73o2 
79568028 



8682 



8754 



01 34 



0206 



08590932 
i585 i657 



23lO 

3o35 
3761 



2383 
3io8 
3833 



44864558 



521 1 

5935 
6660 
7385 



8834 
9558 
0282 
1006 

1730 
2453 
3i77 



5283 
6008 
6733 
7457 

8182 
8906 
9630 
o354 
1078 

1802 
2526 
3249 



39003975 
46244696 



5347 
6070 
6793 
75i6 
8239 

8962 
9684 



1 129 



o334 o4o6 0479 
1 201 
1923 

2645 
3367 
4089 
4810 
5532 



2573 
3295 

4017 
4738 
5460 



181 
6903 
7624 
8345 



899490669138 



o5o7 
1228 



2669 



4109 
4829 
5549 



6197 62696341 



6980 
7706 



9147 
9866 



54ig 
6143 
6866 
7588 
83ii 

9034 

9756 



6253 

7696 
84i7 



9?59 
o58o 
i3oo 



1 949 202 1 



2741 



33893461 



4i8i 
4901 
5621 



7061 
7780 
85oo 
9214 



7375,7448 7520,7593 
8ioi;8i74;8246,83io 
^29045 
^ ,.y^*^ y-v8!977i 
02790351 0424 0496 




ioo4 
1730 
2455 
3i8i 



390639784051 



463 
5356 
6080 
68o5 



75307602 

82548327 
89789051 
97039775 



0427 
ii5i 

1874 
2598 

3322 

4o45 



47684841 

5564 
6287 



549a 
6215 
6938 
766; 
8383 



9!299?o. 
o55i 062, 



o55 

1273 

1995 

2717 . 
343935 
4i6i ' 
4883 
56o4 



7047 
7768 
8489856 
9210 

Si' 
o652 

1372 

2093 

2813 

3533 
4253 
4973 
5693 
64i3 

7i33 
7852 
8571 
9291 
♦010 



1077 
1802 

2528 

3253 



4703 
5428 
61 53 
6878 



1149 
1875 
2600 
3326 



1222 

1947 
2673 
3398 
4i23 



47764848 



0490 

1223 

1947 
2670 
3394 
4II7 



7010 

7733 

8456 



9106 9178 

>23 

i345 
2067 

2790 

4233 
4955 
5676 



632663986470 



71 

7840 

1 

9282 

♦oo3 
0724 
1444 
2i65 
2885 

36o5 
4325 
5o45 
5765 
6485 

7204 
7924 
8643 
9363 
0082 



55oi 
6225 
6950 
7675 

8390 
9123 

9847 
0571 
1295 

2019 
2743 
3466 
4190 
49134985 

5636 



7665 
839r 
91 17 
9843 
0569 

1295 
2020 
2745 
3471 
4196 

4921 
5646 
6370 
7095 
7819 

8544 



5573 
6298 
7022 
7747 

8471 
91969268 

9993 

0716 
1 440 

2164 
2888 
36ii 
4335 
5o58 



i368 

2092 
a8i5 
3539 
4262 



6359 
7082 
7805 
8528 

9251 

% 

i4i8 
2i4o 

2862 

3584 
43o5 
5027 
5748 



.97 



191 

7912 
8633 



0075 
0796 

i5i6 
2237 
2957 

3677 
4397 
5ii7 
5837 



5709 5781 

""^ 65o4 

7227 

7950 

8672 



643a 
7i55 
7877 
8600 



9323 
♦045 
0768 
1490 
2212 

2934 
3656 

4377 

r299 

5821 



7263 
7984 
8705 



935494369498 



0147 
0868 
i588 
2309 



30293 

3749 
4469454 
5189- " 
5009 



6557,66296701 



72767348 

7996.8068 

87158787 

9435/ 

01540226 



9395 
0117 
o84o 
1 562 
2284 

3oo6 
3728 
445o 
5171 
5893 



6542 66i4 



7335 
8o57 
8778 



0219 
0940 
1660 
238i 

lOI 

3821 

5261 
5981 



7420 

81 4o 

885o 

9506 9578 



7a 



73 
i46 
219 
292 
365 
438 
5ii 
584 
657 



I 


72 


2 


144 


3 


216 


4 


288 


5 


36o 


6 


432 


7 


5o4 


8 


576 


9 


648 



I 


7» 


2 


l42 


3 


2l3 


4 


284 


5 


355 


6 


426 


7 
8 


^ 


9 


63o 



01234 56789 



Diir. 



Diff. k. Molt. 



88 


LOQARITHMS OF NUMBEBS. 1 


6040 


12 3 4 


5 6 7 8 9 


Diir. 


Diir. & Mole. 


781 03690441 


o5i3,o585 


0657 


0739 


0801 


0873,0945 


1016 






4i 


1088 


1160 


1232 


i3o4 


1376 


i4^ 


1 520 


1592 


i663 


1735 






4a 


1807 


'& 


io5i 
2670 


2023 


2095 


2167 


2238 


23lO 


2382 


2454 






43 


2526 


2742 


2813 


2885 


2957 
3676 


3029 

3748 


3ioi 


3173 






44 


3245 


33i6 


3388 


3460 


3532 


36o4 


3819 


3891 






45 


3963 
4681 


4o35 


4107 


4179 


4a5o 


4322 


4394 


4466 


4538 


4610 






46 


4753 


4825 


4897 


'^ 


5o4i 


51J2 


5i84 


5256 


5328 






47 


5400 


547a 


5543 


56T5 


5759 


583i 


5902 
6620 


5?74 


6o46 






48 


6118 


6190 


6261 


6333 


64o5 


6477 


6549 


6692 


6764 






49 


6836 


6908 


6979 


7o5i 


7123 


7195 


7267 


7338 


74io 


7482 






ek)5o 


7554 


7626 


7697 


7769 


7841 


701 3 
863o 


7984 


8o56 


8128 


8200 




1 


72 


5i 


8273 


8343 


84i5 


8487 


8559 
9276 


8702 


8774 


8846 


8017 
9635 




2 


i44 


52 


8989 


9061 


9133 


9204 


9348 


9420 


9491 


9563 




3 


216 


53 


• 9707 


9778 


9850 


^3^ 


9994 


♦o65 


01 37 


0209 
0926 


0281 


o352 




4 


288 


54 


78a 0424 


0496 


o568 


0711 


0783 


o855 


0998 


1070 




5 


36o 


55 


ii4i 


I2l3 


1285 


I 357 


1428 


i5oo 


1572 


1644 


1715 


1787 




6 

7 
3 


432 
5o4 
576 
648 


56 


1859 


1930 


2002 


2074 


2i46 


2217 


2289 
3oo6 
3723 
4440 


236i 


2432 


25o4 




57 
58 


2576 
3293 
4oio 


2647 
3364 
4081 


2719 
3436 
4i53 


2791 

35o8 


2863 
3570 
4296 


Uft 


3078 
3794 
45ii 


3i49 
3866 


3221 




9 


59 


4225 


4368 


4583 






6o6o 


4726 


4798 


4870 


4941 

5658 


5oi3 


5o85 


5i56 


5228 


53oo 


537. 






6i 


5443 


55i4 


5586 


5729 
6446 


58oi 


5873 


6^ 


6016 


6088 






62 


6159 


623i 


63o3 


6374 


65i8 


6589 
73o5 


6732 


6804 






63. 


6876 


6947 
7664 


7019 

7735 


7091 


7162 


7a34 


7377 


7449 


7520 






64 


7592 


7807 


7878 


7950 


8022 


8093 


8i6d 


8236 






65 


83o8 


838o 


845i 


8523 


8594 


8666 


8738 


8809 
952? 


8881 


8952 
9668 






66 


9024 


9096 


9167 


^5? 


93io 


9382 


9454 


9597 






67 


» 9740 


9812 


9883 


♦026 


0098 


0169 
o885 


034t 


o3i3 


o384 






68 


783o456 


o527 


0599 


0670 


0742 


0814 


0057 
1672 


1028 


noo 






69 


1171 


1243 


13T4 


1 386 


i458 


1529 


1601 


1744 


i8i5 






.6070 


1887 


1958 
2674 


2o3o 


2102 


2173 


2245 


23i6 


2388 


li^ 


253i 






71 


2602 


3745 


2817 


2888 


2960 
3675 


3o32 


3io3 


3246 






72 


33i8 


3389 


3461 


3532 


36o4 


3747 


38i8 


3890 


3961 
4676 






73 


4o33 


4io4 


4176 


4247 


4319 


4390 


4462 


4533 


46o5 






74 


4748 


4819 


4891 


4962 


5o34 


5io5 


5i77 


5248 


5320 


5391 






75 


5463 


5534 


56o6 


5677 


5749 


5820 


5892 


6?78 


6o35 


6106 






76 


6178 


6249 


6321 


6392 


6464 


6535 


6606 


6749 


6821 






77 


6892 


6q64 

7678 


7035 


7107 


7178 


725o 


7321 


7393 


7464 


7536 






78 


7607 


775o 


7821 


7893 


7964 


8o36 


8107 


8170 
8893 


8250 






79 


8321 


8393 


8464 


8536 


8607 


8679 


8750 


882) 


8964 






6080 


9o36 


9107 


9170 


9260 


9322 


9393 


9464 


9536 


9607 


o1^ 






81 


• 975o 


9821 


9895 


9964 


♦o36 


0107 


^0^ 


025o 


o32i 




I 


71 


82 


784o464 


o536 


0607 


0^8 


0750 


0821 


oo64 
1678 


io35 


1 107 




a 


i4a 


83 


1 178 


i25o 


l32I 


1392 


1464 


i535 


1607 


^46? 


1821 




3 


2l3 


84 


1892 


1963 


2035 


2106 


2178 


3249 


2320 


2392 


2534 




4 


284 


85 


2606 


2677 


2749 


2820 


2891 


2963 
3676 


3o34 


3ro5 


3i77 


3a48 




t 


355 
4a6 

639 


86 


33i9 
4o33 


3391 


3462 


3534 


36o5 


3748 


3819 


3890 


4^5 




87 


4io4 


4176 


4247 


43i8 


4390 


446i 


4532 


46o4 




1 
8 


88 


4746 


48r8 


4889 


4560 
5674 


5o32 


5io3 


5i74 


5246 


53i7 


5388 




89 


546o 


553 1 


56o2 


5745 


58i6 


5888 


5959 


6o3o 


6102 




9 


6090 


6173 


6244 


63i6 


6387 


6458 


6529 


6601 


6672 


6743 


68i5 






9' 


6886 


6057 
7670 


7029 


7100 


7171 


7a4a 


73i4 


7385 


7456 


7528 






92 


7599 


7742 


7813 


7884 


7055 
8668 


8027 


8098 


8169 


8241 






93 


83i2 


8383 


8454 


8526 


8597 


8739 


881 1 


8882 


8953 
9666 






94 


9024 


9096 


9167 


9238 


9310 


9381 


9452 


9523 


9595 






21 


• 9737 


9808 


9880 


c^3 


♦02 a 


ooo3 


01 65 


0236 


o3o7 


0378 






96 


785o45o 


o52i 


0592 


0735 


0806 


0877 


T, 


1019 


T091 






97 


1 162 


1233 


i3o4 


1376 


1447 


i5i8 


1589 


1732 


i8o3 






98 


1874 


T945 
2658 


2017 


2088 


2159 


223o 


23oT 


2373 


2444 


25i5 






99 

Num. 


2586 


2729 


2800 


2871 


2942 


3oi4 3o85!3i56 


3227 






12 3 4 


5 6 7 8 9 


Di«r. 


Dlfr.«;Miih. 



Num. 

6100 

oi 

o3 
o4 

o5 
06 

07 
08 

09 
61 10 
II 
12 
i3 
14 

i5 
16 

17 
18 

19 

61 ao 

31 

33 

33 

34 

35 

36 
a? 
38 

29 

61 30 

3i 

33 

33 

34 

35 
36 

37 
38 

39 
61 46 
4i 
43 
43 
44 

45 
46 

47 
48 

49 

61 5o 

5i 

53 

53 
54 

55 
56 
57 
58 

59 

NVB. 



LOGARITHMS OF NUMBERS. 

"o i 2 3 4 5 6 7 8 9" 



7853398 
4010 
4733 
5434 
6145 

6857 
7568 
8379 



3370 
4081 

4793 
55o5 
6316 

6938 
7639 
835o 



89909061 
977a 



• 9701 
7860413 

II 33 

i833 
3544 
3354 

3o65 
4675 
5385 
6095 
68o5 

75i4 
8334 
8933 

• 9643 
787 o353 

1061 
1770 
3479 
3i8d 



o483 
1194 
1905 
36i5 
3335 

4o36 
4746 
5456 
6166 



68766946 



7585 
8334 8395 



9004 
9714 
0433 

ll33 

i84i 
355o 
3358 
38963967 

46o5 



53i3 
603 1 



7438 



8854 

• 9561 

7880369 

097S 



3441 
4i53 
4864 
5576 
6288 



69997070 



7710 
8431 
9i33 
9843 

o554 
1365 
1976 
3686 
3396 

4107 
4817 
5537 
6337 



7656 
8366 
9075 
9784 
0494 

I3o3 

I9I3 

3031 
3339 

4o38 



5384 
6093 



673068006871 



814682168387 



1684 1754 



9457 9538 9598 
"" "0304 

lOIO 

I7I6 

3433 
3i37 
3833 
4538 
5343 



35i3 
4334 
4q36 
5647 



63596430 



7781 
8493 
9?o4 
9915 

0635 
1 336 
3o47 
3757 
3467 

4178 



5598 
63o8 
7017 
7737 
8437 
9146 
9855 
o565 

1374 
io83 
3091 
3400 
4i 



467647464817 



5455 
6i63 



75097579 



o4io 
1118 



1835 

3533 

3340 

3947 

4653 

536o 
59966067 
6703 6773 



0941 



7i4i 
7852 
8564 
9275 
9986 

0696 
1407 

3Il8 

3838 

3538 
4349 

6370 
7088 

7798 

85o8 
9317 

1 345 
3o53 
3763 

3471 
180 



5526 
6334 
6043 
765o 

8358 



4899590669137 
97o3 9774 9844 



1 189 



1896 
36o3 
33io 
4017 
4724 

543i 
6i38 
6844 
74807551 
81868357 
8893 



3583 
4395 
5007 
5718 



5596 
63o5 
701 3 

7731 

8439 



o553 
1359 

338i 
4o88 
4795 
55o2 
6308 
6915 
703 1 
8337 

9034 
9740 
a446 
ii5i 
i857 

3563 
3368 
39033074 
4608 4079 
53i4 5384 



3654 3726 
43664437 
" "1495: 



7355 
8066 

^777 



67146786 

7497 
8308 



5078 

5789 
65oi 

73137383 

8706 

93469417. - , , , 
♦057 01 38 0199 0370 o34i 

io53 
1763 
3473 
3i83 
3894 

46o4 
53i4 
6o34 
6734 
7443 

81 53 
8863 
9573 
0381 



4391 
5ioi 
58ii 
645o653i 
733o 



7869 
8570 
9388 

9997 ^ . 

0706 0777 0848 0919 0990 



i4i5 

3134 

3833 
3543 
435o433i 

'^ 

637664466517 



5643 
635o 
7o56 
7762 



839884698539 

91049*75 
98109881 
o5i6 o587 

1233 

1938 

3633 
3339 
4o44 
4740 
5455 



934994: 



5oo7 

5714 
6430 
7137 
7833 



7373 
8083 

8791 
9501 
03 10 



1638 
3337 
3o46 
3754 
4463 

5171 
588o 
6588 



8004 



335o 
3957 

3664 



4300 437» 4441 



♦033 
0738 
1434 

3i39 

3845 
355o 
4356 

4961 
5666 



5343 
5951 
6659 

73967367 



8075 

8783 
9490 
0198 
0906 
i6i3 

3330 

3o37 
3734 



5078 5i48 

5855 
656i 
7268 
7974 
8681 

93169387 



0093 
i5o4 

33IO 
3916 

3631 

4336 

5o33 

5737 



2 3 



4 5 6 7 

-T5 



8 9 



our. 



89 



Difi*. k. Malt. 



71 



71 
143 
313 

384 
355 
436 



639 



7P 
i46 

310 

380 
35o 
430 

5^ 
63o 



Diff. 



DimJtMaU. 



90 


LOGARITHMS OF NUMBERS. 1 


Num. 
6160 


01234 56789 


INfl*. 


DiCJkMoiL 


T89 58o7 5878 


5948 
6653 


60196089 


6160 


623o 


63oi 


6371 


6442 






6i 


65ia.6583 


6724,6794 


6865 


6o35 
7040 


70o5 


7076 


7146 






62 


7317 


7287 


7358 


74287499 


7569 


7710 


7781 


785i 






63 


W^ 


^ 


8o63 


8i3382o4 


8274 


8344 


84i5 


8485 


8556 






64 


8767 


8838 


8908 


8979 


9049 


9119 


9190 


9260 






65 


9331 


9401 


9472 


9542 


9613 


9683 


9753 


9824 


9894 


9065 






66 


7900035 


0106 


0176 


0247 


o3i7 


o387 


o458 


0528 


?iS 


0669 






67 


0739 


0810 


0880 


0951 


1021 


1092 


1162 


1232 


1373 






68 


1444 


i5i4 


1 584 


i655;i725 


1796 


1866 


1936 

264o 


2007 


2077 






69 


3i48 


2218 


3288 


2359 


2429 


aSoo 


2570 


2711 


2781 






6170 


a85a 


2922 
3626 


^ 


3o63 


3x33 


32o4 


3274 


3344 


34i5 


3485 






71 


71 


3555 


3767 


3837 


^.i 


3078 


4o48 


4ii8 


4189 






142 


7a 


B 


433o 


4400 


4470 


4541 


4681 


4752 


4822 


4892 






ai3 


• 73 


5o33 


5io3 


5i74 


5244 


53i5 


5385 


5455 


5526 


5596 






284 


7ii 


5737 


5807 


5877 


5948 


6018 


6088 


6159 


6229 


6299 






355 


75 


6370 


644o 


65io 


658i 


665 1 


6721 


679a 


6862 


6932 
7635 


7003 






4a6 
639 


76 


7073 


7143 


7214 


7284 


7354 


7424 


7495 


7565 


7706 






77 


7776 


7846 


8620 


7987 
8690 
9393 


8057 


8128 


8198 


8268 


8338 


8409 




78 


8470 


8549 
9252 


8760 


883 1 


8901 
9004 


8071 
9074 


9041 
9744 


9112 
9814 






79 


918a 


9323 


9463 


9533 






6180 


• 9885 


^^ 


♦025 


0096 


0166 


0236 


o3o6 


0377 


0447 


o5i7 






81 


791 o587 


0728 


0^ 


0868 


^? 


1009 


1079 


ii5o 


1220 






8a 


1290 


i36o 


i43i 


i5oi 


1 571 


1711 


1782 


i852 


1922 
2625 






83 


im 


2063 


2i33 


2203 


2273 


2344 


2414 


2484 


2554 






84 


2765 


2835 


2905 


2976 


3o46 


3ii6 


3i86 


3257 


3327 






85 


33^7 


3467 


3537 


36o8 


3678 


3748 


38i8 


3889 


4o6i 


4029 






86 


4099 


4169 


4240 


43io 


438o 


445o 


45ao 


4591 


473i 






87 


4861 


4871 


^ 


5oi2 


5o83 


5i52 


5222 


5292 


5363 


5433 






88 


55o3 


5573 


5714 


5784 


5854 


5924 
6626 


^ 


6064 


6i35 






89 


6ao5 


6275 


6345 


64i5 


6486 


6556 


6766 


6836 






6190 


^ 


6Q77 
7678 


7047 


7117 


7187 


7257 


7327 


7398 


7468 


7538 






91 


7748 


7818 


7889 


1^ 


8029 


8099 


8169 


8239 






9J 


83o9 


838o 


845o 


8520 


8590 


8730 


8800 


8871 


9^2 






93 


901 1 


9081 


9i5i 


9221 


9291 


936i 


9432 


9502 


9572 


t 




94 


• 97" 


9782 


9852 


9922 


999a 


♦o63 


oi33 


0203 


0273 


0343 






9! 


79ao4i3 


o483 


o553 


0623 


0694 


0764 


o834 


0904 

i6o5 


OQ74 


1044 






96 


iii4 


ii84 


1254 


1 324 


1394 


1465 


1 535 


1675 


1745 






97 


i8i5 


i885 


1955 
2656 


2025 


2095 


2i65 


2235 


23o6 


2376 


2446 






98 


25i6 


2586 


2726 


2796 


2866 


^ 


3oo6 


3076 


3i46 






99 


3216 


3286 


3356 


3427 


3497 


3567 


3707 


3777 


3847 






6a 00 


4?r7 


¥k. 


4o57 


4127 


4197 


4267 


4337 


4407 


4477 


4547 






01 


468*fa57 


4827 


4897 


4067 
5668 


5o38 


5io8 


5178 


5248 




I 


70 


01 


53i8 


5388 


5I|8 


5528 


5598 


5738 


58o8 


5878 


6^ 




a 


i4o 


o3 


6018 


6088 


61* 


6228 


6298 


6368 


6438 


65o8 


6578 




3 


aio 


04 


6718 


6788 


6858 


6928 


6998 


7068 


7i38 


7208 


7278 


7348 


70 


4 


a8o 


o5 


74i8 


7488 


7558 


7628 


7698 


7768 


7838 


7908 
8608 


7978 

8678 


8o48 




5 
6 


35o 


06 


8118 


8188 


8258 


8328 


8398 


8468 


8538 


8747 




420 


07 


8817 


8887 


8957 
9657 


9027 


9097 


9i57 


9237 


9307 


9377 


9447 




7 
8 


63o 


08 


• 9517 


9587 


9727 


9797 


9867 


^ 


♦007 


0077 


0147 




09 


7930217 


0287 


o356 


0426 


0496 


o566 


0706 


0776 


0846 




9 


6a 10 


0916 
i6i5 


0986 
i685 


io56 


1 126 


1196 


1266 


1 336 


i4o6 


1475 


1 545 






II 


1755 


1825 


1895 


1965 
2664 


2o35 


2io5 


2175 


2245 






la 


23 14 


2384 


2454 


2524 


2594 


2734 


2604 


2874 


2044 
3643 






i3 


3oi4 


3o83 


3i53 


3223 


3293 


3363 


3433 


35o3 


3573 






i4 


3712 


3782 


3852 


3922 


3992 


4062 


4i32 


4202 


4272 


4341 






i5 


441 1 


4481 


455i 


4621 


4691 


4761 


483i 


/(900 


^ 


5o4o 






16 


5iio 


5i8o 


525o 


5320 


5390 
6088 


5459 
61 58 


5529 
6228 


55oo 


5739 






17 


5809 


5879 


5o48 
6647 


6018 


6298 


6367 


6437 






18 


6507 6577 


6717 


6787 


6856 


6926 
7625 


X 


7066 


7i36 






»9 

Num. 


72067275 


7345 


74i5 


7485 


7555 


7764 


7834 






01234 5. 6789 


Diff. 


1>iir.4tMvll. 



LOOARITHMS OF NUHBEBS. 



91 



Nonu 

6220 

ai 

33 

a3 

24 

a5 

26 

62 3o 
3i 
3a 
33 
34 

35 

36 

37 
38 
39 

6240 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

6260 

5i 

52 

53 
54 

55 
56 
57 
58 

59 
6260 
61 
62 
63 
64 

65 
66 

67 
68 

69 

6270 

71 
72 
73 
74 

75 
76 
77 
78 
79 

NiMI. 



1234 56789 



Die DiflT. & MqIu 



T93 79 



9300 9370 9440 9509 9579 



2343 
3o37 
3731 
43564425 
5o5o5ii9 



5743 
6437 
7i3i 
7824 
85i7 

921 1 



1359 

2052 

>2745 

13437 

)4i3o 

M822 

> 55i4 

61376207 



1290 
1983 

2675 
3368 
4060 
4753 
5445 



68296899 

7521 

8213 



58i3 
65o6 
7200 
7803 
8587 

9280 



6968 
7660 
835i 
8905 8974 9043 



8043 
8742 



oi38 
o835 

1533 

223l 
2928 
3626 

4323 

5020 

5717 

64i4 
7111 

7807 



850485748643 



9200 
9897 



o5o3o663 
1289 1359 



1985 
2681 

3377 
4072 
4768 

5464 



61596228 



6854 



75497619 



8244 



5903200398 
0954 1023 ioo3 
i648 



81 13 
8811 



0207 



09050975 



i6o3 
23oo 

4392 
5090 

5787 

6484 



1673 
2370 
3o68 
3765 
4462 

5i59 
5856 
6553 



71807250 



7877 



9270 
9966 



2o55 
2751 
3446 
4142 
4838 

5533 



6924 



83i4 



1787 

2481 
3176 
3870 
4564 
5258 

61 

45 

7339 

8o3a 

8725 

9419 
01 1 2 
o8o5 
1498 
2191 

2883 
3576 
4368 
4961 
5653 

62766345 
7037 
7729 
8421 



8i83 
8881 



0277 



7947 



9340 
♦o36 
0732 
1428 

2124 
2820 
35i6 
4212 
4907 

56o3 
6298 

8383 

9078 
9773 
o468 
1 162 
i857 

255i 
3245 
3939 
4633 
5327 

602 X 
6714 
7408 
8101 
8795 



0181 
0874 
i567 
2260 

2952 
3645 
4337 
5o3o 
572a 

64i4 
7106 

7798 
84qo 
9181 



8253 
8951 
9649 
o347 
1045 

1742 
2440 
3i37 
3835 
4532 

5229 
5926 
6623 
7320 
8016 

8713 

^^ 
0106 

0802 
1498 

2194 
2890 
3586 
4281 
4977 

5672 
6367 
7063 
7758 
8453 



9842 
0537 

1232 
1926 

2620 

33 14 
4009 
47o3 
5396 

6090 
6784 
7477 
8171 
8864 

9557 

025o 

0943 
i636 
2329 

3022 
3714 
4407 
5099 
5791 

6483 
7175 
7867 
8559 
9251 



8323 
9021 

9719 
0417 
iii4 



97' , 
0487 
1184 

1882 

2579 

3277 



39043974 
4002 4671 



8852 

Hit 
1637 

2333 
3029 
3725 
44ao 
5ii6 

58ii 
65o6 
7203 

7897 
8592 



io52 
2649 

3347 

4o44 
474i 

5438 
6i35 
6832 
7529 
8225 

8922 
9618 
o3i4 

lOlI 

1707 

24o3 
3098 

3794 
4490 
5i85 

588i 
6576 
7271 
7q66 
8661 



6229 
6923 
7616 
83o9 
9003 



586o593o 

6622 
73i4 
8006 



8462 8532 
91609230 
9858 9928 



2719 
3416 
4ii4 
481 1 

55o8 
62o5 
6902 
7598 
8295 

^ 

o384 
1080 
1776 

247a 
3i68 
3864 
4559 
5255 

5950 
6646 
7341 
8o36 
8731 



2829 
3523 
4217 
491 1 
56o5 

6298 
6992 



9072 



3922 
46'i4 
53o7 
5999 
6691 
7383 
8075 
8766 



1 324 



9356 9426 
0120 
o8i5 
i5o9 
2204 



2898 
3592 
4286 
4980 
5674 

6368 
7061 



7685 7755 
83798448 



9141 



9765 9835 
o458 ' " 
ri5i 
1 844 
2537 



0528 
1221 

2606 



3229 3299 



4684 
5376 
6068 

6760 
7452 
8i44 
8836 



94589527 



70 
i4o 
210 
280 
35o 
420 
490 
56o 
63o 



207 
276 
345 
4i4 
483 
552 
621 



01234 56789 



Diff. 



DUr.4tMalt. 



92 


LOGARITHMS OF NUMBERS. j 


NmB. 
6280 


12 3 4 


5 6 7 8 9 


Diir 


Jhff.it Uvk. 


• 9506 9666 sr735,98o4 9873 


t^l 


♦oiitoo8o 


oi5<> 


0219 






8i 


798 oa88 0357:0426 


o495o565 


07030772 


o84i 


0910 
1601 






82 


0979!io48 1118 


1 187 


1256 


i325 


i3o4i^3 
20652154 


1 532 






83 


167? 


1740 1809 


1878 


1947 
2638 


2016 


2224I2293 






84 


2362 


243i 


25oo 


2569 


2707 


2776 2846 


2915 


2984 






85 


3o53 


3l22 


3I9I 
3882 


3260 


3329 


3398 
4089 


34673536 


36o6 


3675 






86 


3744 


38i3 


4^2 


4020 


4158 4227 


4206 


4366 






87 


4435 


45o4 


4573 


47" 


4780 


48494918 


4987 


5o56 






88 


5i25 


5io4 
5885 


5263 


5333 


54oa 


5471 


554o5&9 


5078 


5747 






89 


58i6 


5954 


6023 


6092 


6161 


623o 6299 


6368 


6437 






6390 


65o6 


6575 


6645 


6714 


6783 


6852 


6921 

7611 


X 


7059 


7128 




I 


70 


9« 


?^ 


7266 


7335 


74o4 


7473 


7542 


7749 


7818 




2 


i4o 


92 


7956 
8646 


8025 


8004 
8784 


8r63 


8232 


83oi 


8370 


8439 


85o8 




3 


210 


93 


8577 


8715 


8853 


8022 
9012 


X 


9060 


9129 


'^ 




4 


a8o 


94 


9267 


9336 


94o5 


?474 


9543 


9750 


9819 


69 


5 
6 

I 


35o 
4ao 


96 


7990047 


♦026 
0716 


0095 
0785 


0164 
o854 


0233 
0^3 


o3o2 


0371 
1061 


o44o 
ii3o 


o5o9 


0578 
1268 




9Z 


1337 


i4o6 


1475 


1 544 


i6i3 


I75i 


1820 


1958 
2647 




9 


63o 


98 


2027 


2765 


2164 


2233 


23oa 


2371 


2440 


25o9 








99 


2716 


2854 


2923 


2992 


3o6i 


3i3o 


3199 


3268 


3337 






63 00 


34o5 


3474 


3543 


36i2 


368i 


3750 


fa 


3888 


Xe 


4026 






01 


47^4 


4i64 


4233 


43o2 


4370 


4439 


4577 


47i5 






oa 


4853 


'r. 


^ 


5o6o 


58i6 


5197 


5266 


5335 


5404 






o3 


5473 


5542 


5749 
6438 


5886 


6?44 


6024 


6093 
6782 






04 


6162 


6a3i 


63oo 


6369 


65o6 


6575 


6713 






o5 
06 


685i 
7540 


6920 
7609 


6989 

7677 


7o58 

7746 


7126 
7815 


7195 
7884 


7^4 
7953 
8641 


7333 
8022 


7402 
8091 


7471 
8159 
8848 






07 


8228 


8w 


8366 


8435 


85o4 


8573 


8710 


8779 






08 
09 


8017 
• 9605 


5m 


9055 
9743 


9123 
9812 


9^1 


9261 
9949 


9330 
♦018 


9399 
0087 


9468 
01 56 


9536 
0225 






63 10 


8000204 


o362 


043 1 


o5oo 


0569 


0638 


0707 


0775 


o844 


001 3 
1601 






II 


0902 


io5i 


1119 
1808 


ir88 


125? 


i326 


20I3 


i463 


1 532 






la 


1070 


1739 


1876 


1945 
2633 
3321 


20l4 


2i5j 


2230 


2289 






i3 
14 


2358 
3o46 


2427 
3ii5 


31^3 


2564 

3252 


2702 

3390 


2771 
3458 


2839 
3527 


3?^ 


Ws 






i5 


3734 


38o2 


3871 


3940 
4627 
53i5 


4009 


4077 


4i46 


42i5 


4284 


4352 






16 

17 


4421 
5109 


4490 

5178 


455o 
5246 


53^ 


4765 
5453 


4834 
5521 


i^ 


1? 


5o4o 

5727 






18 


5796 


5865 


5o34 
6621 


6002 


6071 


6140 


6209 
6896 


6277 


64i5 






'9 


6484 


6552 


6690 


6758 


6827 


6965 


7o33 


7102 






63 ao 


7171 


7239 


7308 


7377 


7446 


75i4 


7583 


7652 


7720 


7789 
8476 






ai 


7858 


7927 
8614 


ml 


8064 


8i33 


8aoi 


8270 


833o 
9026 


84o8 




I 


r% 


aa 


8545 


8751 


8820 


8888 


8957 
9644 


9094 
9781 


9163 




a 


a3 


9232 


9301 


11% 


9438 


9507 


9575 


9713 


985o 




3 


207 


a4 


• 9919 


9987 


0125 


0193 


0262 


o33i 


0399 


o468 


0537 




4 


2^ 


a5 


8010605 


0674 


0743 


08II 


0880 


^1 


1017 


1086 


ii55 


1223 




5 


345 


a6 


1299 


i36i 


1420 
2116 


2184 


i566 


1704 


1772 


i84i 


I91O 
2?^ 




6 


414 


27 


1078 
2665 


2047 


2253 


2322 


2390 


2459 
3i45 


2527 




7 


483 


a8 


2733 


2802 


2871 


43i2 


3oo8 


3076 


32143282 1 




8 


55a 


29 
63 3o 


335 1 
4o37 


3420 
4io6 


3488 

4<74 


3557 
4243 


3694 
438o 


3763 
4449 


383i 
45i7 


3900 
4586 


3968 

4655 




9 


6ai 




3i 


4723 


4792 


486o 


^t 


^ 


5o66 5i35 


52o3 


5272 


5340 






3a 


B 


5478 


5546 


5752 5821 


5889 
6575 


6^43 


6026 






33 


6i63 


6232 


63oi 


6369 
7055 


6438 65o6 


6712 






34 


6849 


6918 


6986 


7123 7192 


7261 


7329 


7398 






35 


7466 


7535 


7603 


7672 


7740 


78097878 


7946 


8oi5 


8o83 






36 


8i52 


8220 


8289 


8357 


8426 


84948563 


863i 


8700 


8769 






37 


8837 


8006 


^J 


9043 


91 II 


9180 


9248 


9317 


9385 


9454 






39 
Nmn. 


• 9522 
8020208 


9591 
0276 


h 


9728 
o4i3 


X 


9865 
o55^ 


9033 
0619! 


♦002 
0687 


0070 
0756 


0139 
0824 






12 3 4 


5 6 7 8 9 


Diff. 


DiflUkMah. 



LOGARITHMS OP NUMBERS. 



93 



Nimi* 

9340 

4i 
4a 
43 
44 

45 

46 
47 
48 

49 
63 5o 
5i 
5a 
53 
54 

55 
56 

5? 
58 
59 

63 6o 
6i 
6a 
63 
64 

65 
66 
67 
68 

69 

63 70 

71 
72 

73 
74 

75 
76 
77 
78 
79 
63 80 
81 
8a 
63 
84 

85 
86 
87 
88 

89 

6390 

9' 

94 

96 

9Z 
98 

99 



1234 56789 Diir. 



803 0893 
1578 
aa6a 

2947 
363a 

43i6 
5ooi 
5685 
6369 
7o53 



233 1 
3oi6 
3700 

4385 
5069 
5753 
6438 
7ia2 



7737 

84a I 

9105 

• 97899857 

8o3o472 



78067874 



8490 
9173 



ii56 
1839 

2522 

3ao5 
3888 

4571 
5a54 

^. 

73oa 



o54o 

224 
1907 
2590 
3a74 
3957 



1292 
1976 
2659 
3342 
4o25 

46394708 



9348 

8o4oo3i 

0712 

1394 
2076 
2758 
3439 
4iai 

4802 
5483 
6164 
6845 
75a6 

8207 

8887 

# 9568 

8o5 0248 

0929 



1609 
2289 

3^9 



1677 
^2357 
^3o37 

, 717 
43294397 

5o77 
5756 



6368 

7047 



77267794 



84o5 

9085 

• 9764 

8o6o44a 

II91 



io3o 
1715 

30I4 
3769 

4453 
5i38 

5822 

65o6 
7190 



8558 
9242 
125 



5322 

6oo5 
96687 

7370 

8o53 
8735 

9417 
0009 
0781 

i463 
2t44 
2826 
35o7 



555i 
6282 
6913 
7594 

8275 
8956 
9636 
o3i6 
<W7 



7ii5 



8473 
9152 
983 1 
o5io 
.8j> 



1783 
2468 
3i53 
3837 

4522 

52(j6 
5890 
6574 
7258 

7043 
8626 
9310 



5391 
6073 
6756 
7438 

8121 
88o3 
9485 
0167 
0849 

i53i 

2212 
2894 
3575 



i36i 

2044 

2727 

3410 

4093 

4776 
54595527 



6i4i 
6824 



41894357 
48704938 



5619 
63oo 
6981 
7^2 

8343 
9oa4 
9704 
o385 
io65 

1745 
2425 
3io5 
3785 
4465 

5i45 
58a4 



6436 65o4 6571 



7i83 
7862 

854i 
9220 



057J 
1257 



7327 
801 1 



9378 

062 

0745 

1429 
2112 
2795 
3478 
4i6i 

4844 



6210 
6892 



773o 

84ii 
9092 

9773 
0453 
ii33 

i8i3 
3493 
3173 
3853 
4533 

5ai3 
5892 



7251 
7930 

8609I 
9288 



1 325 



1167 
i85i 
2536 
322r 
3906 

4590 
5274 



75o6 7575 

81898257 
8871 " " 
9553 
0235 
0917 

1 509 

2?8l 

2962 
3644 
4325 

5oo6 5o74 
5687 " 
6368 



8039 
9621 
o3o3 
0985 

1667 
349 
3o3o 
3712 
4393 



5756 

6437 

7049 71 18 



7798 

8479 
9160 
9840 

052I 
1 201 

1881 

256i 
324i 
3921 
46oi 

5280 



73io 
799S 

8677 

9356 

o35 

i46|o7i4 



1393 



7^35 
1 930 
26o5 
3289 
3974 

4658 
5343 
6037 
6711 
7395 

8070 
876! 

9447 
oi3o 
0814 

i4q7 
2181 
2864 
3547 
4a3o 

4013 
5595 



2673 
3358 
4042 

4727 
541 1 
6096 
6780 
7464 

8i48 
883 1 
951 5 

°o^ 
i566 

22< 
2Q53 



l5 
4398 

4981 

5664 



6278634664146483 



6960 
7643 

8335 
9007 



96909758 

0373 

io53 



70397097 

771 1 

8393 
9076 



1735 
3417 



37i 
446i 

5 143 
5834 
65o5 
7186 
7866 

8547 
9338 



o589 
1269 

1949 
29 



5348 
6028 



7387 
8066 

8745 
9434 
oio3 
0782 



i3o4 1373 
3o57 



3743 
3426 
4iii 

4795 
5480 
6164 
6848 
7533 



8216 



493317 



3ooo 
3683 
43664435 



8463 
9144 



0440 
J 1 22 

(8o3 
3485 
3167 
3848 
45394! 



98369894 



o58o 0657 



1337 

30I7 

2697 



3309 3377 



4o57 
4737 
5416 



60966 

67076775 



7455 
8i34 

88i3 
9492 
0171 
o85o 



i46o i538 



i44i.i5o9 

3I35!3194 

2810*3879 
349513563 
4i 704348 

48644033 
5548 5617 
6233|63oi 
60166085 
76007069 



8384 




50495 
5733 ' 



117 
58oo 



7i65 
77797848 



853o 
9313 



o5o8 
1190 

1873 
3553 
3a35 
3916 
1598 



53 1 1 

5899 
6573 
7354 
7934 

86i5 
9396 9364 



5960 
664i 
7333 
8oo3 

8683 
9364 
♦o44 
0735 
i4o5 



7390 
8071 

8751 
9433 

OII3 
67 0735 0793 



3o85 

3765 
3445 

4i35 
48o5 

5484 
164 
6843 
7533 
8203 



9560 



8353 
9037 
9720 
o4o4 
1087 

1771 
3454 
3i37 
3830 
45o3 

5i86 
5868 
655i 
7333 
7916 

85o8 
9300 

'•3 



0576 
1358 

1940 

aoa 

33o3 

3o84 

4666 



5379 5347 



473 

3i53 
3833 
35i3 

4f93 
4873 

5553 

6333 



8370 

6339 o3o7 

17 



i336 

3008 
3690 
3371 
4o52 
4734 

541 5 
6096 



6038 
67096777 



7458 
8139 

8819 
9500 
0180 
0861 
i54i 



3901 
358i 
4361 
4941 

5620 
63oo 



691 1 6970 
75907658 



8338 
9017 

o374 
io53 
1732 



12 3 4 6 6 7 8 9 



DiflT. 



Diflf. & Molt. 



i38 
207 
276 
345 
4i4 
483 
552 
621 



I 


68 


2 


i36 


3 


204 


4 


272 


5 


340 


6 


408 


7 


476 


8 


544 


9 


612 



67 

x34 
201 
268 
335 

402 



6o3 



Diff. 4t MuH. 



94 



^ 



Nam. 
6400 

Of 

02 
o3 
04 

o5 
06 

07 
08 

09 
64 ro 
II 
la 
i3 
i4 

i5 
16 

17 
18 

"9 
6420 
ai 
22 
a3 

a5 
a6 
27 
a8 
29 
64 3o 
3i 
3a 
33 
34 

35 
36 
3? 
38 
39 

64 4o 
4i 
4a 
43 
44 

45 
46 
4? 
48 

49 
64 5o 

5i 

52 

53 
54 

55 
56 
5? 
58 
59 

Nvm. 



LOGARITHMS OF NUMBERS. 



12 3 4 



5 6 7 8 9 



8061800,1868,1935. 
• 3614' 



2003 



2478'2546 26i4'a682 
3 1 57i3225 32923360 



7225 
7903 

858o 



9258 9326 9393 



8070612 
1290 

1567 
3644 



♦oo3 
0680 
1 357 

2o34 
2711 



3320 3388 



^4 

535o 
6027 



4o65 
4741 
54r8 
6094 



67036771 



737s 
8o55 

8731 

• 9407 

8080083 



7447 

8123 
9475 

oi5i 
0759 0826 



1434 

aiio 
3785 



4i36 
48ii 



5486 5553 
61606228 



6835 
75io 
8184 

88598026 
• 95339600 



8090207 
o88r 
i555 



2a2o 2297 
290J2970 
35773644 
4a5o43i8 
4934 4991 



5597 



6044 

7617 



8962 

• 9635 

8ix)o3o8 

0980 

i653 



3oo3:3o7i 



458i 464947174784 



3835 
45i3 

5 1 91 5259 5327 
5869 5937:6006 
6547 661 5 6683 



7293 
7970 



87168784 



0071 
0748 
[435 

2102 

2779 
3456: 
4i32 



5553 
623o 



5o2 

3177 
2853 



5486 
6162 
6838 
75i4 
8191 

8867 

9542 
0218 

08940961 
15691637 



34603528 



43o3 



6oo3 

7577 
835a 



0275 



5664 



6270 6338 64o5 



9702 
0375 
io48 



7361 
8o38 



480948774944 



5621 

6397 

60066074 

75837650 

83a6 

900a 
9678 



a345 
39ao 
3595 
4371 



48784946 
56ao 



0342 



oo4q 1016 
1623 1690 



5o58 
5732 



701 1 7078 
76847751 



8290835784348491 



9770 
o443 
iii5 



i7aolr787 



4o38 



2071 
2750 
3428 
4io6 



53b5 
6073 
6751 
7438 
8106 



9461 
01 38 
0816 
1493 

2170 
3847 
3523 
4200 



5463 
6i4i 
6818 
7496 

8174 

885i 
9530 
0206 
o883 
i56o 

2237 

3Ql4 
3591 

4: 



23l2 
2988 

3663 
4338 
5oi3 

5688 
6363 

7037 
7713 



6295 
6970 
7645 
83198387 



2364 
3o38 
371 1 
43854452 



5126 

6472 
7146 
7819 



903090979164923a 



9837 

o5io 
1 182 
i855 



8258 

8o34 

9610 

02860353 
1029 
1704 

238o 
3o55 
3730 
4406 
5o8i 



5755 
643o 
7io5 
7780 
8454 
9128 



9061 
97359803 

040^0477 
ii5i 
i8a5 



1084 
1757 

343 1 a. 
3io5 3i7: 
37793846 



499 

I175 



4530 
5193 

5866 
654o 
7213 
7886 
8559 



o: 

1349 

1922 



ai39 
2817 
3496 
4174 
4852 

553o 
6208 
6886 
7564 
8242 



3564 
4343 
4930 

5598 

63766344 
7022 



0274 
0951 
1628 

a3o5 

298! 

3659 

4335 

5oia 

5689 
6365 ( 
7041 
7717 
8393 

9745 
0431 
1096 

1772 

3447 
3i23 
3798 
4473 
5i48 

5823 
6498 

7173 
7847 
8521 



6o54 
7632 
83098377 

9055 
9733 
0409 
1086 
17^ 

3440 
3n7 
3794 
4471 



o343 

r^ 

2373 
3o5o 
3726 
44o3 
5o8o5i47 

57565824 



9870 
o544 
1218 
1892 

2566 
3240 
3914 
4587 
5260 



7280 
7953 



220712275 
2885 2953 



6433 
7100 

7785 
846i 

0488 
1 164 
i84o 

25i5 
3i 

.5 
454i 
5216 

5890 
6565 
7340 



91969363933 



9Q38 
0612 ( 
1386 
i960 

2634 

33o7 
3981 
4654 
5328 

6ooi 



7347 
8020 



86268693 

9299 

9973 

0644 

x3i7 

I 



363 

43io 

4988 

5666 



5o56 

5734 
64i2 



5i24 
58o2 

6479 

70897157 

- 7835 

85i3 

0477 
ii54 
i83i 



76997767 
- 8445 



25o8 
3i85 
3862 
4538 
52i5 



5891 
65oo6568 
71767344 



7853 
85398! 



7920 
8596 



9304 
9880 
o556 

1333 

1907 

3582 

3258 
3933 
4608 
5283 



9273 

1399 
1975 



3 

73o7 



7914 7983 
8589166568734 



I 
♦oo5 
0679 
i353 

3027 

3701 

3375 

4o48 
4733 
5395 

6068 



66746742 



74i5 
8088 
8761 



9366 9433 9501 
0173 



♦039 
0711 
i384 



0106 



9892056 



i45i 

2123 



^343 
302l 



36903767 
43784445 



3325 
4000 
4676 
535i 



7375 



9398 
0073 



7482 
8i55 
8838 



07790846 



i5i8 
3191 



2410 
3089 



o545 
laaa 
1899 

3576 
3353 

5383 



73i3 
7988 
8664 

9340 



♦oi5 
0691 
i367 
3043 

265o|37i8 



3393 
4o6B 
4743 
54i8 



60356093 
67006768 



7443 



8049 81 17 
" '8791 



9466 
01 4o 



07470814 



1431 
3094 

3768 
3443 
4ii6 
4789 
5463 

6i366ao3 
68096876 



t488 
ai63 

3836 
3509 
4i83 
4856 
553o 



7549 
83aa 
8895 



oa4i 
0913 
i586 

2258 



01234 56789 



Due 



DiCJkMalt. 



I 
2 

3 
4 
5 
6 

7 
8 

9 



DUK 



DUtlbMdL 



LOGARITHMS OF M0MBSRS. 



95 



5 6 7 8 9 




01234 56789 



Did: 



67 



Diff. 



Diff. 4t Molt 



©7 
i34 
aoi 
a68 
335 
402 



6o3 



/ 



I 


66 


2 


i3a 


3 
4 


t 


5 


33o 


6 

7 


^ 


8 


5a8 


9 


594 



Diir. k. Moh. 



96 



LOGARITHMS OF NUMBERS. 



Num. 

6520 

ai 

32 

a3 

24 

25 
26 
27 

28 
29 

65 3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

65 4o 
4i 
43 
43 
44 

45 
46 
47 
48 

49 

65 5o 

5i 

52 

53 

54 

55 
56 
57 
58 
59 

65 60 
61 
62 
63 
64 

65 
66 

67 
68 
69 

6570 

71 
72 
73 
74 

75 
76 
77 
78 
79 
Nonn. 





814 2476 
3i42 
38o8 
4474 
5i4o 

. 58o5 
6471 
7i36 
7801 
8467 
9i32 

• 9797 
8i5o4o2 

1 1 27 
1791 

2456 

3l20 

3785 
4449 

5ii3 

5777 

644 

7io5 

7760 

8433 

9097 

• 9760 
8160423 

1087 
1750 

24i3 
3076 
3739 
4402 
5o64 

5727 
6389 
7052 
77M 



1234 56789 



254312609 2676 2742 

3200 3275 3342 



DiC 



DiflT.JtMvh. 



3875 
4540 
5206 

5872 
6537 
7203 
7868 
8533 

98S 
0528 

[sU 

2522 
3187 

385 1 
45i6 
5i8o 

5844 
65o8 
717a 
7836 
8499 
9163 
9826 98< 



83768443 



9o38 

• 9700 

8170362 

1024 

1686 

2347 



3670 
433 1 
4993 

5654 
63i5 
6976 



8297 

8958 

• 9618 

818 0278 



3o4i4oo8 
4007 4674 
5273 5339 

593860056071 

6737 
7402 
8068 



66046670 
7269 7336 
7935 8001 
8600,86668733 

92659331 

1 200! 1 326 

19241991 

2589*2655 
325il332o 
3918^984 
4582I4648 



5910 
6574 
7238 

7902 7968 
85668632 



0490 
ii53 
1816 

2479 
3i42 
38o5 
4468 
5i3i 

5793 
6456 
7118 
7780 



9105 
9767 
0428 
1090 
1752 

24i3 



30093075 



3736 
43o8 
50S9 

5720 
638 1 
7042 
7702 
8363 

9024 
9684 
o344 
ioo5 
i665 



5246 



53i3 

5977 
664i 
73o5 




o5! 

1 210 1286 

i883i949 

2612 



2546 

3209 3275 

•"- 3938 

4600 

5263 



3871 
4534 
5197 

5859 

6522 

7184 

7847. 

85098; 



5926 

6588 
725i 
79i3 

8575 



1071 
1731 



9237 
o56i 

1223 

1884 
2546261 



9171 
9833 
0495 
ii56 
1818 

2480 

3i4i 

38o2 

44644536 

5i25 

5786 
6447 
7108 
7768 



3207 
3869 
453o 
5191 

5852 
65i3 
7174 
7835 
84298495 

90909156 

975o 9816 
o4io 



3408 
4074 
4740 
5406 



0477 o543 
ii37 i2o3 
1797 1 863 



2809,2876,2942 
3475 3542 36o8 



4i4i 
4807 
5472 



627163386404 



6100 1 

677 J < 



61766242 
6840 



74377504 



8101 
8765 



8167 
883i 



2678 



bo84 
6645 
73o6 
7967 
8627 



42744341 



4940 
56o5 



7003 
7668 
8334 



746917535 
81348201 
8799 8866 8932 8999I9065 

9464 9531 95§7 9664 9730 

0129 

0794 

1459 

2124 

2788 
3453 

4ii7 
4781 
5445 



40704 
4733 4799 
53965462 

6o58 6i246 
^787 



8111 



4067 



6711 

737a 
8o33 



88978964 



9561 
0224 
0888 
i55i 
aai4 

2877 
3540 
42o3 
4866 
5528 



744975157582 



8707 8774 8840 8906 897; 

93699436950295689634 
" 0098 " " 
0739 
142 1 
2o83 2149 

2744 2810 
333934063472 



4i33 



47284794 
53895455 

6o5o6ii66i82 



6777 
7438 

869318759 

9288 9354;942o 
♦0140080 
o675'o74i 
i335]i4oi 
[995I2061 



5oo6 
5672 



7070 
7735 
8400 



824483 



0892 
1 553 

2215 



5521 



6843 
75o4 
8i65 
8825 

9486935 



9627 
0201 



180 2347 

3ofo 
3673 
42694335 



6257 6323 



2043 

36o4 
4265 



6249 
6009 

7570 
823i 
8892 



67 
i34 

30I 
268 

335 
4oa 
460 
535 
6o3 



I 


66 


a 


l32 


3 
4 


t 


5 


33o 


6 

7 


X 


8 


5a8 


9 


594 



1234 56789 



Diir. 



Diff.JkMvit. 



LOGAHITHHS OF NUMBERS. 



97 



Num. 

6580 

8i 
8a 
83 
84 

85 
86 
87 
88 

89 

6590 

9' 

t 

97 
9« 
99 
6600 
01 

03 

o3 

04 

o5 
06 

07 
08 

09 

6610 

XI 
12 

i3 

i4 

i5 
16 
17 
18 

^9 

66 30 

ai 

33 
33 

a4 

35 

36 

^7 
38 
39 

66 3o 
3i 

33 

33 
34 

35 
36 

37 
38 

39 

ICam. 



01234 56789 



818 3359 
3019 
3579 
4339 
4898 

5558 
6317 

6877 
7536 
8195 

8854 

• 95i3 

8190173 

o83i 

1489 

3i48 
2806 
3465 
4i33 
4781 

5439 
6097 
6755 
74i3 
8071 

8728 
9386 
830 0043 
0700 
i358 



858o 
9336 93o 



• 9893 
831 o548 

I303 

1859 
35i4 
3170 
3825 



44804546 



5i35 
5790 
6445 
7100 
7755 



9064 
o* 97«8 
833 0373 
1037 



3335 3391 
3o5i 



3985 
3645 
43o5 
4964 



8930 

08970962 
1 555 102 1 

23r4 

3872 

353 

4189 

4847 

55o5 
6i63 
6821 

V^ 

8794 
945i 

70D 



i4a3 



5201 
5856 
65ii 
7165 
7820 



84098475 



9129 
9784 
o438 



371 1 
4370 
5o3o 



3457 
3ii7 
3777 
4436 
5096 



8393 8459 



9052 
9711 
0370 
1028 
1687 

2346 
3oo4 
3662 
4321 
4979 
5637 
6295 
6953 
7610 
8268 

8925 
9583 
0240 



1 334 



5495 
61 52 
6808 
7464 
8121 



06790744 



2121 

2776 
3432 
4087 
474a 



i4oo 

2o55 
271 1 
3366 

4o32 
4677 

5332 
5087 
6642 
7296 
7951 

8606 
95 9260 9326 



91 18 

9777 
o436 
1094 
1753 

241 1 
3070 
3728 
4386 
5o45 

5703 
636o 
7018 
7676 
8334 

o3o6 



08980063 
1 555 1020 

2313 3377 
28692934 

3525 3591 
41824248 
48394905 

556i 



6218 
6874 
753o 
8186 



5238 

5888 
6547 
7306 
7866 7« 
8535 8! 



9184 
9843 
o5oi 
1160 
1819 

2477 
3i36 
3794 
4452 
5iio 

5768 
6426 
7084 
774a 



93509315 

o567o633 
1326 
1 885 



3543 

3303 

386o 
45i8 
5176 

5834 
6492 
7i5o 
7808 



83998465 



90579123 



9188 
9780 9846 



2721 

338i 

4o4i 

4700 4766 483 

536o 5426 

60196085 



2609 
3267 
3926 
4584 
5242 



1007 
1662 

23i8 
2073 
3628 
4284 
4939 

5594 
6249 



8867 
9456 9522 



9447 

0106 
0765 
1424 
2082 

2741 



47i5 
5374 
6o32 
6689 
7347 
8oo5 
8662 



9254 93; 



2540 
3197 
3854 
45x1 
5167 

5824 
648o 
7i36 
7793 
8449 

9105 
9761 
o4i6 
1072 
1728 

2383 
3o39 
3694 
4349 
5oo4 



5659 
63i4 



Jn 



5889 

6546 
7203 
7858 
85i4 



5735 
638o 
7o34 
7689 
8344 



01234 56789 
13 



Diir. 
""66" 



Diff. & Halt 



66 
l33 

264 
33o 



528 
594 



65 
i3o 

260 
325 
390 
455 
520 
585 



Diir. 



Diff. k. Mult. 



98 



LOGARITHMS OF NUMBERS. 



6640 

4i 
4a 
43 
44 

45 
46 
47 
48 
49 
66 5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

66 6o 

6i 

62 

63 
64 

65 
66 
67 
68 

69 

6670 

71 
72 
73 
74 

75 
76 
77 
78 
79 
6680 
81 
82 
83 
84 

85 
86 

87 
88 
89 

6690 
91 

$ 

98 
99 

Nnm. 



01234 56789 



8W 1681 
2335 

2( 



4296 

4950 

56o3 
6257 
6910 
7563 

8216 

8869 

• 9522 

8280175 

0828 

i48i 
2i33 
2786 
3438 
4090 

4742 
5394 
6o46 
6698 
7350 

8002 
8653 



746 
2400 
3o54 
3708 
4362 

5oi5 
5669 

6322 

6075 

7629 

8282 
8935 
9588 

0241 
0893 

i546 
2198 
285 1 
35o3 
4x55 

4808 
5460 
6111 
6763 
741 5 

8067 

8718 



93059370 
♦021 



• 9956 
8240607 

1258 

321 1 

3862 

45i3 
5i63 
58i4 
6464 
7»i4 

7765 
84i5 
9065 

• 97x5 
835o364 

ioi4 
1664 
23i3 

36i2 

4261 
4910 
555o 
6206 
6857 
7506 
81 54 
88o3 

• 945i 
836 0100 



1812 
2466 
3119 
3773 
4427 
5o8i 
5734 
6387 
704 1 
7694 

8347 
9000 
9653 
o3o6 
0956 

161 1 
2264 
2916 
3568 

4221 
4873 

5525 
6177 
6828 



i3a3 
1975 
2025 
3276 
3927 

4578 
5228 

5879 
6529 

7179 
783o 
848o 



1079 
1720 

2376 
3028 
3677 



4326 
4975 
5624 
6273 
6922 

7571 
8219 
8868 
9516 
oi65 



877 
253 1 
3i85 

38893^ 
4492 
5i46 

7106 

77597825 

8478 
9i3i 
9784 
o436 



84i2 
9065 
9718 
0871 
1024 

1676 
2829 
2981 
3684 
4286 

4038 
5590 
6242 
6894 



74807545 



8182 
8788 
9435 
0086 
0672 P787 



1889 

2o4o; 

2691 

384i 

8992 

4643 
5298 
5o44 
6594 
7244 

7895 
8545 



9180 9195 
97809845 
0429 0494 



ii44 
1794 
2443 
8098 
3742 

4891 
5o4o 
5689 
6888 
6987 
7686 



8197 
8849 
9500 
oi5i 
0808 

1454 
2io5 
2756 
84u6 
4o57 

4708 
5858 
6009 
6659 
7810 

7960 
86io 
9260 



0559 0624 



1309 
i85o 
25o8 
3i57 
8807 

4456 
5io5 
5754 
64o8 
7052 

7700 



8284 884< 

8988 

9581 

022962946359 

1 2 3 4 



1089 

1742 
2894 
3o47 

4I?? 

5oo8 
5655 
68q7 
6959 
761 1 

8262 
8914 
9565 
0216 
0868 

i5i9 
2170 
2821 
3472 

4l22 

4773 
5428 
6074 
6724 

7375 

8025 
8675 
9825 

'24 
1374 

1924 

2578 

8222 

8872 

4521 
5170 
5819 
6468 

7117 

7765 
84i4 
9062 

97" 



3008 
3662 
8816 

¥? 
4628 

5277 



2078 

2737 
8881 
4o85 
4688 

584a 



7802 
7955 

8608 

I 

1 4 

0567 

1220 

1872 

2525 

3i77 



6588 
7287 
7890 

8543 
9196926] 

9849 
o5o2 
ii54 

1807 
2459 

3lI2 

8764 
4416 

5o68 
5720 
6872 
7024 
76767741 

8827 

0282 
0988 

1 584 

2235 

2886 
3537 
4187 



448i 

5i84 
5786 
6487 
70897 



♦o4o 



9137 

9776 



5407 
6061 
.14 

7367 
8021 



[967 



867487898804 



9827 

9979 
0682 

1285 

1987 
2390 
3242 



8829 8894 



4547 

65o3 

i54 

7806 



8892 
9044 
9695 
0847 
0998 



2800 
2o5i 
8602 

4252 

4903 



67896854 
7440 



8090 
8740 
98909455 



?0J 
54 

»2o4 
«54 
75o5 

8i55 
88o5 



oio5 



i4o4 
2o58 
2708 
8352 
4002 

465 1 
58oo 



6! 
7246 

7880 7895 
84798544 



9192 
9840 



04240489 



u8o, 

!79?| 



2304,2269 



2858 



8446 8512 
4ioo4i66 
47544819 



5473 

6136 6191 
6770 f " 
7483 
8086 



8458 
9109 
9761 
o4i2 
io63 



9892 
♦045 
0697 
i85o 

2oo3 
2655 
38o7 
3960 
4612 

5264 
5916 
6568 
7220 
7871 
8533 
9174 



16491714 

"^ 2865 
8016 
8667 
43i8 

4q68 
5619 



4888 
5489 
6189 6204 6269 6884 6899 



75- 



19 

70 

8220 
8870 
9520 
0169 



0689 0754 0819 0884 094sL ^ 



i46 
211 
2768 

3417 
4066 



5365 



7811 

7960 
8608 
9257 

o554 



292$ 

3577 
4281 
4884 



5538 
I 
6845 
7498 
8i5i 



9457 

Olio 

0768 
i4i5 

2068 
2720 
8873 
4025 
4677 
5329 
"i 
3 

7285 
7936 

8588 
9289 



9826 9891 



0477 
1128 

1779 
2480 
8081 
8782 
4388 

5o88 
5684 



6084 
7635 

8385 
8985 
9585 
0284 



1 584 
2188 
2883 
8482 
4181 



47164780 



5480 



60146078 
6662 " 



8025 
8678 
9822 
9970 
0618 



o542 
1198 

i844 
2495 
8i46 
3797 
4448 

5098 
5749 



7049 

7700 

885o 
9000 
9650 
0299 



\^ 

2898 
3547 
4196 

4845 
5494 
6143 



6727 6792 
78767441 



8090 
8788 
9387 
o85 
0683 



5 6 7 8 



Die 



65 



DiflT. 



DifllJkMiJt. 



I 


66 


a 


182 


3 

4 


•£ 


5 


33o 


6 

7 


% 


8 


5a8 


9 


59< 



65 

i3o 

825 



520 
585 



Diir.JkMrit 



LOGARITHMS OF NUMBERS. 



99 



Num. 

«T00 

oi 
02 
o3 
04 

o5 
06 
07 
08 

09 
6710 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

6720 

ai 

23 
23 

24 

25 

26 

27 
28 
29 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

6740 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

6750 

5i 

52 

53 
54 

55 
56 

57 
58 

59 

NUL 



12 3 4 



5 6 7 8 9 



Diff. 



Diir. k, MalL 



69236987 
7369 7633 



8214 

8860 

# 95o5 

8280151 
0796 
i44i 
2086 
2731 

3376 
4021 
4665 
53io 



82798343 



7887 
8532 
9176 924< 



• 9820 

8290463 

1107 

I75i 

2394 

3o38 
368i 
4324 



2109 2174 



2757 
34o5 



4o53 4ii7 
4700 47^5 
5348 " " 



473o 47< 
5375 



2822 
3470 



2887 
3534 

4182 
483o 

5477 
6125 
6772 

7419 
8067 

8714 
9361 
♦007 

o654 
i3oi 
1947 
2594 
3240 

3887 
4533 
5i79 
5825 
6471 

7117 
7762 
84o8 
9053 



5955601960836148 

6728 6792 

" 7437 

8081 

8725 



12. 
187Q 

2523 



6382 
7025 
7668 
83io 



88898953 



1007 
i5oi i655 
22^9 23o3 



5542 
6190 
6837 

7484 
8i3i 
8778 
9425 
0072 

0719 
i366 
2012 
2659 
33o5 

3951 
4597 
5244 
5889 
6535 

7181 
7827 
8473 
9118 



7372 
8016 
8660 
9304 9369 943. 



♦oi3 
o656 
i3oo 
1944 
2587 

323i 
3874 
4517 
5i6o 
58o3 



2951 
3599 
4247 



96999763 
o344 



3569 
4214 
485o 
►5o3 



1072 
1720 
2368 
3oi6 
3664 



43i2 

1^ 

6254 
6902 

7549 
8196 
8843 
9400 
oi37 



4376 
>595o24 
5672 
63i9 
6966 

7614 
8261 



9555 
0201 

07840848 



i43o 
2077 
2723 
3370 

4oi6 
4662 
53o8 

6600 

7246 
7891 
8537 
9183 



1495 

2l4l 

2788 
3434 

4o8o 

4727 
5373 
6019 
6665 

73x0 
7956 
8602 
9247 



0473 
1119 
1764 
2409 
3o54 

3698 
4343 
4988 
5632 



6921 

7§65 



8854 
9498 

oi4i 
0785 
1429 
2073 
2716 

335< 
400' 
4646 
5289 
5932 

6575 
7218 
7861 
85o3 
9146 



ii37 
1785 
2433 
3o8i 



37293794 



4441 
5089 
5736 
6384 
7o3i 

7678 
8325 
2 



02( 

00x3 0978 
i56o 1624 
2306 

2852 

3499 
4i45 
4791 
5437 
6o83 



2271 

4210 

4856 
55o2 
6x48 
6729 6794 

7375 
8021 
8666 



98289893 



o538 
ii83 
1828 
2473 
3ii8 

3763 
4408 
5o52 
5697 



62776341 

6986 

7630 
82108274 



8918 
9562 

0206 
o85o 
1493 
2i37 
2780 

3424 
4067 
4710 
5353 
5996 



7282 
7925 
8567 
9210 



1202 
i85o 
2498 
3x46 



5x54 
58oi 
6448 
7096 



2 



7743 
83oo 
90^7, 
9684 974< 
o33i ~ 



93x2 
9957 
0602 
1248 
1893 
2538 
3x83 

3827 
4472 
5ii7 
5761 
64o6 

7o5o 
7604 
8338 
8982 
9026 

0270 
0914 
i558 
2201 
2845 

3488 
4x3i 

4775 
5418 
6o6x 



7439 
8o85 
8731 



9376 9441 
♦0220086 



663967046768 



7346 
8^32 



1267 
1915 
2563 

32IO 

3858 



x33i 

1979 
2627 
3275 
3923 



45064571 

~ 52x8 

5866 

65x3 

7x60 



7808 
8455 
9102 

f? 
6395 

X042 
1689 
2335 
2082 
28 

4274 
4920 
5567 
6212 
6858 

75o4 
8x5o 

8795 



9x7298; 
1563 362l 



0667 

l3l2 

1957 

2002 

3247 

3892 

4537 

5i8i 
5826 
6470 

71 14 
775o 
84o3 
9047 
969X 

o335 
0078 
1022 
2266 
2909 

3552 
4196 
4839 
5482 
6x25 



7411 
8o53 
8606 



9274 93j8 



073 x 

1 377 

2022 
2667 
33X2 

3956 
4601 

5a46 
5890 
6535 

7x70 
7823 
8467 
9XX1 

9755 

fog 
1686 
233o 
2973 

36x7 
4260 
4903 
5546 
6x89 

6832 
7475 
8x18 
8760 
94o3 



65 
i3o 
195 
200 
325 

4?5 
520 
585 



64 
128 
192 
256 
320 
384 
448 

5X2 

576 



01234 56789 



Dur. 



Diff.JtMolt. 



100 


LOGARITHMS OF NUMBERS. | 


Nam. 
6760 


01234 56789 


DtC 


DifT^Miilt. 


• 9467 


953i|95o5 
oi74-oa38 


96609724 


9788 


9852 


9?»7 


^\ 


♦045 






6i 


8300109 


o3o2 


o366 


043 1 


a4o5 
1x37 


0559 


0687 






6a 


0752 


0816 


0880 


2aa9 


1009 


1073 


laoi 


ia65 


x33o 






63 
64 


i3o4 
2o36 


1 458 
2100 


l522 

ai64 


x65i 
aa93 


I7i5 
a357 


»779 
2421 


1843 
a485 


1908 
a55o 


1972 
2614 






65 


2678 


2742 


a8o6 


2871 


2935 


'^, 


3o63 


3137 


'^l 


3a56 






66 


3320 


3384 


3448 


35i2 


3?77 


3705 


3769 


z 






^ 


3962 
4604 


4oa6 


4090 
4732 


4x54 


42x8 


4283 


4347 


44xT 


4475 






68 


4668 


47g6 
5438 


4860 


4924 


4988 
563o 


5o53 


5ii7 


5x8i 






69 


5a45 


5309 


5373 


55oa 


5566 


5694 


5758 


5823 






6770 


5887 


5951 


6oi5 


6079 


6x43 


6ao7 


6272 


6336 


64oo 


6464 




I 


65 


71 
7a 


65a8 
7169 


7a54 


6656 
7208 


6721 
7362 


6785 

74a6 


6849 
7490 


69x3 
7554 


6577 
76x8 


7041 
7683 


7io5 

7747 




2 

3 


i3o 


73 


7811 


7875 


8oo3 


8067 


8i3i 


8x95 
8837 


8a6o 


83a4 


8388 




4 


74 


8452 


85x6 


8644 


8708 


8772 


890X 


8965 


9029 




5 


325 


75 


9003 

• 97J4 
83 1 0375 


9157 


9221 


9285 


9349 


94x3 


9478 


9542 


9606 


9670 




6 

7 
8 

9 


520 

585 


76 
1, 


979B 
043^ 


9862 
o5o3 


m 


^ 


♦054 
0695 
x336 


0XX9 
0759 


oi83 
0823 


0247 
0887 


o3ii 




78 


1016 


1080 


ii44 


X208 


127a 
1913 


i4oo 
ao4x 


1464 
aio5 


1 528 


-rl- 






79 


i656 


1720 


1784 


1849 


1977 


ai69 


aaS3 






6780 


2207 


236i 


2425 


2489 


2553 


2617 


2681 


2745 


a8o9 


2873 






81 


2937 


3ooi 


3o66 


3x3o 


38?4 
4474 


3a58 


3322 


3386 


345o 


35x4 






8a 
83 


3578 
4218 


3642 
4282 


3706 
4346 


3770 
44io 


3898 
4538 


3962 
4602 


4026 
4666 


4090 
47^0 


4x54 
4794 
5435 






84 


4858 


4922 


4986 


5o5o 


5ii4 


5x78 


5242 


53o6 


537X 






85 


!^?9 


5563 


5627 


63?! 


5755 


58x9 


5883 


6587 


60XX 


6075 


64 




86 


6139 


6203 


6267 


6395 
7034 
7674 


6459 
7098 

7738 


6533 


665i 


6715 




87 
88 


6778 
74i8 


6842 
7482 


6906 

7546 


6970 
7610 


7x62 
7802 


7226 
7866 


79?^ 


7354 






89 


8o58 


8122 


8186 


8250 


83x4 


8378 


8442 


85o6 


8570 






6790 


^ 


8762 


8826 


8890 


02*3 
087a 


90x8 


9081 


9145 


9309 


9273 






9' 


9337I9401 


9465 


9529 


9657 


9721 


9785 


9849 


1192 






9a 
93 


83aS;^ 


♦04 1 
0680 


oio5 
0744 


0169 
0808 


1575 


o36o 
xooo 


0424 
1064 


0488 
X128 






94 


1255 


i3i9 


i383 


1447 


i5xi 


x639 


1703 


X767 


i83x 






9i 


1895 
2534 
3173 


io5o 
2598 
3237 


2022 


ao86 


ai5o 


22X4 


2278 


2342 


a4o6 


2470 






96 

9Z 


2662 
33oo 


2725 
3364 


2780 
3428 


a853 


29x7 
3556 


2981 
3620 


3o45 
3684 


3io9 
3748 






98 


38i2 


3875 


3o3o 


4oo3 


4067 


4195 
4834 


4259 
4898 


4323 


4387 






99 


445o 


45i4 


4578 


4642 


4706 


4770 


496X 


5oa5 






6800 


^ 


5i53 


5217 


5281 


5345 


54o8 


5473 


5536 


56oo 


5664 






Of 


5702 
643o 


5855 


IV^ 


5983 


6047 


61 IX 


6175 


6239 


63oa 




T A^ 


oa 


6366 


'.ni 


662a 


6686 


6749 
7388 


68x3 


6877 


6941 

7579 




1 


128 


o3 


7oo5 


7069 


7196 
7835 


7260 


7324 


7452 


75x5 




2 

3 
4 


04 


7643 


7707 


7771 


7898 


7962 


8026 


8090 


8x54 


8217 




JS 


o5 


8a8i 


8345 


8409 


8473 


8537 


8600 


8664 


8728 


8792 
943o 


8856 




5 


320 


06 


.;,9?5? 


8983 


?2f2 


91 1 1 


9x75 


9238 


9302 


9366 


9494 
01 32 




6 


384 


07 


9621 


9685 


9749 


98x3 


9877 


9940 


♦004 


0068 




7 


448 


08 


8330195 
o833 

1471 


0259 


o323 


038-7 


045 1 


o5i4 


0578 


0642 


0706 


0770 




8 


5l2 


09 
6810 


0897 
1 535 


0961 


1025 
1662 


1088 
X726 


ii5a 
1790 


12X6 

x854 


xa8o 

19x8 
2555 


,344 

io8x 
26x0 
3256 


1407 
2045 




9 


576 




II 


2109 
2746 


2173 


23oo 


2364 


2428 


249X 


2683 






I a 


2810 


2874 


3?,1 


3ooi 


3o65 


3x29 
3766 


3x93 


3320 






i3 


3384 


3448 


35ii 


427^ 


3703 


383o 


S!f 


3958 






14 


4021 


4o85 


4149 


421a 


4340 


4404 


4467 


4?95 






i5 


i 


4722 


4786 


485o 


itf. 


'^,1 


5o4x 


5xo5 


5i68 


5232 






16 


536o 


5423 


5487 


5678 


5742 


58o6 


5869 

65o6 






17 


'^4 


6060 


6124 


6188 


625x 


63x5 


6370 
7010 


6443 






18 


6697 


6761 


6825 


6888 


695a 


7080 


7143 






^9 

Num. 


7ao7 


7271 7334 


7398 


746a 


75a5 


7589 


7653 


7716 


7780 






01234 56789 


Diir. 


DimitMnft. 



LOGARITHMS OF NUMBERS. 



101 



Nam. 

6830 

ai 
aa 

a3 
a4 

a5 
a6 
a? 
a8 

29 

68 3o 
3i 
3a 
33 
34 

35 
36 
37 
38 

39 
6840 
4i 
4a 
43 
44 

45 
46 

47 
48 

49 
68 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 
6860 
6z 
6a 
63 
64 

65 
66 

67 
68 

69 

6870 

71 

7a 

73 
74 

75 
76 

?2 

79 
Nan. 



12 

17844 



5 6 7 8 9 



9117 

9754 



834039064540517 

ii54 
1790 
a4a6 
3o6a 
3696 



4ao7 4a7i 



54795 



i54a56o6 
^6i786a4i 



67506813 



7385 
8021 



865687198783 



9291 



99269990 



835o56i 
1196 
i83i 
a465 
3ioo 

3735 



5638 
6372 

6906 
7540 
8174 
8807 
• 9441 

8360075 



i34f 
1975 
a6o8 

3a4i 
3874 
45o7 
5i4o 
5773 

64o5 
7038 



83o3 
8935 

• 9567 

837 0109 < 

0832 < 

i463 

3095 

87*7 



335934 



22 
5253 



79077971 
85448608 



9181 
9817 



1090 
1726 
2363 

2< 



4334 
49064970 



68776940 



7449751a 



8084 



8i48 



9354 



06a 5 
1259 
1894 
2529 
3i63 

3798 
4432 
5067 
5701 
6335 

^ 

8237 
8871 
9504 

oi38 
0708077 



i4o5 
19752038 



2671 

33o4 
3937 
4570 
52o3 
5836 



76707734 



8366 
8998 

963i 
0263 
0895 
1 527 
2x58 



2790 
•':2a 
4o53 
4685 
53i6 



9a44 9308 937a 



iai7 
i854 
2490 
3ia6 
376a 

43q8 
5o34 
5669 
63o5 



9418 
♦o53 

0688 

i3a3 

o58 

2592 

3227 

386i 
4496 

5764 
6398 

7033 
7666 



7576 
821 1 
8846 
948i 
0117 

0751 
i386 
202 1 



646965326595 
7101 71647328 



o326 
0058 
1596 
aaa2 

2853 
3485 
4117 
4748 



5379I544: 



8672 



83oo8364 

8934 

9568 

0201 
o835 
i468 
2101 
2735 

3368 
4ooi 
4634 
5267 
589959636026 

6658 



77977860 
84298493 
906a 



96949757 



0389 
loai 
i653 
2a85 



ia8i 
1917 
a553 
3190 
3826 



o8i5 
i45o 
2o85 
2656 2719 
"3354 

3925 
4559 
5194 
5828 
6462 

7096 

773o 



7291 

7923 

8556 

91259188 



9820 
0452 
1084 
1716 
2348 



3917 3980 
3548 3611 
4180 4a43 



4874 
55o6 



8163 

^U 

0072 
0708 

1345 
1981 
a6i7 
3253 



83a6 

886a 

94- 

01. 

077a 

i4o8 
ao45 
2681 
33i7 



38893953 
45a5 



4589465 
5aa4 ' '^ 
586o 
6496 
7i3i 



5i6i 

57i 
643 a 

7067 

7703 
8338 
8973 
9609 
oa44 

0878 
i5i3 
ai48 
3783 
3417 
4o52 
4686 475o 



7766 
84o2 
9037 
9673 
o3o7 

0942 

1577 

2212 
2846 
3481 

4ii5 



53 20 
5955 
6589 

7223 
7857 
8490 
9134 
9758 

0391 

I025 

i658 
3391 
3935 

3558 
4191 
4834 
5456 
6089 

6733 
7354 
7987 



9351 

9883 
o5i6 
"47 
1779 
34ii 

3o43 
3674 



5384 
6018 
6653 

7286 
7920 
8554 
9188 
9821 

0455 
iob8 
1721 
2355 
2988 

3621 
435443 



4179 
48i3 
5447 
6081 
671667796843 



5530 
6i53 

6785 

7417 
8o5o 



86198683 



9314 



9?47 
0579 



o: 
laii 
1843 
3474 

3io6 
3738 



43064369443 
5ooi 
5633 



1473 
3io8 
3744 
338o 
4ot6 



r9o64' 



08990963 

3 sis 
3873 
35o8 
4i43 



4080 

4716 
535i 



4779 
541 5 
6o5i 
6686 

733a 

7957 
8593 
9337 
9863 
0498 



43o6 
4940 
5574 
6208 



74i3 
8047 
8681 
9314 
9948 

o58i 

I2l5 

i848 
2481 
3ii5 

3748 
438i 
5oi3 
5646 
66279 

691 1 
7544 
8176 



9441 



7476 
8110 
8744 
9378 
♦on 

0645 
1378 
1911 



38ii 
4444 
5077 
5709 
6343 

6075 

7607 
8340 



8809887a 



95o4 

oi36 
0768 
i4oo 

2032 

3664 

3396 
3927 
4559 
5190 
5831 



12 3 4 



5 6 7 



Dim 



8 9 Diff* 
TT 



Diff. & MQh. 



64 

138 

19a 
356 

330 

384 
448 

5l2 

576 



I 


63 


3 


136 


3 


189 


4 


35i 


5 


3i5 


6 


378 


7 


44i 


8 


5o4 


9 


567 



DifR^Malt. 



102 



LOGARITHMS OF NUMBERS. 



85 
86 
87 
88 
89 

6890 
91 

94 

98 
99 
6900 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 
69 10 
II 
12 
i3 
i4 

i5 
16 

17 
t8 

>9 

6920 

21 

22 

23 

24 

25 

26 

37 
28 
29 

6980 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

Num. 



837 5884 
65i6 
7147 

7778 



5o48 
6579 
7210 
7841 



9733 
o364 



8409 8472 

9089 9103 

• 9670 
838o3oi 

0931 
1 56a 

2192 
2822 
3453 
4o83 
4713 

5343 
5073 
6602 

7232 

7861 
8491 

9120 

• 975098 



47764839 



60II 
6642 

7273 

8! 
9166 



2255 

2886 
35i6 
4i46 



0427 
io57 
1688 

23i8 



839 0370 
1008 

i637 
2266 
2895 
3523 
4i52 

4780 
5409 
6037 
6666 
7294 

7022 
855o 
9178 

• 9806 
8400433 

1061 
1688 
23i6 
a?43 
3571 

4198 
4825 
5452 
6079 
6706 

■7332 

T " 

8! 

9212 

• 9838 

84io465 
1091 

1717 
2343 



5406 
6o36 
6665 
7295 
7924 

8554 
9183 

~12 
0442 
IO7I 

1700 
2329 
2957 

3586 
42i5 

4843 
5472 
6100 

6728 
7357 

7985 
86i3 
9241 



42094272 
4902 

5460 5532 
60906161 
672816791 

73587421 
79878050 



6o74|6i37 



Norn. 12 3 4 

6880 

81 
82 
83 
84 



5 6 7 8 9 



6705 
7336 
79^ 
8598 

9229 



97969859 



t^. 



6768 



0490 
1121 
1751 

238i 

3oi2 

79 3642 



1826 
2454 
3o83 
3712 
4341 



n 
6226 
6854 
7482 



8047 
8675 



93o3 9366 9429 
♦057 
0684 



0496 

1124 
1751 
2379 
3oo6 
3633 

4360 
4888 
55i5 
6i4i 
6768 

7395 
8022 
8648 
9275 9337 
9901 

o527 
ii53 
1780 
2406 



1249 
1877 
25o4 
3x32 
3759 



8661 

9292 
122 
o553 
ii84 
i8i4 

2444 
3075 
3705 
4335 
4965 

5595 
6224 
6854 
7484 
8ii3 

8743 
9372 
♦001 
o63o 
1259 

1888 

•i5i7 
3x46 
3775 
44o3 

5o32 
566o 
6289 
6917 
7545 

8173 
8801 



l3l3 

\^ 

3194 

38ji 

4449 
50^6 
57o3 
633o 
68946956 

7583 
8210 
8836 
9463 
0089 

o653o7f5 
1270 1 341 
190^ 
253 1 
3x57 3219 



620016263 



683 1 
7462 
8093 



87248787 
9355 



116 
1247 
1877 
2507 
3x38 
3768 
4398 
5028 

5658 5721 
6287 635o 
69176980 
7547 7610 
81768239 

8806 
9435 
0064 
0693 

l322 
195 1 

258o 



4466 

5095 

5723 

635 

6980 

7608 

8236 

8864 

9493 

oil 

0747 

1375 
2002 
263o 269: 
3257 •*" 
3884 



45ii 
5x38 
5765 
6392 
7019 

7646 
8272 



952 

Ol52 

0778 

i4o4 
2o3o 
2656 
3282 



6894 
7525 
8x56 



90182 



520 1 
5828 
6455 
7082 



95449607 

0175 

o8o5 

i436 

ao66 



3327 
3?57 
4587 
5217 

5847 
6476 
7x06 
7736 
8365 



5220 
5849 

6477 
7io5 
7733 

82998361 
8927" " 



i5oo 
2128 
2755 
3382 
4oio 



45744637 



5264 
5891 
65x8 
7144 



8460 8523 
I9024 9087 9149 



7708 7771 
8335,8398 

9t)08'965o 

02X410277 

0840 

14671529 

20932155 

27x92781 

3344i34o7 



6389|6452 



7020 
7652 
8282 
8913 



0238 
0868 

1499 
2x29 

26962759 



24 

0253 
0882 
i5x 

2i4o 

3398 

4026 
4655 

5283 
59x2 
654o 
7168 



9o52 



o3o8 



1 563 
2190 
2818 
3445 
407a 

^ 

5953 
658o 

7207 

7834 



97x3 



1 0903 0966 
1 329 1392 



2 

22X8 
2844 
3470 



7084 

77i5 
8346 
8976 



3390 
4o2o 
465o 
5380 

5910 
6539 
7169 

7796 
8428 

9057 

9687 
o3i6 
oo45 
1574 
2ao3 

2832 

3460 
4089 
4718 
5346 
5o74 
66o3 
723i 



77967859 
84248487 



91x5 



96809743 



0871 



09350998 
1626 

2253 

2881 

35o8 



4i35 

476a 
5389 
60x6 
6643 
7270 

7896 



9776 



0339040a 

1028 
i654 
2280 
2906 
3532 



969 3o3 1 

01234 56789 iHtt 



Diir. 



DiCJkMolL 



63 



Diff.lt Molt 



LOGARITHMS OP NUMBERS. 



103 



Nam. 

6940 

4i 
4a 
43 
44 

45 
46 
47 
48 
49 
6950 
5i 

53 

53 
54 

55 
56 

57 
58 

59 
6960 
61 
6a 
63 
64 

65 
66 

68 

69 

6970 

71 
72 
73 
74 

75 
76 
77 
78 
79 
6980 
81 
82 
83 
84 

85 
86 

87 
68 

89 

6990 

9' 

?? 

9B 
99 

Norn. 



01234 56789 



5472 

m €097 



9413595 
4220 



4846 4< 



3657 
4a83 



51 
6160 



67336785 
73487410 



7973 
8S98 
9223 

• 9848 
842 0473 
1098 
1722 
2347 
2071 
3596 
4220 
4844 
5468 

6092 



80368098816 



8661 



1 160 
1785 
2. 



0598 

1223 

i847 
409 2472 

3o34 
3658 
4282 
4907 
553i 

61 55 



67166779 



7340 
7964 
8588 



74o3 
8026 
865o 



98359897 
o52o 

II44 
1767 



92II 

843^58 
1081 
1705 

2328 

2951 
3574 
4197 
4819 

544a 
6o65 



73io 
793a 

8554 



• 9798 

844 0420 

1042 

i664 
2266 
2907 
3529 
4i5o 

^4772 

5393 

' 6or4 

6635 

7256 

7877 
8498 
91 19 



97399801 



845^366 



3720 
4346 
4971 
5597 
6222 



7473 



8733 
93489411 



♦o36 
0660 
1285 
1910 
2534 



0098 
0723 
i348 
1972 
2597 

3o963i59322i 

- - -^3845 

4470 

5094 

5718 



3721 
4345 



6217 

684i 
7465 
8089 8i5i 



8712 



927493369398 



1206 



2. 

3oi3 
3636 
425943 



4882 

55o4 
6127 



66876749 



7372 
7994 
8616 



9176 9239 93o 



9861 
o483 
iio4 

1726 
2348 
2970 
3591 
4ai3 

4834 
5455 
6076 
6697 
73i8 

7939 
856o 
9181 
I 
o4a2 



3782 
4408 
5o34 
565o 
6285 

6910 
7535 
'1 



390 2452 

*3o75 

3698 

"^21 

4944 



5567 
6189 
6813 



8o56 



01 
23 

0545 
1 167 

1788 



3o32 
3653 



61 38 



738o 

8001 
8622 
9243 
9863 
o484 



3845 
4471 
5096 

5722 
6347 

6q73 
7598 
8223 



87868848 



9473 



3783 
4407 
5o3r 
5656 

6280 



6342 



8775 



♦022 

0645 

1268 

1 829! 1892 

35i5 



3i38 
3761 
4383 
5oo6 

5629569; 



625i 
6874 



74347496 



8119 



86798741 
- 9363 



9985 
0607 
1229 

i85i 



2410 2472 



3094 
3715 



427543374399 

489649585020 
5517 5579 5642 



6201 



67596822 



7443 



7^ 

82i3 

8837 

9461 
0084 
0707 
i33i 
1954 

2577 
3200 
3823 
4446 
5069 



I 
63i4 
6936 
7559 
8181 

88o3 
9425 
♦047 
0669 
1291 

1913 
2534 
3i56 
3778 



6263 
6884 
75o5 



8o63 8i26 
868418746 
9305I9367 

o%1'; ^" 



5l 59 5321 

57845847 
6410647a 

70357098 
7660^723 



8286 8348841 1 



III 
36 

01600223 
07850848 
147a 
2097 
2722 



i4io 
2o35 
2659 

3284 
3908 
4532 
5i56 
5780 



3346 
3070 
4595 
5219 
5843 

64046467 



7028 
7652 



7091 
7714 



82768338 
88998962 

95239585 



01 46 
0770 
1393 
2016 

2639 

3262 
3885 
45o8 
5i3i 

5753 
6376 

7621 
8243 

8865 
9487 
01 

073 i 
i353 



1075 
2597 
32x8 
384o 
446i 

5082 
5704 
6325 
6946 

8188 
8808 



4o33 
45964658 



7160 



77857848 



90369098 
9661 

0285 
0910 
1 535 
2160 
2784 



3408 

4o33 

4657 

528 

5905 

6529 
7153 

7777 
84oi 



0209 
o832 
1455 
2079 

2702 
3325 
3948 
4570 
5193 

58i6 
6438 
7061 
7683 
83o5 

8928 
9550 
090172 
0794 
i4i5 



90249086 

9710 
o333 
0957 
i58o 

22o3 



2037 
3659 
3280 
3902 

4523 

5i45 
5766 
6387 
7008 



8250 
8870 
9429 9491 
♦o5oori2 
06700732 



5284 



4^95^ 
4721 
5347 

U 

7233 



4i58 
4784 
5400 
6o35 
6660 

7285 
7910 
8536 
9161 
97239786 



8473 



o348 
0973 
1597 
2222 
2846 

3471 
4095 
4719 
5344 
5968 

6592 

7215 
783o 
8463 



0271 
0894 
i5i8 

2l4l 

2764 
3387 
4oio 
4633 
5255 

5878 
65oo 
7123 
7745 
8368 

^^ 
9612 

0334 

o856 

1478 

3099 
2721 
3343 
3964 
4585 

5207 
5838 

6449 
7070 



7629 7691 



83i 

8933 

9553 

0174 

0794 



2826 

3449 
4072 
4695 
53i8 

[o 
6563 
7i85 
7808 



9053 



0396 
0918 
1 540 

3l6l 

3783 
34o5 
4036 
4647 



5890 
65ii 
7i33 
77^ 



3 8374 
.5 

0336 
o856 



o4io 
io35 
1660 
3384 
3909 

3533 
4x58 
4783 
5406 
6o3o 

6654 

7378 

70O3 

8535 
9149 

9772 
0396 
1019 
1642 

2365 

3889 

35ii 
4i34 

4757 
538o 

6oo3 

6635 
7247 
7870 



84308493 



9"4 



96749736 



o358 
0980 

I003 
3334 

3845 

3467 
4088 
4710 



53695331 



5953 

6573 

7194 
7815 

8436 
9057 
9677 
0398 
0918 



12 3 4 



5 6 7 8 9 DMT. 



DiiT. 



Diir.4 



63 
136 
189 

353 

3i5 
378 
441 
5o4 
567 



I 


63 


2 


134 


3 


186 


4 


348 


5 


3io 


6 


372 


7 


434 


8 
9 


in 



Diir.&Malt. 



104 



LOGARITHMS OF NUM0£RS. 



Nvm. 

TOOO 

oi 

03 

o3 
o4 

o5 
06 
07 
08 

09 
7010 
II 
la 
i3 
14 

i5 
i6 

17 
18 

>9 
7030 
ai 
aa 
a3 
a4 

a5 

a6 

a7 

aa 
39 

70 3o 
3i 
3a 
33 
34 

35 
36 
37 
38 
39 

7040 
4i 
4a 
43 
44 

45 
46 

47 
48 

49 
70 5o 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

Ifaiik 



01234 56789 



Dir. 



DiClfcli^L 



845 0080 

lOOI 

aaai 
a84i 
3461 

4081 
4701 
5331 
5o4i 
656i 

7180 
7800 
8419 
9o38 
• 9658 

846 0377 
0896 
i5i5 
ai34 
3753 

3371 
3( 



5337 
5845 

6463 
7081 
7700 
83 18 
8935 

• 9553 

847 01 7 1 

0789 < 

i4o6 

aoa4 



a64i 
3a58 
3876 
4493 
5iro 

5737 
6343 
6q6o 
7577 
8193 

8810 



8480043 
0659 
1375 

1891 
35o7 
3i33 

373( 



4970 
5586 
6aoi 
6817 



io43 
i663 

3383 

3903 
3533 

4i43 
4763 
5383 
6oo3 
6633 

7a4a 
7863 
I 

9100 
9730 

0339 
0058 
1577 
3196 
38i4 

3433 
4o5a 
4670 
5389 
5907 

65^5 
7143 
7761 



43o5 4a67 



48a5 
5445 
6o65 
6685 

73o4 
7924 
8543 
9163 
9781 

o4oi 
loao 
1639 
3357 
3876 

3495 
4ii3 
473a 
535o 
5969603 



6587 
73o5 

7833 



8379844 



8997 
9615 

0333 
o85o 
i468 
3o85 

3703 
33ao 
3o37 
4554 
5171 

5788 
64o5 
7022 
7639 
8355 

8873 



94a6 9488 



iio4 

1735 
3345 
3965 
3585 



905991 



0395 
0913 
i53o 
3147 

3764 
3383 

4^ 

5333 

585o 
6467 
7084 

7700 
83i7 

8o33 
905© < 
0166 
0783 
1398 

30l4 

363o 



J7J9 3800 cJa()3 3934 
4355441644784539 



5o33 5093 
56471 5709 
6363J6334 



5709 577< 



1 167 
1787 
3407 
3o37 
3647 



4887 
5507 
6137 
6746 

7366 
7986 
86o5 
93 a4 
9843 

0463 
1083 
1700 



1339 

1849 
3469 
3089 

3709 

4339 

6189 
6808 

74a8 
8047 
8667 
9386 
9905 

o534 
1 143 
1763 



23io238i 
2938 3ooo 



3557 
4175 
4794 
54i3 



3619 
4a37 
4856 
5474 
6093 

6649 6711 



7367 
7885 
85o3 

31 



967797399800 



0974 
1 591 



3443 
4061 
4678 
5395 

5913 

6538 
7145 
7763 
8378 

8995 
5ll 
6338 
0844 
i46o 

3076 
3693 



3346 33o8 
3863 



6878I6940 
7433'74937555 

12 3 4 



5i55 
o 
6386 
7001 
7616 



7339 

7?47 
8565 
9183 



o356o4i8 



io36 
i653 



3309 3371 
3836 3888 



35o5 

4l33 
4739 

5356 

5973 
6590 
7307 
7834 
844o 

9057 
9673 
0389 
ooo5 
i$3a 

3x38 
2754 
3369 
3985 
4601 

5316 
5833 
6447 
7063 
7678 



1391 
191 1 

353l 

3i5i 

3771 



45i5^ 
5i35! 
5755 f 
6375 ( 
6870 6933 6994 7o56|7i 

7490 7553 



4391 
5oii 
563i 
635i 



8109 
8730 
9348 
9967 



o586o648 

1305 

1834 
3443 

3o6a 

368o3743 
4399 436i 
4917 
5536 
61 54 



6773 
7391 
8009 
8636 
9344 

9863 
o48o 
1097 

1715 

3333 



6834 
7453 
8070 
8688 



o35i 
0067 
x$83 



343 

4o47 
4663 

5378 
5893 
6569 
7134 
7739 



i353|i4i5ii477 



1773I3035 
3655 
3375 



4453 
5073 
5693 
63i3 



8171 
8791 



94109473 
♦039 0091 



63166378 



930693689430949 



i5o3oii 



3950 
3567 
4i84 
48oi 
5418 

6o35 
6653 
7369 
7885 
85o3 

9118 
973597969858 



6714 



389539574019 



4577 
5197 
5817 
6437 



7614 

8333 
8853 



38o4 
44a3 
5o4i 
566o573 



6896 
75i4 
8i32 
8750 



6775 



9180 9341 



0474 
[090 
1706 

3333 

3938 
3554 
4170 



3361 

3877 
3493 
4108 
47344786 



5401 



6633 

7347 
7863 



3097 

3717 
3337 



0773 
1391 

30I0 
3679 3691 



8813 



3073 
36393690 

4346 43o7 
4863 4935 
5480 5543 

6097 61 58 6330 6283 



3384 3446 

3ooo3o6i 

36i6 

433i 

4847 

5463 
601760786140 



6693 
7309 



7030 



8i33 
86878748 

9365 



6755 

7370 



7934 7985 



6a 



I 

a 
3 
4 
5 
6 

7 
8 

9 



5 6 7 8 9 



DiflT. 



DUKIbMall. 



LOaAElTHMS OF NUMBERS. 



105 



Nwk 

T060 

61 
63 
63 
64 

65 
66 

67 
68 

69 

7070 

71 
72 
73 
74 

75 
76 
. 77 
7« 
79 
7080 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

7090 

9* 

$ 

98 

99 
71 00 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 

71 10 
II 

13 

i3 
i4 

i5 
16 

17 
18 

»9 

Nam. 



0_ 

848 8047 

866a 

9377 

• 989a 

8490567 

II aa 



12 3 4 



1736 1798 



a35i 
3965 
358o 



419443564317 



48o8 
5433 
6037 
665i 

7^ 
7878 

849a 



9106 9167 93a6 
• 9719978019843 

85oo333 



559 
ai73 
3786 



3399346035: 



4oii 
4634 
5a37 
585o 

6463 
7075 
7687 
83oo 
8913 



• 

85i 6i36 
0748 
i36o 
1973 

3583 
3195 
3807 
44,8 
5o3o 

564i 
635 a 
6863 
7474 
8o85 



• 9917 

853 0538 

1139 



3070 
358o 



4190 435i 



810918170 



8734 
9339 

o^ 
ii83 



8785 
9400 
♦01 5 



a4ia 
3oa7 
364i 



06300691 

1345 
1859 
2474 
3o88 
3703 



4870 
5484 
6098 
6713 



4931 
5545 
6159 
6775 



73267387 



94o 

8553 



8001 
86i5 



0394 
1007 
i6ai 
3a34 
2847 



0455 
1069 
168a 
3395 
3908 



4073 
4686 
5398 
591 1 



836i 



0197 



i43i 
ao33 



8757 



93079368 



1749 1810 
335934: 



30 

3o3i 
364i 



8333 
8847 
946a 

0077 



4378 

6331 

6835 

7449 
8063 



o5i7 
ii3o 
1743 
3356 
39693031 



31 

4i34 
4747 
536o 
597a 



3583 
4195 
4808 
5431 
6o34 



77497810 



8433 



8973 9034 9095 9157 
9534 9585 9646 9708 9769 



0358 



08090870 



i483 
2094 

36453706 
33563317 
3868" 
4479 4546 
5091 

5703 
63i3 
6934 
7535 



6985 
7596 
81468307 



8818 



9 ♦046 

9o65o 

1 361 



1871 
3481 
3093 
370a 
43ia 



i3o6 
1931 
a535 
3i5o 
3764 



86768737 



9390 
9903 



65a4 6585 6646 6707 



7136719773597330 



7871 
8483 



033O 

093a 
1544 
3i55 

3767 



a 
5ai3 

5834 



5i53 

5763 
637464356496 



7046 
7657 
8368 



94399490 



071 

l333 

loSa 
a54a 
3i53 
3763 
4373 



8393 
8908 
9533 
01 38 
0753 

i368 
1983 
3597 

33II 

3836 

4440 
5o54 
5668 
6a8a 
6896 

75io 

8134 



9351 
9965 

0578 
1 191 
i8o5 
3418 



3644 
4357 

?483 
6095 



793a 
8545 



o38i 

33 16 
3838 



3379 3440 

" 4o5i 
4663 
5374 
5885 



7108 

7719 
8339 

88798940 



9551 
0163 
0772 
i383 

\^ 

3ai4 
3834 
4434 



5 6 7 8 
8355 84168478 8539 



0T990361 



0814 
1439 
2044 
3658 
3373 
3887 

45oi 
5ii5 
5730 
6344 
6958 

7571 
8i85 



4563 

5i77 
5791 
64o56466 



7633 
8a46 



87998860 

9412 

♦oa6 

0639 < 
1353 
i^ 

3479 
3093 

3705 
43i8 
4931 
5543 



9474 
0087 

0701 
i3i4 
1037 
354o 
3i53 



738i 
T 



9318 



0442 
io54 
1666 
3378 



3889 
35oi 

4lI3 



5335 

5o46 
6558 
7169 
7780 
8391 

9001 
9613 

0333 

o833 
1444 

ao54 
2665 
3375 
3885 
4495 



9o3i 



90^ 



9646 9708 9769 9831 



o333 



0876 0937 0999 1060 
14901553 

aio5 



3730 3781 



3334 



3948 4oio 4071 



46a4468647 
5a38 53oo53 
585a 5914 59 
65a8 65 
7019 7080 7143 72 



7694 
83o8 
893 a 
9535 
0149 

076a 
1375 
1988 
aoo3 
33i5 



37663838 
437944404503 
' ' '-5115 



4993 



67696830689 



7443 
8o55 
8667 



98309891 
o5o3 
iii5 
1737 
3339 



3< 

3563 



47244785 



5396 

6008 
6619 
733o 
7841 
8453 

9063 
9673 
0384 
0894 
i5o5 

3Tl5 
3736 

3336 
3o46 
4556 



o384 



3167 



33963457 



7755 
8369 1 
8983 • 
959< 

03I0 



5o53 



5666 5737 



61 56 6317 6379 634o 64oi 



75o4 



9379 9340 9403 



^ 



1788 
3400 

3oia 
36a3 



41744235 



4846 
5457 

6069 
6680 
7391 
7902 
85i3 



o345 
0955 
1 566 

3176 
2787 
3397 
4007 
46i 



9'54 



i6i3 
3338 
3843 



969658 



0371 

o885 
1498 

3II1 
3734 



0833 
1437 

ao5o 
3663 
33763337 



6953 

7565 



81168177 
8738 



8789885 



♦014 
0636 



1176 ia38 



1849 
a46i 

3073 
3684 



4907 
5519 

61 3o 
6741 
7352 
7963 
8574 



91349185 
9734 9795 9856 



o4o6 
1017 
i6a7 

aa37 
2848 
3458 
4068 
4678 



8601 
9316 



0445 



5176 
5788 



7014 
7636 
8338 



9463 

0075 
0687 
1399 
1911 
a533 

3i34 
3746 



43964357 



4o68 
558o 

6191 
68oa 
74i3 
8024 
8635 

9346 



0467 
1078 
1688 

3398 

4ia9 
4739 



1234 56789 
14 



DtC 



INflllcMolt. 



61 
Diff. Difr.4tMalt. 



106 



LOGARITHMS OF WUMBEfiS. 



Nam. 

T130 

ai 
aa 
a3 
24 

a5 
26 

77 

29 

71 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

71 4o 
41 
4a 
43 
M 

45 
46 

47 

48 

49 

71 5o 

5i 

52 

53 

54 

55 
56 
57 
58 
59 

71 60 
61 

63 

61 
64 
55 

m 

67 
66 
69 

71 70 
71 
7a 
7^ 
74 

75 
76 
7? 
78 
79 



85a 4800 
5410 
6020 



662966906751 



7239 

7849 

8458 

9068 

• 9677 

853 0286 

0895 
i5o4 

2Il3 



2722 
333 1 

3940 
4548 
5i57 
5765 
6374 

6062 

7590 
8196 
8807 
9414 

854ooa2 
o63o 
1238 
1845 
2453 



0056 1017 
1 565 1626 
21742235 
'2844 
3453 



60966157 



6703 
73io 



248! 



91 3o 

• 9"3' 

855 0343 

ooSo 

i556 



5t92 
5797 
64t>3 

7008 
7614 
89 J 9 
B814 

B56oo35 
ofyo 



73607361 

7971 

858o 



406241 a 2 
4670 473i 
5279 
5887 
6495 



6764 
7371 
7078 
8584 



5340 
5948 



65566617 



7104 7165 



7712 
8320 
8928 
9536 



3182 
3789 
4397 
5oo4 
56ii 

6218 
6825 
7432 
8o38 
8645 



919T 9252 
97979858 
ci4o4 o464 



41 83 
4792 
5400 
6009 



7773 
838i 



oi44o2o5 
0812 



0265 
0873 

1420 i48] 

2028 
4 2635 



mio 
1616 



107111 J 3r 
1677 r 738 

a 28 3 a 344 



4646 47£^ 



[T93 
'796 

24o4 

Joro 

3495 3^56^ Jet6 

4332 

48aa 



3^89 ao'jr> 



7225 
7834 
844a 



89699050 
96979656 



5o64 5i25 
573a 



80998160 
87068766 

93129373 



s;!^ 



4i<53 

4768 
5373 

9 



5^53153 r 3 V. 

5BSfi' 59161^971 
6461 65341*358^ 

7^^7120719'* 
7674^77357795 

8ij8o!834o!84or 



5434 
60 3q 
tV345 
73 5o 
7856 

846 r 



BM'j'B946,9oo6 9066 
949fj;955o 9^^ 1 J 967 3 

O7o0'fr7fii'o82ilo882 



12 3 4 



6 6 7 8 9 



3Io? 
5715 
6325 
6934 
7544 

8x53 
8763 
9372 
9982 
0591 

1200 
1809 
2418 
3o27 
3635 



5i66|5227|5288 

5776 
6386 



8a i4 
88a4 



94339494 



♦042 
o652 

1261 
870 

2479 
3o88 
3696 



4244 43o5 4366 



4853 
5461 



49" 4 

5522 



6070 61 3o 



6678 



6739660068606921 



72867347 

7894 

85o2 



9110 
9718 

0326 
0934 
1 54a 
ai49 

2757 



3971 
4579 
5i86 



54g4 

6?o6 
73ii 
79''' 

8522 

9r^7 
973 



22 

5637 
6447 
7o56 
7666 

8275 
8885 



Oiod 
0713 

l322 
I931 
2540 

3i48 

3757 



4974 
5583 
61 91 



8563 
9171 
9779 
o387 
0095 
1602 
2210 



4o32 
4639 
5247 



57935854 

64006461 

70077067 
76147674 
82208281 
88278888 



OIOT 
0707 

3j3 
919 

a5a6 
3i33 



5896 
65o8 

7117 
7727 

83368397 



8o46 
9555 
0164 



07730834 
i383 1443 

109a 2052 
2000 



2661 
3270 

3879 

44274488 



3209 

38i8 



5o35 
5644 
62 S2 



79558016 

"8624 

9232 



9640 

a448 
io56 
i663 
2271 



2817 2878 



33643425 3486 3546 



4700 
53o7 
5914 

6521 
7128 
7735 
8342 



0768 
1 374 



9007 
9616 
0225 



5096 
5705 

63i3 



74o6 7469 753o 



8077 



9901 

o5o9 
1116 
1724 
233 1 
2939 



40934154 



84oa 



5349 



7178 
7788 



8i38 



86858746 
92939354 



996a 

0569 
1177 
1785 
2392 
3ooo 



36o7 
4214 
4822 
5429 
6o36 

6643 



476r 
5368 
5^75 
6582 

71807249 
77967856 



8463 



9009907a 



1435 



94339494I9555I9615 

♦o4o 

0646 

1353 

1859 

a465 
3o7T 

3677 
4^83 



1SS6 
3193 



9676 
0283 
o8aa 0889 
1495 
1101 



19602041 



3647 



3707 



3738'3-90 
434J44o-< 



3353! 33i3 

3S5939T9 

4465^5:. 5 

4&ft9l4949 5oi o 5070 15 1 3 1 

5555 56x6 5676:5737 
6^8315343 
688^6948 
7493:7553 
8D98|8r59 

8703 8764 
93489308 9369 
985'^|9gr4 9?T4 
o337]t>39& od5K u^ro ^079 
fj94''''r<J03lio63 M33 n84 

5 6 7 8 9 



6161 

67« 
7373 
7977 
858? 
9187 
9^9^ 



5oio 

56x6 
fiaar 
68a7 
7433 
8037 

8643 



DHT. 



Diir.it Urn 



fit 

t83 
a44 
3o5 

366 
4a7 
488 
S49 



60 

120 
180 
340 
3oo 
36o 

430 

4So 
540 



Dirr, 4t MalU 



LOGASiTHMS OF NUMBEES. 



107 



1 2 a 4 



5 6 7 8 9 



gas ti44|T3o5, 

1 849 1 9 r CI 
24Ml25i4 

.3663137^4 

4a69!4J38 
48737(933' 
547^;5>37, 
6o8r'fH4i 
66856745! 



1 365 1436 
^o3i 
303S 
3^40 
3845 



a 575 
3l8q 
3784 

4380' 



1465 
2091 
3696 
33oi 
3905 

4509 



4440 
49g^!5o5S;5n4 

,5^97 5658157^8 
63y3iGi63k)3aa 
fi8o66Bf)(3j0936 

7Q89I7J49 74io 747"l753i 



7893J7Q53 

8497j8557 

9101 916J 

* 97o4;9765 



8f>i48o748i34 
8d«Sy67aa738 



9a: 



857o3o8 
OQia 
i5i5 

3ll8 

2733 

3325 
3938 
453 
5i34 

5737 

634o 
<5?43 
7545 
8i48 
8750 



o368 
0973 
1575 

'ii79 
378a 

3385 
3988 
4591 
5194 
5797 
64oo 
70o3 
7605 
8108 
8810 



93539413 
" ♦oiS 
0617 

I320 
182a 



• 9955 

858o557 
1159 
1761 



2363 
2965 
3567 



4770 483i 



5372 
5973 
6575 
7176 

7777 



8080 

• 9581 

8590181 

0782 

i383 
i?84 
2584 
3x85 
3785 

4385 
4986 
5586 
6186 



9e35j9fl85 9946 

0439.0489 0549 
;o33|io93^) i53 
i536 1696 i7.5<5 
2^39 2199 a36o 
?9o3 3963 



3843 

3446 35o6 
40494109 



4652 
5255 
5858 



646o652i658i 



7063 
7666 
8268 
8871 



9473 9533 9594 



2424 
3o25 
3627 



5432 
6o34 
6635 
7236 
7837 



9040 
9641 
0242 
0842 

1443 
2044 
2644 
3a45 
3845 

4445 
5o46 
5646 
6246 



ilpaB: 



934 a 



47" 
53i5 
5918 



7123 

7726 



83298389 



8931 



0075 

06780738 
1280 
1882 

2484 
3o86 

3687 



01360196 
0738 0798 
1 340 
1942 

a544 
3i46 
3748 



4169 4229 4389 4349 4409 



4891 

5492 
6094 
6695 
7296 
7898 



8379 8439 8499 8559 8619 



9100 
9701 
o3o2 
0902 

i5o3 
2104 
2704 
33o5 
3905 

45o5 
5io6 



63o6 



6786684669066966 



3566 
4169 

477a 
5375 
5978 



7184 
7786 



8991 



4951 
5552 
61 54 
6755 

7357 
7958 



9160 
976; 
o362 
0962 

i563 
2164 
2764 
3365 
3965 

4565 
5i66 



57065766 



6366 



i4oo 
2002 

2604 
3206 
38o8 



5oii 

56i3 
6214 
68i5 
7417 
8018 



9220 
9821 
0422 
1 023 

1623 
2224 
2824 
3425 
4o25 

4625 
5226 
5826 
6426 
7026 



166& 
2273 
aS77 
3482 
40B6 

469' 
5395 
5^99 



3 
4ao7 



3687 
4290 
4893 
5496 



3747 
435o 
4953 
5556 



38o7 
4411 
5oi4 
56i6 
60996159 6219 

6822 
7425 
8027 
863o 
9232 



6701 
73o4 
7907 
85o9 
91 1 2 

9714 



o858 
1460 
2062 



2664 
3266 
3868 



5071 
5673 



6876 

7477 
8078 



li 
0482 
io83 

i683 
2284 
2884 
3485 
4o85 



88598919 
94Ci3|95'i3: 
0067101371 

0670JO730 
1 274] 1334! 
(877 193 
MBo 354 
3o&4 



6762 

7364 
7967 
8570 
9172 



0918 

l52I 
2123 



2724 
3326 
3928 

4470 453o 
" 5i3i 



5733 



627463346394 



6936 

7537 
8i38 



9280 9340 

o542 
1143 



1743 
2344 

3I45 
4i45 



41 
3r44 



17281 1789 
23333394 
2938^ ^ 
3542 
4r47 

475i 48 
5356 5416 
596o|(>030 
65tT4:fi6i4 
7168 7219 

7773 783 a 
8376:8436 
898019040 
9584,9644 
10 J 8710348 

0791 o85 1 
! 1 394! J 455 
199s! 3o5& 

300ji36t)t 

33o4 3?65 



3868 
4471 
5o74 
5677 
6280 

6882 
7485 
8088 
8690 
9292 



Nam. 

TtSO 

81 
83 
83 
H 

85 
m 
87 

88 
89 

7190 

9^ 
93 

9^ 

5r7 
9S 
99 
7200 
01 
02 
o3 
q4 

o5 
06 

07 
08 

09 

72 10 

II 

12 

i3 

i4 

iS 

16 

17 
18 

'9 

7«20 
21 
22 
23 
24 

25 
26 

27 

28 
29 

72 3o 
3i 

32 

33 
34 

35 
36 
37 
38 

39 
ifimL 01234 56789 



1 547 1 1 607 

2j53<a3l3 

3756t3Sr7 
336 [3431 
3965403& 

4570 463(> 
5i-t4!53 35 
57-^05339^ 
6383,6443 55o4 
69fl7[7<^47 7'o8 

7591 765i 77 [3 

8195^8355 83 16 

8799"""- 

94*J3 

•006 

o6ro 

[3[3 

[817 
34^f^ 
3o23 

3627 
423o 
4833 
5436 
6o38 

664i 
7244 
7847 
8449 
905 1 

9654 
o25663i6 



977498359895 



o377 

X 

2i63 

2785 
3387 
3988 
4590 
5192 

5793 



04370497 
1039 
i64i 
2243 



6996 

7597 
8198 



8679873987998859 



9400 
♦001 
0602 

I203 



2845 
3447 

4o48 
465o 

5252 

5853 
6455 
7o56 
7657 
8258 



9460 
0061 
0662 
1263 



i8o3i863 
2404 2464 
3oo5|3o65 
36o5 3665 
42054265 



1099 
1701 
23o3 

2905 
35o7 
4109 
4710 
53i2 



4685 4746 48o6l4866 
5286 5346 5406 5466 
5886 5946 6006 6066 
6486 6546 6606 6666 6726 
7086 7146I7206 7266*^326 



?t3 
i5 
7116 
7717 
83i8 

8019 
9520 
0121 
0722 
i323 

1924 
2524 
3i25 
3725 
4325 

4926 
5526 
6126 



60 



Diir. 



DiK k. Malt 



I 


61 


a 


jai 


3 


iS3 


4 


344 


5 


3<»5 


6 


366 


7 


417 


8 


4«8 


9 


549 



60 

t20 

t8o 
a4o 
3oo 
36o 
420 
4Bo 
54o 



Diir.atMoit. 



106 


LOGARITHMS OF NUMBERS. 1 


Nam. 

7340 


01234 56789 


DifH 


DimibMolL 


8597386 


7446 


75o6 


7566 


7626 


7686 


7746 


7806 


7866 


7925 
85a5 






4i 


XI 


8045 


8io5 


8i65 


8aa5 


8a85 


8345 


84o5 


8465 






42 


8645 


8705 


8765 


88a5 


8885 


8q45 
9545 


9fK)5 


9065 


91 a5 






43 


9185 


9245 


93o5 


9365 


9425 


9485 


9605 


9665 


9724 






M' 


. • 9784 


9844 


9904 


9964 


♦oa4 


0084 


oi44 


oao4 


oa64 


o3a4 






45 


86oq384 


0444 


o5o4 


o564 


o6a4 


0684 


0744 


o8o3 


o863 


ITA 






46 


oo83 
i583 


1043 


iio3 


ii63 


iaa3 


ia83 


1343 


i4o3 


i463 






47 


1643 


1702 


176a 


i8aa 


1882 


i?i: 


200a 


ao6a 


aiaa 






48 


aiSa 


aa4a 


a3o2 


a36a 


a4aa 


a48i 


a6oi 


2661 


a7ai 






49 


3781 


a84i 


a90i 


a96i 


3oai 


3o8i 


3i4o 


3aoo 


3260 


3320 






72 5o 


338o 


3440 


35oo 


356o 


36ao 


368o 


433? 
4937 
5536 


4l^ 


3859 

4458 
5o5t 


5ii7 




I 


60 


5i 
5a 


n 


4o3o 
4638 


4099 
4^ 


4159 
4758 


4ai9 
4817 


4a79 
4877 




2 

3 


lao 
180 


53 


5l77 


5a37 


5a97 


5356 


5416 


5476 


5656 


5716 




4 


240 


54 


5776 


5835 


5895 


5955 


6oi5 


6075 


6i35 


6195 


6254 


63i4 




5 


3oo 


55 


6374 


6434 


6494 


6554 


6614 


6673 


6733 


6793 


6853 


6913 




6 


36o 
420 
480 
540 


56 


X 


7033 


709a 


7i52 


7aia 


7a72 


733a 


7392 


745a 


tSu 




7 
8 


57 


763 1 


8a8o 


775i 


781 1 


7870 


7930 


else 


8o5o 


8110 




58 


8170 


8aa9 
88ad 


8349 


8409 


8469 


8529 


8648 


8708 




? 


59 


8768 


8947 


9007 


9067 


9127 


9187 


9^47 


9306 






7260 


9366 


94a6 


9486 


9546 


9605 


9665 


9725 


9785 


9845 


^ 






61 


861 ^a 


♦oa4 


0084 


0144 


oao4 


0263 


o323 


o383 


0443 






6a 


06a 2 


068a 


074a 


080a 


0861 


0021 


098] 
1579 


io4i 


IIOI 






63 


1 160 


laao 


1780 


1 340 


i4oo 


1459 


15^19 


1639 


;5p 






64 


1758 


1818 


1878 


1938 


'997 


2057 


aii7 


2177 


aa3? 






65 


a356 


a4i6 


2476 


a536 


2595 


a655 


2715 


2775 


a834 


2894 






66 


3954 
355a 


3oi4 


3073 


3i33 


3193 


3253 


33i3 


3372 


3432 


3492 
4089 






67 


36ii 


3671 


373 1 


3791 
4388 


385o 


3910 
45o8 


3970 

4567 


4o3o 






68 


4149 


4209 
4806 


4269 
4866 


4328 


4448 


4627 


4687 






69 


4747 


4926 


4986 


5o45 


5io5 


5i65 


5aa5 


5a84 






7270 


5344 


5404 


5464 


55a3 


5583 


5643 


5703 


5762 


58aa 


588a 






71 


71 36 


6001 


6061 


6iai 


6180 


6240 


63oo 


636c) 


64i? 
7016 
7614 


647? 
7076 

7673 






?3 


6598 
7196 


6658 
7a55 


6718 
73i5 


6778 

7375 


6837 
7434 


6897 
7494 


6957 
7554 






74 


7733 


7793 


785a 


791a 


7972 


8o3i 


8091 


8i5i 


8aii 


8a70 






75 


833o 


8300 


8449 
9046 


85o9 


8569 
9166 


86a8 


8688 


8748 


8808 


8867 






76 


8oa7 
• 95a4 


8987 


9106 


9aa5 


9a85 


9345 


9404 


9464 






^ 


9583 


9643 


97o3 


9762 


98aa 


9882 


^3^ 


♦001 


0061 






86aoiai 


0180 


0240 


o3oo 


0359 


0419 


0479 
1075 


0598 


o658 






79 


0717 


0777 


o837 


0896 


0956 


1016 


ii35 


1194 


ia54 






7a 80 


i3i4 


i373 


1433 


iS 


1 55a 


i6ia 


1672 


i73i 


1791 


i85i 






81 
8a 


1910 
a5o7 


1070 
a566 


2o3o 
26a6 


2149 
2745 


2209 
a8o5 


2268 
2865 


2328 
2924 
3520 


2367 
2?84 
358o 


^l 




I 


.^ 


83 


3io3 


3i63 


3222 


3a82 


3342 


3401 


346i 


36^ 




2 
3 
4 


110 


84 


3699 


3759 


3819 


3878 


3938 


3997 


4057 


4117 


4176 


4236 




177 
a36 


85 


4a96 


4355 


44i5 


4474 


4534 


4594 


4653 


47^3 


4772 


483a 




5 


3^ 


86 


48o9 
5488 


4951 


5oii 


5070 


5i3o 


57^6 


5249 
5845 


i! 


5368 


54a8 




6 


27 


5547 


5607 


5666 


5726 


6?6o 


6oa4 




7 


4i3 


88 


6084 


6i43 


6203 


6262 


632a 


638a 


644i 


66ao 




8 


472 


89 
7a 90 


6680 
7275 


6739 
7335 


6799 
7394 


6858 
7454 


6918 
75i4 


6977 
7573 


7037 
7633 


7097 

7692 
Safe 


7156 

775a 


7216 
781 1 




9 


53i 




91 


7871 


7931 
85a6 


l^ 


8o5o 


8109 
8705 


8169 


8aa8 


8347 


84o7 






9J 


8467 


8645 


8764 


88a4 


8883 8943 
947919539 


9003 






9^ 


?2f2 


9iaa 


9181 


92^1 


9300 


9360 


9419 
♦01 5 


9598 






94 


• 9658 


9717 


9777 


9836 


9896 


9955 


0074 


oi34 


0193 






21 


863oa53 


o3ia 


037a 


o43a 


0491 
1086 
i68a 


o55i 


0610 


0670 


0729 


0789 






96 
9Z 


o848 
1443 


1^3 


?l^ 


ioa7 
i6aa 


ii46 
1741 


iao5 
1801 


ia65 
i860 


i3a4 
i9ao 
a5i5 


1382 






98 


ao39 


ao98 


ai58 


aai7 


2277 


2336 


2396 


2455 


2574 






99 

Kam. 


2634 


a693 


a753 


a8i2 


a872 


293. 


a99i 


3o5o 


3iio 


3169 






01234 56789 


Dur. 


DimfrMoh. 



LOGARITHMS OF N U M B S H S . 



lOS 



hnn. 12 3 4 



1300 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 

09 

73 10 

II 

13 

i3 

III 

i5 
16 

»7 
18 

«9 

7320 

21 

22 

23 

24 

25 

26 

a? 
28 
29 

73 3o 
3i 

32 

33 

34 

35 
36 
37 
38 
39 

7340 
4i 
42 
43 

45 
46 
47 
48 
49 

73 5o 
5i 

52 

53 
54 

55 
56 
57 
58 

59 

Nam. 



5 6 7 8 9 




3288 
3883 
4478 
5072 
5667 

6262 
6856 
745 
8045 



86398698 



9174 

• 9768 

864o362 

0956 

i55o 

2143 
2737 
333i 
3924 
4517 
5iii 
5704 
6297 
689(j 
7483 

8076 



8i36 
86698728 



926a 

« 0855 

865 0447 

io4o 
i632 

2225 
2817 
3409 

4ooi 
45o3 
5i85 

5777 
6369 

6961 
7552 
8144 
8735 
9327 

1 100 
1601 
2282 

2873 

3464 
4o55 
4646 



52365295 



5827 



7008 
75o8 
8188 



3348 
3o42 
4537 
5i32 

5727 

6321 
16 

7510 
8104 



92( 

/ 7 
o48i 
1075 
1668 

2262 
2856 
344o 
4043 
4636 

5229 
5823 
64i6 
7009 
7602 



9321 

o5o6 

J099 

2284 
2876 
3468 

4o6o 
4652 
5244 
5836 
6428 

7020 
7611 
8203 
8794 
9386 

oC 
1160 
1751 
2342 

2932 
3523 
4ii4 
4705 



o5o9o568 



5886 



>5q45 

6417^766535 

"^7126 



7067 
7657 
8247 



3407 

40U2 

4597 

5101 
5786 

638i 

6075 
7569 
8164 
8758 

9352 



ii34 
1728 

2321 

015 
509 

4l02 

4695 

5289 
5882 
6475 
7068 
7661 



8195 

8788 
9880 

o?66 

ii58 
1751 
2343 
2935 
3527 

4l20 

4712 
53o4 
5895 
6487 

7079 
7671 
8262 
8854 
9445 

♦o36 
0627 
1219 
1810 
2401 

im 
4173 
4764 
5354 



83o6 



8254 
8847 
9440 
♦082 
0625 

1217 
1810 
2402 

4179 
4771 
5363 
5955 
6546 

7t38 
773o 
8321 
8913 
95o4 

0095 
0687 
1278 
1869 
2460 

3o5i 
3641 

4232 

4823 
54i3 

6004 
65q4 
7i85 



77167775 



8365 



3467 
4061 
4656 
525i 
5845 

644o 
7034 
7629 
8223 
8817 

941 1 
♦oo5 
0590 
iio3 
1787 
238i 
2974 
3568 
4i6i 
4755 

5348 
5941 
6534 
7128 
7721 

83i3 
8906 
9499 

X>92 

0684 

1277 
1869 
2461 
3o54 
3646 

4238 
483o 
5422 
6oi4 
6606 

7197 
7789 
838o 

807a 
9563 

oi55 
0746 
i337 
1928 
2319 

3iio 
3701 
4291 
4883 
5472 

6o63 
6653 
7244 
7834 
8424 



l586 
4i8o 

4775 
5370 
5964 

6559 
7i53 
7748 
8342 



893689969055 



9530 
0124 
0718 

l3l2 

1906 

25oo 

3093 

3687 
4280 
4873 

5467 



6060 61 19 



6653 
7246 



3645 
4240 
4835 
5429 
6024 

6618 
7213 
7807 
84oi 



0184 
0778 
1871 
1965 

2559 
3r52 
3746 
4339 
4933 

5526 



6712 
73o5 



7889 7898 

84q 

9084 

9677 

0269 

0862 



73i6 
7907 
8499 



0273 
0864 
1455 
2046 
2637 

3228 



38193878 
435044094468 



5ooo 
5591 

6181 
6771 
7362 
7052 
8542 



3705 
4299 
4894 
5480 
6o83 

6678 
7272 
7867 
8461 



024^ 
0837 
i43i 
2025 

2618 

3212 

38o5 
4399 
4992 
5585 



1454 

3o47 

2639 

323 

3824 

4416 
5oo8 
56oo 
6191 
6724 6783 



7375 
7966 
8558 
9149 
9741 

o332 
0923 
i5i4 
2io5 

2696 
3287 



5o59 
565o 

6240 
683o 
7421 
801 1 
8601 



3764 
4359 
4?54 
5548 
6143 

6737 
7332 
7926 
8520 
9114 



o3o2 
0896 
1490 
2084 

2678 
3271 
3865 
4458 
5o5i 

5645 



61796288 



6772 
7365 
7958 

855i 
9*43 
9786 
'69 0829 
0921 

i5i4 
2106 



829 
3888 

4475 

5067 

5659 

625 

6842 

7434 
8025 
8617 
9208 



683 1 
7424 
8017 

8610 
9208 
9795 
o388 
0980 

1573 
2i65 
2758 
885o 
8942 

4534 
5126 
5718 
63 10 
6901 

74q3 
8o85 
8676 
9268 



98009859 

o45o 
To4i 
1682 
2228 
2814 

34o5 



5i77 
5768 

6358 

^^ 

8129 
8719 



01284 56789 Dim 



DiiT. 



Diir.«cMult 



60 

120 
180 
240 
3oo 
36o 
420 
480 
540 



177 
236 

3?4 
4i3 
47a 
53i 



DiffllfcMai 



110 


LOGASITHMS OF |fU>fB£S3. [ 


Nam. 
T360 


01234 56789| 


Dim 


DiCfcMah. 


886 8778 


8837 


8896 
9486 


8955 
9545 
oi35 


9014 


9073 


9132 


9101 
9781 


9a 5o 


9309 


59 




6i 


9368 


9427 


9604 


9663 


9722 


9840 


^ 




6a 


867 S48 


♦017 


0076 


0194 
0784 


oa53 


o3i2 


0371 


o43o 






63 


0607 


0666 


0725 


0843 


0902 


rfs\ 


1020 


1079 






64 


ii38 


1197 


1256 


i3i5 


1 374 


1433 


1492 


1610 


1669 






65 


1738 


1786 


1845 


1904 


1963 


aoaa 


2081 


2i4o 


2109 


2258 






66 


a3i7 


2376 


2435 


24o4 
3064 


2553 


a6ia 


2671 


2730 


2780 


2848 






67 


2907 


3?^ 


3o25 


3i4a 


3aoi 


3260 


3319 


3378 


3437 






68 


3496 


36i4 


3673 


373a 


3701 
438o 


385o 


3909 


4?57 


4027 






69 


4086 


4i45 


42o3 


4262 


43a I 


4439 


4498 


46i6 






7370 


4675 


4734 


47?3 
5382 


4852 


4911 


n^^ 


5028 


5087 


5i46 


52o5 




I 


% 


71 


5264 


5323 


5441 


55oo 


56i8 


5677 


5735 


5704 
6383 




1 


116 


72 


5853 


6?ii 


6^6^ 


6o3o 


6089 
6678 


6i48 


6207 


6266 


6325 




3 


177 


73 


6442 


6610 
7208 


6737 


% 


6855 


%i 


%\ 




4 


a36 


74 


7o3i 


7090 


7«49 


7267 


7326 


7444 




5 


4i3 

47a 


s 


7620 
8209 


7679 

8268 


7738 
b327 


7797 
8386 


7856 
8445 


Kl 


7974 
8562 


8o32 
8621 


8091 
8680 


8i5o 
8739 
9328 




6 

I 


77 


8798 


8857 


8916 


8q74 


9033 


0269 


9i5i 


9210 


9269 




78 
79 


9387 

• 9975 


9445 
♦o34 


9504 
0093 


9563 

Ol52 


962a 
oaii 


9740 
o328 


V^, 


9857 
CX446 


Zt 




9 


J J* 




7880 
81 


868o564 

Il52 


0622 
laii 


0681 

1270 


0740 

1329 


?3^?? 


o858 
1446 


%l 


X 


io34 
1623 


'X 






8a 


1740 


'M 


i858 


IOI7 


;??^ 


ao35 


2093 
2682 


2l52 


221 1 


2270 






83 


a329 


2446 


2D05 


a623 


2740 


3^ 


2858 






84 


2917 


2976 


3o35 


3093 


3i5a 


3aii 


3270 


3329 


3446 






85 


35o5 


3564 


3623 


368i 


3740 


lir. 


3858 


45o5 


4563 


4o34 






86 


X 


4i52 


4211 


4269 


43a8 


4446 


462a 






87 


4740 


iiu 


4857 


4qi6 
55o4 


^l 


5o34 


^ 


5i5i 


52IO 






88 


5a69 


5328 


5445 


5622 


5739 


5798 
6386 






89 


5857 


5915 


5974 


6o33 


609a 


6i5i 


6209 


6268 


6327 






7390 
91 


6444 
7o32 


65o3 
7091 


6562 
7i5o 


6621 
7208 


6679 

7267 


6738 
7326 


% 


6856 
7443 


601 5 
75oa 


%1 






9a 


7620 


7678 


7737 


83^ 


7855 


7913 


7972 
856o 


8o3i 


8090 


8i48 






93 


8207 


8266 


8325 


844a 


85oi 


8618 


8677 


8736 






94 


8794 


8853 


8912 


8971 


9029 


9088 


9»47 


9206 


9264 


93a3 






?! 


9382 


9441 


^ 


9558 


9617 


9675 


9734 


^ 


985a 


9910 






96 


869 S5I 


♦oa8 


0145 


0204 


0263 


o32i 


o43o 


o407 
io85 






97 


o6i5 


0674 


0732 


0791 


o85o 


0908 


r^ 


loao 






98 


1143 


laoa 


1 261 


i3io 
1900 


1378 


1437 


1495 

208a 


i6i3 


167a 






99 


1730 


1789 


i848 


1965 


aoa4 


ai4i 


aaoo 


aa59 






7400 


a3i7 


2376 


2435 


24o3 
3o8o 
3667 


255a 


a6ii 


a669 


a7a8 


2787 


a845 






01 
oa 


3904 
3491 


4i36 


302l 

36o8 


^5 


3io7 
3784 


3a56 
3843 


33i5 
3901 


3373 
3o6o 


343a 
4019 




I 


58 

itG 
174 

353 


o3 


4077 


4iq5 
4781 


4253 


43ia 


4371 


44aQ 
5oi6 


4488 


4547 


46o5 




a 
3 
4 


04 


4664 


4723 


484o 


4899 


4957 


5075 


5i33 


519a 




o5 


525i 


5309 


5368 


5427 


5485 


5544 


56o3 


566i 


5720 


5778 




5 


390 


06 


5837 




5954 
654 1 


6oi3 


607a 


6i3o 


6189 
6775 


6a48 


63o6 


6365 




6 


348 


®z 


6423 


648 2 


^^ 


6658 


6717 


6834 


6892 


% 




7 


4o6 


08 


7010 


7068 


7127 


7244 


73o3 


736i 


7420 


7479 
8o65 

865i 




8 


464 


09 

7410 


7596 
8182 


7655 
8a4i 


7713 
8885 


7772 
8358 


783o 
84i7 


7889 
8475 


7948 
8534 


8006 
859a 


8ia3 
8710 




, 9^ 


5aa 






II 


8768 


8827 


8944 
9530 


9003 


9061 


91 ao 


9178 


9237 


9296 






la 


9354 


94i3 


9471 


9588 


9647 


9706 


9764 


98a3 








i3 


870 o5a6 


T4 


♦o57 


01 16 


0174 


0233 


oa9a 


o35o 


0409 


0467 






i4 


0643 


070a 


0760 


0819 


0877 


0936 


0994 


io53 






i5 


Ilia 


1 170 


iaa9 


ia87 


i346 


i4o4 


1463 


i5aa 


i58o 


1639 






16 


1607 
aa83 


1756 


1814 


1873 


1931 


\^ 


2049 


2107 


ai66 


aaa4 






17 


234i 


a4oo 


a458 


25l7 


a634 


2693 


a75i 


a8io 






18 


a868 


itv. 


^?^? 


3o44 


3ioa 


3i6i 


3aao 


3278 


3337 


^ 






«9 
Num. 


3454 


36a9 


3688 


3746 


38o5 


3863 


3922 


Diff. 




01234 56789 


DurifciuiL 



LOGARITHMS OF NITMBERS* 



111 



Norn. 

T430 

ai 

a3 

24 
25 

26 
27 
28 
29 

7430 
3i 
3a 
33 

34 

35 
36 

37 
38 
39 

7446 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 
74 5o 
5i 
5a 
53 
54 

55 
56 
57 
58 

59 
7460 
61 
6a 
63 
64 

65 
66 

67 
68 
69 

7470 
71 
72 
73 
74 

75 
76 
77 
78 
79 



12 3 4 



5 6 7 8 9 



870 40391 
46a4 
5aio 
57Q5 
638o 

6965 



4098 
4683 
5268 
5853 
6438 

70a3 



75497608 



8i34 
8719 



8193 

8777 



93049362 

47 
o53i 
iii5 
1700 
2a84 

a868 
3452 
4o36 



• 

871 0473 
1057 
i64i 
2226 

2810 
3394 
3978 
4562 
5i46 



5729 
63i3 



7- 
8064 

8647 



52o4 

5788 
6371 
' i55 
7539 
8122 

8705 



9230 9289 9347 94o5 



• 9814 

8720307 

0980 

i563 
2i46 
2728 
33ii 



3894395 

44764535 

117 

5700 

628a 



50595 
564i' 
6a a4 



7388 
7970 
8552 



• 97169774 



873 oao8 
0880 
1462 
2043 
2625 

3ao6 

3787 



4950 
553i 

6iia 



5oo8 
5589 

6170 
66936751 



7274 
7855 
8435 



i56 
474i 
53a7 
591a 
6497 
708a 



7000 

8a5i 
8836 
94a I 

♦oo5 
oJ 

1 174 
1758 
a34a 

7Q77 

35ii 



4095 



46ao 4679 4737 



5a6a 

5846 5904 
643o - ^-^ 
701 3 

7597 
8180 

8764 



9872 
0455 
io38 

i6ai 
aao4 
2787 
3369 



680668646933 



7446 
8039 
861 1 



913491939351 



o356 



1330 
3I0I 

3683 

3a64 
3845 



4369 44a7 



7333 
7913 
8493 



4ai5 
4800 
5385 
5970 
6555 

7140 
7725 
83io 
8894 
9479 
oo63 



5890648 



o5i3 
1096 

1679 
3363 
3845 
3438 
4010 



4273 
4858 
5444 
6039 
6614 

?;s 

8368 
8953 
9^37 

0133 
0706 
1 391 
1875 
2459 

3o43 
3637 
421 1 
4795 
5379 

5963 
6546 
7i3o 
7714 
83398397 

8880 
9464 
♦047 
o63o 

I3l3 



8833 



4593465 



75o5 



80398087 



9833 
o4i4 



09380996 
i530 1578 



78 
ai59 
2741 

3333 

3904 
4485 
5o66 
5647 
6338 



7390 
7971 
855i 



3 
55 

1738 

3330 
3903 
3486 



51755334 

5758" " 
634o 



58i6 
6398 
69S1 

7563 
8145 



86698727 



9309 
9891 

0473 
io54 
i636 
3318 
2799 
338o 
3962 
4543 
5ia4 
5705 

6286 



68096867 



7448 
8029 
8610 



1796 
2379 
3963 
3544 
40694137 



4709 
5393 
5874 
6457 
7039 

7631 
83o3 
8785 
9367 
9949 
o53i 
iii3 
1694 
3376 
3857 

3439 

4030 

4601 
5i83 
5763 

6344 
6935 
7506 
8087 
8668 



4333 

4917 
55o3 
6087 
6673 

7257 
7842 
8427 
9011 



4975 
556 
6i46 
6731 

7316 
7900 
8485 
9070 



95969654 
0180 



0765 

^349 
1933 
35i8 

3l03 

3686 



0339 
0833 
i4o8 
1992 

3: 

3i6o 
3744 



4370 4338 



4854 
5437 

603 1 
66o5 
7188 
7772 
8355 

8939 
953 a 
oio5 
0688 
1371 

i854 
2437 

3030 

36o3 
4i85 

4768 
535o 
5933 
65i5 
7097 

7679 
8a6 
8843 
94a5 

♦007 



4912 
5496 



6o8o6i38 
6733 
73o5 
7889 
8472 



6663 

7347 
783o 
84i4 



1171 
1753 
3334 
3915 

3497 
4078 



5340 
5831 

64o3 
6983 
7564 
8145 



43904449 



5o34 
5619 
6304 



678968486906 



7374 
7059 
8544 
9138 
9713 

0397 
0883 
i466 
3o5o 
3634 

331 



J319 
38o3 
4387 
1970 
.554 



01 63 
0747 
i33o 

1913 

2495 
3078 
366i 
4243 



5408 

in 

7i55 

7738 
8330 
8902 
9484 
oo65 



0589 °647 



1339 
1810 
3393 
2973 

3555 
4i36 



46594717 



5398 
588o 

646i 
7o4i 
7633 
8ao3 



8736 8784 



9055 
9639 

0333 

o8o5 
t388 

1971 
3554 
3i36 
3719 
43oa 



8378 
8960 
954a 
0134 

0705 
1387 
1869 
345o 
3o33 

36i3 
4194 

4775 
5357 
5938 



65i 

7100 

7680 

8361 

8843 



4507 
5093 
5678 
6363 



7432 
8017 
8602 



7491 
8076 
8660 



9187 9245 



9771 

o356 
0940 
1524 
2109 
2693 

3277 

386: 

4445 
5029 
56i3 

6106 
6780 
7363 

794? 
853o 

9114 
9697 
0280 
o863 
i446 

2029 
2619 

3.95 

3777 
436o 

4942 
5467 5535 
60496107 
663i -"• 
7214 



77967854 



96577 
7i58 
7738 
83i9 
8900 



4566 
5i5i 
5736 
6331 



9830 
o4i4 

m 

3167 
3751 

3335 

5087 
5671 

6355 

6838 
7433 
8oo5 
8589 

9173 
9755 
o338 
0931 
i5o4 

2087 
2670 
3253 
3836 
44i8 

5ooi 

5583 

6166 

66906748 

7272 



733o 

7912 
S494 
9076 



8436 
9018 

96009658 
0182 



0240 

0833 
i4o3 

3i48 

3729 
43ii 
4892 
5473 



0764 
i345 
1027 
25o8 
3090 

3671 
425a 
4834 
54i5 
59966054 



6635 
7316 

7797 
8377 
8958 



1234 66789 



Diff-. 



DiflT. 



DifT. «c Molt. 



I 


^ 


2 


116 


3 


r77 


4 


a36 


5 


in 


6 


7 


4i3 


8 


47a 


9 


53t 



58 
n6 
174 

232 
^90 

348 
406 
464 
52 a 



Diff. 4t Molt 



112 



LOGAEIITHMS 0F HUKIERS, 



Nora. 

T480 

8i 
8a 
83 
84 

85 
86 

87 
88 
89 

7490 
91 
9a 

93 
94 

% 

99 

7500 
01 
oa 
o3 
o4 

o5 
06 

07 
08 

09 
75 10 
II 
la 
i3 
14 

i5 
16 

17 
18 

'9 
75 ao 
at 
aa 
a3 
a4 

a5 
a6 

27 

aS 
^9 

75 3o 
3i 
3a 
33 
M 

35 
36 
3? 
38 
39 



12 3 4 



5 6 7 8 9 



873 9016 9074 9132I9190 9a48 

• 9597 9^55 97i3|977i 9829 

874 0177 oa35 oa93|035i 0409 
0757 08 1 5 0874 093a 0990 
i338 13961454151a 1570 

1918 1976 ao34 ao9a ai5o 
a498 ^556 a6i4 3672 2730 
3078 3i36 3194 3a53 33io 
3658 3716 3774 383a 3890 
4^384396 4354441a 4470 

48x8 4876 4934 4992 5o5o 
5398 5456 55 1 4 5572 5630 
5978 6o36 6094 61 5a 6aio 
65576615667367316789 
7137 7195 7a53 73i I 7369 

77167774783278907948 
8a96 8354 84ia847o85a8 
8875 8933 8991 9049 9107 
9454 95 1 a 9570 9628 9686 

875 oo34 0091 0149 °^*^ ^'^5 

061 3 0671 072807860844 
119a ia5oi3o7i365 i423 
I77> i8a8 1886 1944 200a 
a349 2407 2465 2523 258 1 
2928 2986 3o44 3ioa 3i6o 

35o7 3565 3623 368i 3738 
40864143 4201 42594317 
4664 4722 4780 4838 4896 
52435300 5358 5416 5474 
58a 1 5879 5937 5995 6o5a 

6399 6457651 5 6573 6631 
6970 7o35 7093 71 5 1 7209 
7556 7614 7671 7729 7787 
81348192824983078365 
87128770882888858943 

9290 9348 94o5 9463 9521 

• 986899259983 ♦o4i 0099 

876 0446 o5o3 o56i 0619 0677 
I023 1081 1139 1197 1254 
1601 165917161774 i83a 

2178 2236 2294 2352 2409 
2756 28 1 4 2871 2929 2987 
3333 3391 3449 3^06 3564 
391 1 3968 4026 4084 4142 
448845464603 4661 4719 
5o65 5i23 5i8o 5238 5396 
5642 5700 5758 58 1 5 5873 

62 19 fia-r-7 fi33«i fil92 645o 

677^1 '■•■"' , 'v /'■y7oi7 

737^ -:\'\\ -.i>i.S -■> i'i|76o4 

79^i> BfHi-^ H^i(VV!^Tal8i8o 
8526,ajS4 86^1, 8699 '8757 
91 1)3 916 r 193 1 8192 76^9334 

• 9680 9737- 9795^9853. 99[o 
B77 0356 a3i4 oiy I 0439*0487 



>4S'ioo5liofi3 
582 1639 



0833.0890 
[409 i4n7 
1085 2043 
a56ik6i9 
3[37i3i95 

012a 4 



1 5^4,1 ^-- 
^ioo:ar58 

2677] 2 734 



3253J33ioJ3368 



2216 
3792 



93069364 
9887 - 
0467 
io48 
i6a8 



aao8 
3788 
3368 
3948 
45a8 

5!o8 
5688 
6a68 
6847 

7427 

8006 
8585 
9165 
9744 
o3a3 

090a 
i48i 
ao6o 
2639 
3ai8 

3796 
4375 
4953 
5532 
61 10 



45864644 

5166 
5746 
6325 



7267 
7845 
8423 
9001 

9579 
01 57 
0734 
i3ia 
1890 

2467 
3o45 
36a2 

4776 

5354 
5931 
65o8 
706 > 
766J 

Sa38 
881 5 
9391 
9j6S 
o544, 

tI2l 

1697 
5273 

^849 
34251 



0525 
1106 
1686 

aa66 
2846 
34a6 
4006 



9422 
♦00 3 
o583 
1164 
1744 

a3a4 
2904 
3484 
4o64 



6905 
7485 

8064 
8643 
9323 
980a 
o38i 

0960 
i53o 
aii8 
2697 
3275 

3854 
4433 
5oii 
5590 
6168 



5224 

58o4 
6383 
6963 
7^43 

8iaa 
8701 
9a8i 
9860 



04390497 
1018 

2176 



7325 
7903 
848i 
9059 

9637 
0214 
0792 
1370 
1947 
25a5 

3l02 

368o 
4257 
4834 

54ii 
5988 

" r i ^ 
7719 
8296 
8872 
9449 
•020 
060a 

1178 

333 1 

907 

3483 



9480 
0061 
o64i 
laaa 
180a 

a38a 
a96a 

354a 
4iaa 
470a 

5a8a 
586a 
644i 
7021 
7600 

8180 



87598817 
93309396 
99189976 



2755 
3333 

3912 
4491 
5069 
5648 
6a a6 



6689 6746 6804 686a 6930 



9538 
0119 



i860 

a44o 
3oao 
36oo 
4i8o 
4760 

5340 
5900 
6499 
7079 
7658 

8a38 



8018 



85968654 



9174 

975a 
o33o 
0908 
i485 
ao63 



738a 
7960 
8539 
91 16 

9694 

0372 
o85o 
1428 
aoo5 

2583 
3i6o 
3737 
43i5 
489a 

5469 
6o46 

7 J:i ?i I- 

7777 
8353 

9^07 

oo83|Oi4r 
07»7 



a64o 
3ai8 
3795 
4372 
4950 

5527 
6104 
fi6«i 



8988 
9S154 



o555 

ii34 
1713 
a 393 
a870 
3449 
4oa8 
46o6 
5i85 
5763 



1076 
i655 
aa34 
2813 
3391 

3970 
4548 
5ia7 
5705 
6a84634a 



7440 7498 



8076 



9a3a 

9810 
o388 
0965 
1 543 
aiai 



ra36 

tBl2 

2388 
396"') 
354 J 



3698 
3a76 
3853 
443o 
5007 

5584 
6161 

7834 789a 

84 1 1 8469 
9045 
9622 
0199 
0775 

t35i 
loaS 
35a4 
3o8o 
3656 



139.4 
[S70 
3445 
3oa3 
3598 



5 6 7 8 9 



Dur. 



50 



DiflllbMalL 



I 


sa 


a 


i]6 


3 


174 


4 


33a 


5 


7^y 


6 


348 


7 


4o6 


8 


454 


9 


5a? 



DiC Diffl It Unix. 



LOGARITHMS OF RTTMBERS. 



113 



Nan. 

4i 

42 

43 
44 

45 
46 
47 
48 
49 
75 5o 
5i 

53 

53 

54 

55 
56 

57 
58 

59 
75 6o 
6i 
6a 
63 
64 

65 
66 
67 
68 

69 

7570 
71 
72 
73 
74 

75 
76 
77 
78 
79 
7580 
81 
8a 
83 
84 

85 
86 
87 
88 

89 

7590 

9» 

98 
99 



1 

8TT37i3|377r 

42894347 
4865 4923 



234 56789 



5499 5556;56i4 
6074 6i3a 61896347 



665067086765 



8894 B952 



7283734 
785917916 
8434:8493 
90099067 



9470 9537 9585 9643 9700 



0I03 

0677 

1837 
a46a 



3919 a< 



3494 
4069 
4643 

5ai8 
5792 
6367 
6941 
75i5 

8089 

8663 

9337 

• 9811 

8790385 

^? 

2106 
a68o 
3353 



»977 
i553 
4i36 
4701 

5375 
585o 
64a4 



0443 



3836 3884 
44004457 
4973 5o3o 
5546 56o3 
6119 

6693 
7365 
7838 
84ii 
8983 



733a 
7895 
8468 
9041 

95569613 



5333 
5907 
6483 
7«56 
76307687 



lOI 

1590 
3i63 

2737 
33io 



2475 
3o47 
3619 
4191 
4763 

5335 
5907 
6478 



25i7 
3093 
3667 
4341 



6 1074 



738o 
795a 
8535 



1860343 
o8i5 
i388 



3532 

3io4 
3676 
4248 
4820 



4816487: 

5448 
602 a 
6596 
7171 
7745 



617663346391 
6749680768646931 



7437 
80T0 
8583 



90989155 



9670 9738 9785 



o3oo 
0873 
1445 
19603017 



12 5449 

5g64,6o3i 

65366593 

|7o5o 7107I7164 



767977367793 



68a3 
7398 
7974 
8549 
9"4 



0375 
o85o 
i4a5 

3000 
3575 

3i49 
3724 

48?! 



83i9 
889! 
9467 
♦o4i 
o6i5 

1 188 
1762 
3335 
3909 
3483 

4o56 
4629 
52oa 
5775 
6348 



74q4 
80&7 
864o 
921a 



2647 
3319 



2589 
3162 
3734 
43o6 
48774935 



5507 
6078 
665o 

7333 



4ooi]4o59|. 

457714635. 
5i53|53ii 
57395787 
63o5,d363 



4117 
46o3 
5368 
5844 



6430,6477 



6880! 
7456 
8o3i 
8607 
918a 



8089 
8664873a 



9339 

97579815 

o333 

0907 

i483 

2057 

a633 

3307 
3783 
4356 
493 

55o5 
6080 



38393896 
4471 
5o46 



44i4 



6654 671 1 
7338 



780a 



56ao 
6194 
6760 
72867345 
7917 



7860 



83768434 



8950 
9524 



9005 

96309696 

03 1 3 0370 

0739 0787 0844 



9008 
9583 



00980156 
067a 



5359 
5833 
64o6 

%', 

8134 
8697 
9370 

9843 
o4i5 
0987 
1559 

3X33 
3704 



3848 
4430 
499a 

5564 
6i35 
6707 

7279 
785o 



7571 . 
81468304 



9297 
9872 

0447 

I033 
1597 

3173 

2747 
3333 



i3o3 

1877 
245o 
3o34 
3597 



4xi3 
46864744 



53i7 
5890 
6463 

7o36 

7609 

818 

8754 

9327 

9899 

0472 
1044 
1617 
ai89 

2761 



33763333 



3905 

4477 
5o49 

5631 
6193 
6764 
7336 

7907 



7o53 
7638 



7110 

7686 

8a6i 

87798837 



9354 



o5o5 
1080 
i655 

3330 

a8o5 
3379 



3954 4oi I 



45ao- 
5io3 



i36o 
i?34 
35o8 
3o8i 



41704228 



6831 
73o3 
7964 



4174 
475o 
53a6 
5903 



94i3 

o563 
ii37 
1713 
3387 

3863 

3437 



4586 
5i6i 



5735 
63o9 
6884 
7458 
8o33 



i4i8 

I5 
3i38 
36543712 

4385 
4858 
543i 
6004 
6577 



4801 
5374 
5947 
6530 

7093 

7666 

83398: 

8811" 

9384944 

♦014 
390586 
1159 
1731 
33o3 

3875 
3448 



7i5o 
7723 
8396 
8869 
' I 



45o3 
5i63 

5678 5735 
635o63o7 



6879 
745o 
803a 



4233 

48o8 
5384 



5678 
6^53 
6836 
7400 
7975 

854q86o6 

91 3 J 9180 

' '9754 

o338 

0901 

1475 
3o49 
3633 
3196 
3769 

434a 
4916 
5489 
6063 
6635 

7308 
7781 
8353 
8936 
9499 
0071 
o644 

I3l6 

1788 
336i 

3933 
35o5 



4o3o 4077 



4649 

5331 
5792 

6364 
6936 
7507 
8079 



01234 56789 
15 



Diff. 



DifT. 



DiftfcMult. 



I 


58 


3 


116 


3 


174 


4 


333 


5 


290 


6 


348 


7 


406 


8 


464 


9 


533 



57 

ii4 
171 
338 
385 
343 

4^ 

5i3 



Diir.4tlfs1t 



114 



LOGAEITHKS OF NUKBEBS. 



0.. 12 3 4 



Ni 

7600 

oi 
oa 
o3 
o4 

o5 
o6 

07 
08 

7610 
II 
13 
i3 
14 

i5 
16 

17 
18 

19 
7620 
ai 
aa 
a3 
a4 

a5 
a6 

'2 

a8 
a9 

76 3o 
3i 
3a 
33 
34 

35 
36 

3? 
38 

39 

7640 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 

7650 
5i 
5a 
53 
54 

55 
56 
57 
58 

59 



880 8i36 8i93,8a5oi83o7 8364 

8707,8764 88aa 8879 8o36 

9379' 9336 93o3 9450 95o7 

• 9656 9907 9964 ♦oa I 0078 

881 o4ai 04780535 059a o65o 

099a 1049 1 106 ii63 laai 
i563 i6ao 1677 1735 179a 
ai34|ai9i aa48 33o5 a3o3 
a7o5la7oa 3819 3876 2933 
3a76j3333 3390 3447 35o4 

38471 3904 3961 4oi8 4075 
4417:4474 453i4588|4645 
4988!5o45 5ioa5i59 5ai6 
5558:5615567757395786 
6ia9l6i866a4363oo6357 

669916756 68 1 3 6870 6957 
77697326 7383 7440 7497 



5 6 7 8 9 



84aa 8479 
8ao39o5o 
90049631 
013601934 



5^8650 



8S36j6i 

91079164 

9679^9736 

oa5oo3o7 

083108780935 



Diff. 



INIKlbMalL 



7840 
84io 



7897 7954 801 1 8068 

8467 8524 858i 8638 

91 5 1 9ao8 



97a I 



9778 



8980190379094 

• 955096079664 
88a 01 ao 0177 oa34 oaoi o348 

0689 0746 o8o3 0800 091 7 
ia59i3i6 1373 i43o 1487 
1839 1886 1943 aooo 3o57 

3398 3455 35i3 3569 ^'^^ 
3968 3oa5 3o8a 3i39 3196 
3537 35o4 365i 37083765 
4107 4164 4a3i4a78 4335 
4676 4733 4790 4847 4904 
5a45 53o3 5359 54i6 5473 
58x5 5871 593659856043 
63846441 6497 6554 6611 
6953 7010 7066 7 1 23 7180 
75327578763576937749 

8090 8i47 83o4 836r 83i8 
86508716877388308887 
9338 9285 9343 9399 9455 

• 9797 9853 9910 9967 #034 

883 o365 o4aa 0479 «536 0593 

0934 0990 io47 I >o4 1 161 
i5oa i559 1616 1673 1730 
3070 3137 a 184 3341 3398 
a639 2605 2752 2809 ^®^ 
3ao7 3364 3330 3377 3434 

3775 3833 3889 3945 4oo3 
43434400445745134570 
4911 4968 5o24 5o8i5i38 
5479 5536 5593 5649 ^706 
60476103 6160 6317 6374 

66i4 6671 673867856641 
7] 83 7339 7296 7352 7409 
775o 7806 7863 7930 7977 
83i7 8374 843r 8487 8544 
88858941899890559113 

9453 9509 9565 963a 9679 

884 0019 0076 01 33 0189 0346 
o586;o643 0700 0757 081 3 

. ii54i I a 10 1367,1334 i38o 
I7ai!i777 i834 1891 1948 



a42o 3477 

3io53iD3 
3675 3733 

4i33UT894a4643o3 



47o3 
5373 
5844 
64i4 



3683 
3353 

3833 

43o3 
490 

553o 

66^^ 

7337 



1437 
3oo4 



4817 

5387 



7008 
7669 



83 8339 8296 
'53 8809 8866 
937994369493 



707 
3367 



79 3936 3993 
48 45o5 456a 



8375»433 
8944 



4627 
5195 
5763 
633o 

68986955 
7466 75a3 
8o33 
8601 



0937 

494 

3061 



558- 
6i56 

67356783 
7?94 



7806 7863 7930 7977 8o34 



90009057 
9^ 1 3 9569 9636 9683]974< 
0081 ot38 0195 o35i o3ol 
0649 ^^ ^^7^3 0630 0877 

I3l8 

1786 
3354 
3933 
3491 3548 

4o594ri 



195876 
63876444 



3385 334a 



5758 
3(6370 6337 



84898545866 



i388 
1957 

3D35 
3093 

366i 



734a394a86 



7013 7068 
75797636 
8147 8304 



8714 8771 
9383 



i445 

30l4 

358a 
3i5o 
>7i8 



93389395 



58 

116 
174 
a3a 
aoo 
348 
406 
464 
5aa 



I 


^ 


a 


"4 


3 


171 


4 


338 


5 


a85 


6 


34a 


7 
8 


^ 


9 


5i3 



01234 56789 Dur. 



DUr.lfcM«lL 



LOGARITHMS OF NUMBERS. 



115 



No.. 12 3 4 

7660 

6i 

63 

64 



5 6 7 8 9 



DUt 



DimatMuH. 



65 

66 

68 

69 

7670 

71 
7a 

73 
74 

75 
76 
77 
78 
79 
7680 
81 
8a 
83 
84 

85 

86 

87 
88 

89 

7690 

9' 

94 

9^ 

97 
98 

99 

7700 
01 
oa 
o3 
04 

o5 
06 

07 
08 

09 
7710 
II 
la 
i3 
i4 

i5 
16 

17 
18 

«9 

Nsm. 



884 2288 
a855 
34ai 
3988 
4555 

Siaa 
5688 
6a55 
68a I 

7387 

7954 
85ao 

90869143 
• 965a 
885oai8 



a344 
3911 
3478 
4a45 
461 a 

5178 
5745 
63ii 
6878 
7444 
8010 
8576 



0784 
i35o 
1915 
a48i 
3o47 
36ia 
4178 
4743 
53o8 
5874 

64396495 
70047000 



97^ 
0376 

o84o 

i4o6 

197a 

aS: 

3io3 

3669 
4a34 
4800 
5365 
5930 



7569 
8i34 



8699 87! 

9a63 93ao 
• 98389885 



886o3o3 
0957 
i5: 

ao86 
265i 
3ai5 



oi49 
ioi4 
1578 

ai43 
2707 
3a7i 
37793835 
43434400 



4907 
5471 
6o35 

7726 
8390 
8854 
9417 
• 9980 

8870544 
1107 
1670 
aa33 
2796 



39a a 
4485 



a4oi 
3968 
3535 
4ioa 
4668 

5a35 
58oi 
6368 
6934 
7501 

8067 
8633 

'^ 

o33i 



08970954 
i463 i5i9 



76a5 



8190 
8755 



4964 
55a8 
609a 
6655 
7219 

7783 
8346 
8910 
9473 
♦037 

0600 
ii63 
>727 
a 390 
a853 



33593416 



3978 
4541 



5o485io4 
56io'5667 



a458 
3oa5 
359a 
4i58 
4725 

5a( 
581 
64a5 

% 

St 24 
8690 
9256 
98aa 
o388 



aoa9 
2594 
3i6o 

37a5 
4291 
4656 
5421 
5987 
655a 
7117 
768a 
8a47 
88ia 



1070 
i635 

a703 
33a8 
389a 
4456 

5oao 
5584 
6i48 
671a 

7275 

783o 
84o3 
8066 
9530 
0093 

o656 
laao 
1783 
a346 
3909 

3472 
4o35 



ao85 

a65 

3ai6 

378a 
4347 
4913 
5478 
6043 

6608 

7173 
7738 
83o3 
8868 



93769433 
o5o6 ODOa 

127 



1691 

aa56 
a8ao 
3384 
3948 

5076 
564o 
6ao4 
6768 
733a 

7806 
845o 
90a J 



a5i4 
3o8i 
3648 
42i5 
4782 

5348 
5915 
648i 
7048 
7614 

8180 
8746 
931 a 
9878 
0444 

lOlO 

1576 
ai4a 

2707 
3a73 

3838 
44o4 

6100 

6665 
7a3o 
7795 
836o 
8935 

9489 
♦o54 
0619 
ii83 
1748 

a3ia 
2876 
3441 
4oo5 
4569 

5i33 

6261 
68a4 
7388 

795a 
85i5 
9079 



0769 
1 33a 



0713 
1376 
1839 
34oa 
3965 

3538 

45o8|4654 
5i6o5aj7,5a73 
5733 5779 5835 



9586 9643 
01490306 



1895 
2459 
3oaa 

3584 
4i47 
4710 



a57i|36a8 
3i383i95 
37053763 
42724328 
4838 ' 



54o5 
5971 
6538 
7104 
7671 

8337 
88o3 

o5oi 

1067 
i633 
3ioB 
2764 
3339 

3895 
4460 
5o36 
5591 
61 56 

6731 
7386 
785i 
84i6 



OD57 

II33 

1680 

aa55 
a83o 
3386 

3951 
45i7 
5o83 
5647 
63i3 

6778 
7343 
7908 
8473 
9037 



Olio 
0675 
1240 
1804 

a368 
3933 
34o7 
4o6i 
4635 

5i8< 
575: 
63i7 
6881 
7445 

8008 
8573 
9135 



o8a5 
1 389 
195a 
a5i5 
3078 

364i 
4204 



5339 
5893 



335i 

38i8 

4385 

4895 4952 



546a 
6o38 

7737 
83o3 



55i8 
6o85 
665i 
7217 



9426 



06140671 



9546 9603 
0167 
0732 
1396 
i860 



3435 

3( 

31 

4118 

4683 

5246 
58io 
6373 
6037 
7501 

8o65 
86a8 

13 



9'?; 

975! 
o3i8 

o88a 
1445 
3008 
3571 
3i34 

36o7 
4360 



47664833 



3685 



77847840 
835o 



8916 
9483 
♦048 



1180 
1746 
a3ii 

2877 
3443 

4008 
4573 
5i39 
5704 
6369 

6834 
8539 



8iai 
8685 
9348 
9811 
0375 



3o64 
3637 
3190 

3753 



3741 
33o8 
3875 
444a 
5oo8 

5575 
6i4i 
6708 
7274 



3798 
3365 
393a 
4498 
5o65 

563i 
6198 
6764 
733i 

7897 



84078463 



8973 
9530 
oio5 



1237 
i8oa 
3368 
2934 
3499 

4o65 
463o 
5195 
5761 
6336 

74'' 

803I 

8586 



9595 

OIOI 

0727 

1393 

1859 

3435 
3556 

4l3I 

4686 

5253 

5817 

638a 



7456751; 



90949150 

96509715 
oaa3 oa8o 
07880844 
i353 
1917 

a48i 
3o46 
36io 

4174 
4738 

53oa 
5866 



1 400 
1973 

3538 

3l03 

3666 
423o 
4794 

5358 
5933 



643o6486 



7o5o 
7614 

8177 
8741 
9304 
9868 
043 1 

09380904 
i5or i558 



5385, 
5948I 



3I3I 

3684 

3247 

38io 
43164372 
48794935 ^, 
,5443 5498i5554 
'6004 6000 6117 



7513 

8077 
8643 
9307 

9772 
o336 
0901 
1465 
ao3o 

3594 
3i58 
3733 
4287 
485i 

54i5 



61 

7106 

7670 

8334 
8797 
9361 
9924 
0487 



io5i 
i6i4 
2177 
2740 
33o3 



3866 
4429 
49?' 



I 


57 


a 


ii4 


3 


171 


4 


aa8 


5 


a85 


6 


342 


7 
8 


s 


9 


5i3 



I 


56 


3 


iia 


3 


168 


4 


334 


5 


380 


6 


336 


7 


39a 


8 


448 


9 


5o4 



12 3 



5 6 7 8 9 



Dim DimitMulL 



116 



LOGARITHMS OF NUMBBRS. 



Nam. 

mo 

• 31 

aa 

24 

25 
26 

27 

28 
39 

77 3o 
3i 

32 

33 
34 

35 
36 
3? 
38 
39 

77 4o 
4i 

42 

43 
44 

45 
46 
47 
48 
49 
77 5o 
5i 

52 

•53 

54 

55 
56 
57 
58 
59 

7760 
61 
62 
63 
64 

65 
66 
67 
68 
69 

7770 
71 
72 
73 
74 

75 
76 

78 
79 

Nttin. 



12 3 4 



5 6 7 8 9 Diff. 



88761731623962866342,5398 
6736 6792:6848^6904 6961 
7354'74io!7467|7523 



7298 
7860 
8423 



79* 7 797318029 8o85 
84798535 85918648 



8o85 9041 90071915419210 

• 95479603965997169772 

888 oio9'oi65 o223l<)378|o334 

0671 0727 0784 0840 0896 

1233 [28913451402 14^ 



i85i 
241 3 
2975 
3536 
4098 

4659 

5221 
5782 

6343 



1795 
2357 
2918 
3480 
4042 

46o3 
5i65 
5726 
6287 
6848 

7410 

7971 
8532 

• 96W 

8890214 
0775 
i336 
1896 
2457 
3oi7 

3577 
4i38 
4608 
5258 

58i8 
.6378 
6938 
7498 
8o58 

8617 
9177 

• 9736, , 
890 0296 o352 

o8d5 091 1 



6905696 

7522 
8o83 
8644 
9205 



1907 
2469 
3o3i 
3592 
4i54 

471 5 
5277 
5838 
6400 



x4i5 
1974 
2533 
3092 
365i 

4210 
4769 
5328 
5887 



1471 
2o3o 

3589 

3i4d 
3707 

4366 
4825 
5384 
5943 



1963 

2525 

3087 
3649 
4210 



4772 4828 
5333,5389 
58945950 
64566512 
70177073 



976698 



o326 
0887 
1448 
2008 
2569 



3l2( 

3689 



4810 
5370 

5930 
64oo 
7050 
7610 
8169 



3030 

358 1 
3U3 
3705 
4266 



7578 
8139 
8700 
9361 



o383 
0943 
i5o4 
3o64 
3635 



7634 
8195 
8756 
9317 
9878 

0439 



93 



i85 
3745 



435o43o6 4363 



4866 
5436 

5986 
6546 
7106 
7666 
8335 



873987858841 
9380 9345 9401 
9840990419960 
o4o8 o464|o53o 



I 

3I30 

3681 

334i 
38oi 



4922 
5482 

6042 
660a 
7163 

7722 
8381 



0967 

1 536 
3086 



1033 

1 583 

3l43 



2645|37oi 
33o4(336o 

3763 3819 



6445.650I 

70047060 
75637618 

8i3i 8177 

86708735 

9338>9394 



4333 
5440 
6??7 



7674 



4378 
4937 
5496 
6o54 
66i3 



71 16 7173 



773o 



8333:8389 
87918847 
9349 94o5 



1079 

i638 
3,08 

2757 
33i6 
3875 

4434 

it 

6110 
6669 

7227 
7786 
8344 
8903 



6454 
7017 

7579 
8142 

8704 



65ii 
7073 
7635 
819b 
8760 



9266 9323 



9838 
0390 
0953 
i5i4 

3076 
3638 

4332 

4884 
5445 
6007 
6568 



9884 
o446 
1008 
1570 

3l33 



71297 



2188 

2750 
3255 3312 
381738733939 
437944354491 

4940 4996 5o52 5io8 
55oi|5558j56i4'5670 
6063611961756231 
6624 6660 " "' " 
1857241 



7746 
83o7 
8868 



9990 
o55i 
iiii 
1672 

2232 
2793 

3353 



5o34 
5594 

61 54 



7690 
835i 
8813 
9373 
9934 

o4o5 
iod5 
1616 
3176 
3737 

3397 

3858 
4418 
4978 
5538 

6098 
6658 
7218 

7778 
8337 

8807 
9457 
♦016 
0576 
n35 

1694 

2253 

38i3 
3372 
393 

4490 
5o49 
5607 
6166633: 



6735678 



7283 
7842 
84oo 



801 

95] 



9^17 



6567 



6623 



7603 
8354 



71397185 



7748 
83io 



88168873 

937819435 
1 



1064 
1626 



1131 

i683 

2344 

3806 
3368 



6679 
7242 
7804 
8366 
8939 

♦oW 
o6i5 

1177 
1739 

33oi 
3863 
34a4 
3986 
4547 



7803 



6736 
7297 
7858 



679: 
7353 

7915 
8363 8419 8476 



8924 



9429 9485 



♦046 

0607 
1167 

1738 

3288 

3849 
3409 



391413970 
4474 453o 4586 



5090 
565o 

631 



67146770 



7274 
7834 



733o 
7890 



8393,8449 



8953J90099065 

- " 9634 

0184 

0743 

i3o3 



7^ ■' ' 
95 1 3.9560 

00720128 



o632 
1 191 

1750 
23o9 
2869 

3987 



0687 
1247 
1806 
2365 
2934 
3484 
4043 



4546 46oi 



5io4 

5663 

3 

1 



8456 



1599014 



5i6o 
57K 
637i 
6836 



7339 7395 
7898 7953 
^ ■*85i 
9070 



9573 9639I9684 



8980 
9541 

0103 

o663 



9037 

t^ 

0719 
1323! 1379 

1784 1840 
3345 3401 
3905 3961 

3465I352I 

4o36'4o82 

4642 

5203 
5762 

,6322 



5i46 
5706 

6266 



68366882 
7386]7442 
7946.8003 



85o5 



1863 
3431 
3980 
3539 
4098 

4657 
53 16 
5775 
6334 
6893 

745i 
8009 
8568 



856i 
9121 



0340 

1918 

3477 

3o36 
3595 
4i54 

47i3 
537a 
583i 
6389 
6948 

7507 
8o65 
8624 



91269182 



9740 



01234 56789jiNm 



Difr.«cMttfc. 



56 



I 
a 
3 
4 
5 
6 

.7 
8 

9 



57 
114 
171 

338 

285 
342 

lu 

5i3 



56 
iia 
168 
234 
380 
336 
39a 
448 
5o4 



DifrifcMQll. 



LOGARITHMS OR N U K B E R S . 



117 



Nam. 

TWO 

8i 

83 

83 
84 

85 
86 

87 
88 

89 

7790 
9' 
92 

93 
94 

% 

% 

99 
7800 
01 
oa 
o3 
04 

o5 
06 
07 
08 
09 
7810 
II 
la 
i3 
i4 

i5 
16 

17 
18 

«9 

7820 

ai 

aa 

23 

a4 

25 

26 
27 
28 
29 

78 3o 
3i 
3a 
33 
34 

35 
36 
37 
38 

39 

NWB. 



12 3 4 



5 6 7 8 9 



• 9796985a 

89103540410 

09ia|< 



1470,1526 
aoa8 2o84 



a586 2642 
3 1 443^00 
3702 3758 
4a59'43i5' 
48i7|4873 

53755430 
59325988 
64896545 



999? 
0466 

1024 

1 58a 

ai4o 

3698 
3256 
38i3 
4371 



9963 ♦019 

03220577 
1080 ti35 



638 
3196 

a754 
33ii 



7047 
7604 



710a 
7660 



4427 
4929 4984 

5486 
6044 
6601 
71 58 
77i5 



3869 3925 



8161 8217 

8718:8774 

9275 933 1 

• 9832 — 

8920389 



oo46 
i5o3 
aoSo 
a6io 
3173 

3729 
4a85 
484a 
5398 
5954 

65io 
7066 
76a a 
8178 
8734 

9H99 



8930401 
0957 
i5ia 



• 98369891 

8940390 
0944 
1498 
2o53 
2607 



0445 

1 00a 
1 558 
aii5 
a67a 
3aa8 

3785 
4341 
4897 
5454 
6010 

6566 
71 aa 
7678 
8a34 
8790 

9345 
9901 
0457 
loia 
i568 

ai23 
2678 
3a34 
3789 
4344 



7u8 

7673 
8228 
8782 
9337 



0445 
1000 
1 554 
2108 
a66a 



8a73 
883o 
9387 
9?44 
o5oi 

1057 
1614 
2171 
2737 
3a84 

384o 
4397 
4953 
55o9 
6o65 

66a a 

7178 
7734 
8a89 
8845 

94oi 

99^7 
o5ia 
1068 
i6a3 

2179 
2734 
3a89 
3844 
4399 

4954 

5509 

60096064 



554a 

7771 
8328 
8885 
944a 



656466196675 



7174 

7720 
8a83 
8838 
939a 
9947 
o5oi 
io55 
1609 
ai63 
2717 



1604 
aaoi 

a8o9 
3367 



Iii3 
1670 
a?a6 
a783 
3340 

3896 
445a 
5009 
5565 
6iai 

6677 
7a33 
7789 
8345 
8901 

9457 
♦012 
o568 

II 23 

1679 

2234 

2789 
3345 

3900 
4455 

5oio 
5565 
6120 



7239 

7784 
8339 



♦00a 

o556 
iiii 
i665 
aai9 



448a 
5o4o 

5598 
6i55 
671a 

7270 
7837 

8384 
8941 

tt 

o6ia 

1160 
I7a5 
aa8a 
2839 
3395 

395a 
45o8 
5o64 
5621 
6177 

6733 
7289 
7845 
84oi 
8956 

951 a 
0068 
o6a3 
1179 
1734 
aa9o 
a845 
34oo 
3955 
45io 

5o65 
56ao 
6175 
6730 
7a85 

7839 
8394 

^1 

oo57 

o6ia 
1 166 
i7ao 
aa74 



27732828 



0075 oi3i|Oi87.oa4J 



0633:0689 
1191 ia47 
1749 1 8o5 
a3o7 a363 



a865'292i 
3423 3479 
3981 
4538 
5096 

5653 
621 1 
6768 
7325 
7883 

844o 



07450801 
i3o3|i359 
186111917 
2419:2475 

29773032 
_,, 35343590 
4o36l4o92'4i48 
45o4 
5i52 



465o'47o6 
5207 5263 



5709 
6266 
6824 
738i 
7938 

8405 



89979053 
9554i96!0 
01 II 0166 
0668 

1224 
178 
2338 
2894 
345 1 

4007 
4564 

5l20 

5676 

6a3a 

6788 
7344 
7900 
8456 
9012 

9568 

OI23 



5765 

6322 

6880 
7437 
7994 

855i 
9108 
9665 



oaaa 0378 



0779 
i336 
189a 

a449 2§o5 
3ooo3o6i 



0679 0734 

ia34 

1790 

a345 
2900 
3456 
4oii 
4566 

Siai 



5676 
6a3 
6786 
7340 

7895 
845o 
9004 



390 
1845 

2401 

2956 

35i 

4o66 

4621 

5176 
5731 
6286 
684i 
7396 

7950 
85o5 
9059 



9558I9614 



5821 
6378 
6935 
74o3 
8o5o 

8607 
9164 
972 



0298 
o856 
i4i5 
1972 
253o 

3o88 
3646 
4204 
4761 
5319 

5876 
6434 



o835 

1 391 
1048 



36i8 

4174 
473 1 
5287 
5843 



63996455 
6o55 

7311 

8067 
8623 

9179 



8006 
856o 
9115 



3562 

4119 
467! 
523i 
5787 
6344 

6900 
7456 
801 1 
8567 
9123 

96799734 



0234 
0790 
1 345 
1901 

2456 
3oia 
3567 
412a 

4677 

5232 

5787 

6342 

68976952 
745 1 7507 



0290 
o846 
1 401 
1956 

a5i2 
3067 
362a 
4177 
4732 

5a87 
584a 
6397 



8061 
8616 
9170 



8io5 

8663 
92 ao 

9777 
o334 
0890 

1447 
2004 
256o 
3ii7 
3673 

423o 
4786 
5342 
5899 



701 1 
7567 
8ia3 
8678 
9234 



9790 
o346 
0901 
1457 
aoia 

a567 
3ia3 
3678 
4a33 



5343 
5898 
6453 
7007 
756a 

8117 
8671 
9aa6 



oii3 

0667 
laai 
1776 
a33o 
3884 



oi68ioaa4 



9669 9725,9780 



o379'o335 



o7a3 

1377 

i83 

a385 

2939 



0778 



1 33a 
1886 



o833'o889 
i388{i443 
I94a|i997 
a44oa4o6|255i 
3994 3o5o 3io5 



12 3 4 



5 6 7 8 9 



Diff. 



Dim 



Diff. k. Halt 



56 
iia 
168 
aa4 
a8o 
336 
39a 
448 
5o4 



55 
no 
i65 
aao 

375 
33o 
385 
440 
495 



Diff. 4c Malt. 



118 



LOGAEITHMS OP N U M B B H S . 



Nom. 

T840 

4i 
4a 
43 
M 

45 
46 
47 
48 

49 

78 5o 
5i 

52 

53 
54 

55 
56 
57 
58 
59 

7860 
61 
6a 
63 
64 

65 
66 
67 
68 

69 

7870 

71 
7a 

73 
74 

75 
76 
77 
7^ 
79 
7880 
81 
8a 
83 
84 

85 
86 

87 
88 

89 

7890 

9> 

91 

9^ 
94 

96 

9Z 
98 

99 

Nmn. 



12 3 4 



5 6 7 8 9 



894 3i6 

3715 
4a68 
48aa 
5376 

5921 

648. 

7037 

7590 

8143 



9598! 
;3 6531 



38 
709a 
7645 
8199 



8607 

9230 

• 9803 

895 o356 

0909 

i46a 
201 5 
2568 

3l20 

3673 

4aa5 

4778 
533o 
5883 
6435 



875a|88o7 8863 
930593609416 

9969 
o5a2 
1075 



9858I9914 



o4ii 
0964 

i5i7 
2070 
a623 
3176 
3728 

4a8i 
4833; 
5386' 
5938 
6490 

704a 

39 7595 

8147 



6987 
753- 
8092 
8644 
9195 

«!L9747 
8900299 

o85i 

i4o3 

1954 

a5o6 

3o57 

36o8 

4160 

47" 

5262 

58i3 

6364 

6915 

7466 

8017 

8568 

91 18 

• 96699724! 

897 0220 



0770 
1 320 
1871 

2421 
2971 

3521 
4071 
4621 

5171 

5721 



32i6 327ii3327 
377o'3825,388i 
4324'43794435 
4878149334988 
543154875542 



3382 
3936 
4490 
5o44 
5597 



56040:60966151 
'^65946640-6704 



7147 
7701 
8254 



7203 

7756 



83098365 



0467 
1020 

1572 

2125 

2678 

323i 
3783 



7258 
781 



43364391 



4888 
5441 



8918 
9471 
•024 
o577 
ii3o 

1628 i683 

2181 2236 

2733 2789 

3286 3341 
38393894 



59936048 

6545 6601 



4944 
5496 



8609 
9251 

9803 
o354 
0906 
1 458 
2009 

256i 
3ri2 
3664 
42i5 
4766 

53i7 
5868 
6419 
6970 
7621 



765o 
8202 
8754 



9306936 



7153 
7705 
8257 
8809 



9858 
0409 
0961 
i5i3 
2064 

2616 
3167 
3719 
4270 
4821 

5372 5428 
5923159796034 
6475 653o 6585 



99*3 
o465 
1016 
i568 
2120 

2671 

3222 
3774 

4325 



4446 

i^. 

6io4 
6656 

7208 
7760 
83i2 
8864 
9416 



1072 
1623 
2175 

2726 
3278 
3829 
438o 



4876 4931 
5483 



7025 
7576 

8072 8127 
8623 8678 
91739229 



. |9T79, 
0275 o33o 



0825 
1375 
1936 
a476 
3026 

3576 
4126 
4676 



0880 
i43i 
1981 
253i 
3o8i 

363 1 
4i8i 
473 1 



5226:5281 
5776t583i 



7081 7i36 
76317686 

81828237 
8733 8788 
9284 9339 
'98349889 
o385o44o 

I 
09350990 
i486i54r 
2o36 2091 
2586 2641 
3i363i9i 

36863741 
4236 4291 
4786 4841 
5336 5391 
5886 5941 



3438 



56i 

6206 
6760 
73i3 
7867 
8420 

8973 
9526 
0079 
o632 
ii85 

1738 
2291 
a844 
3397 

3949 
45o2 
5o54 
5607 
6159 
671 1 

7263 

7815 
8368 
8919 
9471 

♦023 

0575 

1 1 27 

1678 



3493 3548 
40474102 
4601 4656 
5i5452io 
57085763 

62626317 
68156870 
7369 74a4 
7922 7077 
8475 853i 8586 864i 

9028908491399194 



9582 9637 

01350190 

06880743 

24111296 



2346 2402 
2899 2954 
34523507 
4oo44o6o 

4557'46i2 
5109 5i65 
5662.5717 
62146269 



6766,682268776932 
74297484 



2781 
3333 
3884 
4435 
4987 
5538 



7191 
774a 

8292 
8843 
9394 
9944 



0495 

1045 
1596 
2i46 
2696275 
3246 "" 

3796 
4346 
4896 
5446 
5996 



36o4 365o 
4i58'4ai3 
471 1 '4767 
5265 5320 
58105874 

6372*6428 
69266981 
7479*7535 
8o33 8o88 



96929748 
0245 o3oi 
07980854 
i35i 



1794 1849 1904 



2457 
3oio 



1407 
1059 

25l2 

3o65 
3562|36i8 
4ii54x7o 



4667 
5220 

577a 



47a3 
5275 
58a8 



6325;638o 



73197374 
7871 1 7926 
8423 8478 

89759030 9085J9140 
952719582 



00780134 
o63oo685 



1 182 
733 



223o 3285 



2837 
3388 
3939 
4491 
5o42 



1237 
1789 
2340 

2892 
3443 

4?46 
5097 



981 
1533 



8o36 
8588 



9637969^ 

o]89'oa44 
0796 
1 347 
1809 
2450 

3002 

3553 
4io5 
4656 
5207 



0741 
129a 
i844 
2395 

2947 

3498 
4o5o 
46oi 
5i52 



5593 5648 5703 5758 



66406695 



'6756 



6089 6144 6199 6254 63o9 

'" ^ '- - 6860 

74" 
7962 

85i3 



7246 
7797 
8347 84o3 



73oi 
7852 



8953 



68o5 
7356 
7907 
8458 
90089063 



9449950495599614 
♦05401090165 



o55o 

1 100 
i65i 
2201 
1 
33oi 

385i 
44oi 
495i 
55oi 
6o5i 



o6o5 0660 0715 

1265 
1816 
2366 



ii55 
1706 

2256 



1210 
1761 
23" 



28o6'286i 
3356 34" 

390613961 
4456 4511 
5oo6 5o6i 
5556 56ii 
61066161 



2916 
3466 

4oi6 
4566 
5fi6 
5666 
6216 



DiC 



55 



Dur.4kif«iK. 



56 
112 
166 
aa4 
280 
336 
39a 
448 
5a4 



I 


55 


2 


no 


3 


i65 


4 


220 


5 


a75 


6 


33o 


7 


385 


8 


440 


9 


495 



01234 56789 



DiflT. 



DiflllfcMilL 



LOGAEITHMS OF Pf tTM B E R S . 1 19 1 


Nam. 
7900 


01234 56789 


Dim 


Dim Jd Malt. 


897 6271 


63266381 


64366491 


6546 


6601 


665667X1 


6766 






OI 


6821 


687616931 


6986 
7535 


7040 


7095 


7x5o 


7205 


7260 


73i5 






oa 


7370 


7425!748o 


7590 


7645 


7700 


7755 


78x0 


7865 






o3 


7920 


7975 8o3o 
8524,8579 


8o85 


8x4o 


8195 


825o 


83o4 


8359 


84i4 






o4 


8^ 


8634 


8689 


8744 


8799 


8854 


8909 


8964 






o5 


• Ts^ 


902J 9070 


9184 


9238 


9293 


9348 


94o3 


9458 


951 3 






o6 


9733 


9788 


9843 


9898 


9953 
o5o2 


♦008 


0062 






07 


8980117 


0172 


0227 


0282 


o337 


0392 


0447 


0557 


06x2 






08 


0667 


0722 


0776 


o83i 


0886 


0941 


1^5 


xo5i 


XX06 


xx6x 






09 


1216 


1 271 


i326 


i38o 


1435 


X490 


x6oo 


x655 


X710 






79x0 
II 


1765 
23i4 


1820 
236o 
2918 


1875 
2424 


X930 
2479 


xo84 
2533 


T^ 


2094 
2643 


2x49 
2696 


22o4 
2753 


280I 




x 

2 


55 

IXO 


12 


2863 


IV.'. 


3027 


3o82 


3i37 


3192 


3247 


33o2 


3357 




3 


x65 


i3 


3412 


3467 


3576 


363x 


3686 


3741 


3796 


385i 


3906 




4 


220 


i4 


3960 


401 5 


4070 


4x25 


4180 


4235 


4290 


4345 


4399 


4454 




5 


275 


i5 


4509 
5o58 


4564 


4610 
5i68 


4674 


47»9 


4784 


4838 


4893 


4948 


5oo3 




6 


33o 
385 


16 


5ii3 


5222 


5277 


5332 


5387 


5442 


5497 


5552 




7 


17 


56o6 


566i 


5716 


5771 


5826 


588i 


5936 


l^ 


6045 


6100 




8 


440 
495 


18 


61 55 


6210 


6265 


6320 


6374 


6978 


6484 


6594 


6649 




9 


«9 


6703 


6758 


68i3 


6868 


6923 


7o32 


7087 


7142 


7197 






7920 


7252 


7307 


736i 


74x6 


7471 


7526 


758x 


7636 


7600 
8239 


7745 






ai 


7800 


7855 


7910 


7965 


80x9 
8568 


8074 


8x29 


8x84 


8294 






32 


8348 


84o3 


8458 


85x3 


8622 


8677 


8732 


8787 


8842 






23 


8897 


8951 


9006 


906X 


91x6 


9x71 


9225 


9280 


9335 


^ 






a4 


9445 


9499 


9554 


9609 


9664 


9719 


9774 


9828 


9883 






25 


8990541 


♦048 


0102 


ox 57 


0212 


0267 


o32X 


0376 


o43x 


o486 






36 


0595 


o65o 


0705 


0760 


o8i5 


0869 


0924 


??I? 


io34 






27 


1089 
i636 
2184 


1x43 


1198 


X253 


x3o8 


i363 


i4f7 


.472 


1 582 






28 
29 


1601 
22^ 


1746 
2294 


i8or 
3348 


i856 
24o3 


19x0 
2458 


[tl 


2020 
2568 


2075 
2622 


2x29 

2677 






7930 


2732 


2787 


2841 


2896 


2951 


3oo6 


3o6o 


3xx5 


3170 


3225 






3i 


3279 


3334 


3389 


3444 


2S 


3553 


36o8 


3663 


37x8 


3772 






32 


3827 


3882 


3937 


4% 


4xox 


4x56 


4210 


4265 


4320 






33 


4375 


4429 


4484 


4594 


4648 


47o3 


4758 


48x2 


4867 






34 


4922 


4977 


5o3i 


5o86 


5x4i 


5196 


525o 


53o5 


536o 


541 5 






35 


5469 


5524 


61 a6 


5634 


5688 


5743 


5798 


5852 


5907 


5962 






36 


6017 


6071 


6x8x 


6235 


6290 
6837 


6345 


64oo 


6454 


6500 






37 


6564 


6619 
7166 


6673 


6728 


6783 


3i 


6947 


7002 


7o56 






38 


7111 


7220 


7275 


733o 


7384 


7494 


0090 


7603 






39 


7658 


77i3 


77^ 


7822 


7877 


7932 


8o4x 


8i5o 






7940 


8205 


8260 


83i4 


8369 
8916 


8424 


8479 
9025 


8533 


8588 


8643 


8697 






4i 


8752 


8807 


886x 


8971 


9080 


9x35 


5;^ 


9>44 






54 
108 
X62 
216 


42 


9299 


9354 


9408 


9463 


95x8 


9572 


9627 


9682 


0884 




I 


43 

44 


• 9846 
9QP0392 


^. 


9955 
o5o2 


♦0x0 
o556 


0064 
o6xx 


0119 
0666 


0174 
0720 


0228 
0775 


0283 
o83o 




2 
3 
4 


i 45 


0939 


1^ 


io48 


xxo3 


Jx58 


12x2 


1267 


X322 


x376 


i43x 




5 


270 


> 46 


i486 


1595 


x65o 


X704 


1759 
23o5 


i8i4 


x868 


X923 


1977 

2524 




6 


324 


47 


2032 


2087 


2l4l 


2x96 


225X 


236o 


24x5 


2460 
3oi6 




7 


378 


48 


2579 

3i25 
3671 


2633 


2688 


2743 


3797 


2852 


2906 


2961 
3507 

4o54 


3070 




8 


432 


49 
7950 


3i8o 
3726 


3234 
3781 


3289 
3835 


3344 

3890 
4436 


3398 
3944 


3453 


3562 
4xo8 


36x7 
4i63 




9 


486 




5i 


4218 


4272 


4327 


438i 


^; 


4600 


4654 


4709 
5255 






52 


4764 


48x8 


4873 


4938 


4982 


5091 
5637 


5x46 


5aox 






53 


53io 


5364 


5419 
5965 


5474 


5528 


5583 


5692 
6238 


5747 


58oi 






54 


5856 5910 


6020 


6074 


6x29 


6x83 


6293 


6347 






55 


64o2{6456l 


65x1 


6566 


6620 


6675 


S? 


6784 


6839 


74^ 
8?3o 






56 


6948,7002 


7057 


7x12 


7166 


7221 


7330 


7384 






57 


74947548 
80398094 
8585 864o 


7603 


7657 


7712 


7766 


782 X 


7876 


7930 






58 


8x48 


8203 


8258 


83x2 


8367 


8421 


8476 






59 

Nnru 


8694 


8749 


88o3 


8858 


8912 


89679022 


9076 






01234 56789 


Dim 


DimJtMuiL 



120 



LOOABITHMS OF IfDMBBRS. 



Nam. 

7960 

6i 
6a 
63 
64 

65 
66 

67 
68 

69 
7970 
71 
7a 
73 
74 

75 
76 
77 
78 
79 
7980 
81 
8a 
83 
84 

85 
86 

87 
88 
89 

7990 

9' 
9a 

93 
94 

% 
p 

99 
8000 
01 
oa 
o3 
04 

o5 
06 
07 
08 
09 

8010 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

Num. 



12 3 4 



5 6 7 8 9 



900 91 3 1 



9185 



9676973 



901 oaaa 
0767 
i3i3 

i858 
a4o3 
a< 



0376 
o8aa 
i367 

191a 
a458 
3oo3 



3493 3548 
4o3d4o93 



4583 
5ia8 
5673 



4638 
5i83 

5737 



62186272 



6762 

7307 
785i 
8396 
8940 
9485 

90a ooao 
0573 
1117 
1661 
aao5 

3293 
3837 
438i 



6817 

736i 
7906 
845o 
8005 
9539 

oo83 
0628 
1 172 
1716 
aa6o 

2804 
3347 
3891 
4435 



4924 4979 



5468 
6011 
6555 
7098 
7641 

8i85 

8728 

9271 

• 98M 

903 o357 

0900 
1443 
io85 
2528 
3071 

36i3 
4i56 
4698 
524i 
5783 



7i52 
7696 



8239 8; 



8782 
9325 



o4ii 

0954 
1497 
2o4o 

2582 

3i25 

3668 
4210 
4753 
5295 
5837 



63251 

6867 

7409 

7951 

8493 



6922 
7464 
8006 
8548 



90359089 



•• 9^77 

9040119 

0661 



9631 
0173 
0715 
1256 



9a4o 
9785 
o33i 



08760931 



i4aa 
1967 

25l2 

3o57 
36o2 
4i47 
4602 
5237 
5782 
6327 
6871 

7416 
7960 
85o5 
9049 



7470 
8oi5 
8559 
9104 
959^9648 



oi38 
0682 
1226 
1770 
23i4 

2858 
3402 



0192 
07^6 
1280 
i8a4 
»368 

2912 
3456 



3946 4'KX> 4o54 



4480 
5o33 

5577 
6120 



5522 

6066 
66096663 



7207 

775o 



293 
8836 



1008 
i55i 
2094 
2637 
3179 

3722 
4a64 
4807 
5349 
5891 

6379 ^434 



6976 
75i8 
8060 
8602 

9144 
9685 
0227 



i3io 



9294 9349 



9840 
o385 



1476 
2021 
2567 
3iia 
3657 
4ao2 

4747 



638 1 



9894 
o44o 

%\ 

2076 
-i6ai 
3i66 
371 1 
4a56 

4801 
5346 
5891 
64^6 



69266980 



75a5 
8069 
86i4 
91 58 
970a 

0247 
0701 
i335 
187? 
24a3 



4544 
5087 

563i 
6174 
6718 
7a6i 
7804 

8348 
8891 



93809434 

9923 

o466 



9977 
o52o 

io63 
1606 
2i48 
2601 
3234 

37f5 
4319 
4861 
54o3 
5946 

6488 
7o3o 
7572 
8114 
8656 

9198 
9740 
0281 



0769 0823 0877 



i365 



1967 
I5ii 



4598 
5i4a 

5685 
6229 
6772 
73i5 
7859 

8402 
8945 
9488 
♦o3i 
o574 

1117 
1660 

2203 

2745 
3a88 

383o 
4373 
4915 
5458 
6000 

654a 
7084 
7626 
8168 
8710 

9a5a 
o336 



1419 



94o3 

9949 
0494 
io4o 
i585 

ai3o 



9458|95i3 

♦oo4oo58 

05490604 

1094 

i64o 

2i85 



3275 



2676 
32ai 
3766 
43ii 

4856 
5401 
5945 
6490 
7o35 

75797634 



4365 

4910 
5455 
6000 
6544 



8124 

8668 

9212 

97^7 

o3oi 

0845 

i389 

1933 

2477 

3oai 

3565 

4i 

4652 

5196 



094 



5740 
6283 
6826 



7913 
8456 

oo85 
o6a8 

1171 
17M 
a257 

2799 
334a 

3885 
4427 

'^. 

6o54 

6596 
7i38 
7680 
8a22 



2730 2785 



3820 3875 



70897144 



8178 
8723 
9267 
981 1 

o355 
0900 
1444 
1088 

2532 

3076 

3619 

i63 

4707 



525o53o5 



5794 
6337 
6881 



737074247478 



7967 
85ii 
9054 
9597 
oi4o 
o683 

1226 
1768 

23ll 

2854 
3396 

3939 
448i 
5o24 
5566 
6108 

665o 
7193 

7735 
8a77 



93069360 
98489902 
o3ooo444 
09310985 
1473' 1 527 



"49 
1694 

2239 



333o 



4420 

4q65 
5509 
6o54 
6599 



9567 
oii3 
o658 

I203 

1749 
3294 

3384 
3939 
4474 
5019 
5564 
6109 
6653 



71987353 



8a33 

8777 
93ai 
9866 

o4io 
0954 
1498 
3043 
3586 

3i3o 
3674 
4ai7 
4761 



7743 
8387 
883i 



93769430 
99209974 



o464 
1008 
1 552 
2096 



26403695 

3i84 
3728 
427a 



5848 
6302 
6935 



802a 

8565 
9108 
965 1 
oiq4 
0737 

1380 
1833 
3365 
3908 
345f 



5078 
5630 
6i63 

6705 

7247 



833 1 



87641881988738937 



94i5 

0498 
io4o 
i58i 



96a a 
0167 
0713 
1358 
i8o3 

2349 
2894 
3439 
3q84 

4539 

5o74 
56i8 
6i63 
6708 



7797 
834i 
8886 



48i5 
5359 

5903 
6446 



8076 
86198674 



9163 
9705 

0348 
0791 

1 334 
1877 
a4ao 
3963 
35o5 

4o47 
45oo 
5i33 
5674 



6759 

73oi 

77897843 



8385 



♦010 
o553 
1094 
i635 



o5io 
io63 
1607 

3l5l 



8339 
3783 
43a6 
4870 
54i3 

5957 
65oo 
7044 
7587 
8i3o 



9317 
9760 
o3o3 
0846 

i388 
T931 
2474 
3oi7 
3559 

4ioa 
4644 
5i86 
5739 



6317 6371 



68i3 
7355 
7897 
8439 
8981 



94699533 



oo65 
0606 



48 
1690 



12^4 56789 



Dift 



DiflUtMnk. 



Diff. 






LOGARITHMS OF NUMBERS. 



121 



Nam. 
8030 

31 
33 
33 
34 

35 
36 

37 
38 

39 

80 3o 
3i 

33 

33 
34 

35 
36 

37 
38 
39 

80 4o 
41 
43 
43 
44 

45 
46 

47 

48 

49 

80 5o 

5i 

53 

53 
54 

55 
56 

57 
58 

59 
8060 
61 
63 
63 
64 

65 
66 

67 
68 

69 

8070 

71 
73 
73 
74 

75 
76 
77 
78 
79 
Nob. 



01234 56789 



904 1744 1798 

3385.3339 

3837' 388 1 

' 3368 3433 

39093963 



i853 
3393 
3935 
3476 
4017 



190611960 
3448 35o3 
398913043 
353o,3584 
40734136 



445o'45o5455946 
4993 5o46 5ioo 
5533 5587|564i 
607461386183 
6615666967336777 



& 



7155,7310 

76067750 

8337|83( 

8778, 

93189373 

• 98599913 
905 0399 0453 
0940 
i48o 

3030 

356o36i5 
3i55 
3695 
4335 



7^64 
7804 
8345 
8886 
9436 9480 



r^4 

3074 



3749 38o3 

43894343 

477548394883 



• 9577 
9060116 

o655 
1195 
17^4 
3373 
a8i3 

335o 



53i4 
5854 
63q4 
6934 
97473 

8oi3 
8553 



01700334037! 



38893943 
44a8 4483 



4967 
55o5 



6098 
6636 



6044 
6583 
7121 

7659I7713 



8197 
8735 



o35oo4o3 



• 9813 

907 
0887 

i4'»5 
iq63 
a5oi 
3o38 
3576 



5368 
5908 
6448 
6988 

7537 

8067 



86068660 

9146 

9685 



I3i 

1788 

3337 

3865 
3404 



5030 



555956 



835i 



937393379381 



9665 
o4o3 
0941 

1479 
3017 
3555 
3093 
363o 



i3'4667 
5 1 54 5308 
5695 5749 
63J66390 
" '683i 



o; 
1048 
1 588 

3138 

3669 
3309 



0763 
i3o3 
i84i 
338o 
2919 

3458 



5074 
i3 



6i5t 



7174 7228 



7767 
83o5 



87898843 



0995 

i533 
3071 
3608 
3i46 
3684 



73187373 
7858 7913 
83998453 
89408994 
9480 9534 



66906744 



8807 
9435 
3 



1049 

1 587 

3134 
3663 
3300 

3737 



45904643 



835984x3 
8951 
9489 

o5ii o565 



iio3 

i64o 
3178 
3716 
3354 
379' 



30l4 

3556 



4180 

4721 
5363 
58o3 



3069 
3610 
3i5i 



3664 
33o6 



36o3;3747 
43344388 



53 1 6! 5370 

5857 591 1 

6344|63o86453 



68856939 

74367480 
803 1 
856i 
9103 

95899643 



7967 
85o7 



0139 
0669 

I3IO 
1750 
3390 

383 1 
3371 
3911 
445i 
499' 
553o 
6070 



71497203 
7689 - 



8339 
8768 
9307 
9847 



0935 
1464 
3oo3 

3543 

3o8i 



4607 
5336 
5774 

63i3 
685i 
7390 
7938 
8466 



9543 
0081 
0618 
ii56 

i6a4 
3333 
3770 
33o7 
3845 



6993 



75347588 
80758139 
86158670 



9i56 



96979751 



oi83 
0734 
1364 
1804 
3344 

3885 
3435 
3965 
45o5 
5o45 



0391 
o83: 
1373 
1913 

3453 



0337 

0778 

i3i8 
i858 
3398 

34793533 
40194073 
45594613 
■ 5i53 



5584 
6134 



5099 

5638 

6178 

66106664 6718 

7357 

7797 

8336 

8876 

9<i5 

. .. 9954 

o386 04400494 

i'o33 
1573 

3III 



7743 

8383 
8833 
9361 
9901 



3o57 
3596 
3i35 



3630 3674 3738 



41594313 



4751 
5390 
5838 

6367 



7444 
7983 
8530 



0004 9o58 

01 
0673 

1310 



596 

ii34 



1748 

3386 

3833 
336i 
3899395 



3177 
3718 
3360 
38oi 
4343 



333 1 

3773 

33i4 
3855 
4396 



4775'4839 4883 4937 



5434 
5965 
65o6 
7047 



9310 



56o3 
6333 
67736836 



48o5 
5344 
5883 

6431 
6 

8i 
8574 



690569597013 



9113 



0188 



1364 

1803 
3340 
3877 
34i5 

3 



5479 
6030 

656o 
7101 

7643 
8i83 
8734 
9264 
9805 

o345 
0886 
1426 
1966 
35o6 

3o47 
3587 
4137 
4667 
5307 

5746 
6386 



73ii 
785i 

8390 
8930 
9460 
♦008 
o548 

1087 
1636 
3i65 



36503704 
31893343 



3781 



436643304374 



53o7 
5936 

6474 



755i 
8090 
8638 

9166 



9650 9704 9758 

' 0396 

o834 

1373 



0343 



0736 0780 



i3i8 

i856 
33o3 
393? 
3469 
4ooo 



7365 
7905 

8444 



8984 
9533 
0063 
0603 

ii4i 
1680 
3319 
3758 
3397 

3835 



48594913 



545i 
5990 

6538 
7067 
7605 
8143 
8683 

9330 



1909 

3447 
3985 

3533 

4060 



12 3 4 5 6 7 8 9 
16 



DiR 



IHftdtMulL 



54 



54 
108 
163 
3l6 

370 
334 
378 

433 
486 



53 
106 
159 

313 
365 

3i8 
371 
424 

477 



Dur. 



DUE^tMah. 



12*2 



LOGARITHMS OF If IT M B E B 8 • 



Nanu 

9080 

8i 
82 
83 

84 

85 

86 

87 
88 
89 

8090 

96 

98 
99 
8100 
01 
02 

o3 
04 

o5 

06 

07 
08 

09 

8x 10 

II 

13 

i3 
i4 

i5 

16 

17 
18 

19 
81 ao 
ai 
aa 
a3 
24 

a5 

a6 

27 

38 

»9 

81 3o 
3i 
3a 
33 
34 

35 
36 
37 
38 
39 

Num. 



01234 56789 



00741 14 
465 
5i88 
5736 
6a63 

6800 
7337 
7874 
84ii 
8948 



4i^ 

47o5 
5i4a 

57i 
63i7 



7391 
7928 
8465 
9002 

9485 9530 
908 0032 <xy70 
05590612 
>5ii4^ 
1666 



80 58. 



6854*69066961 



2169 

2705 

3a4 

3778 

43i4 



2232 

2759 
3295- 

383 1 
4368 



485049044967 



5386 
592a 
6458 
6994 



5440 
5976 
65i2 
7048 



753o 7584 7637 7691 



8066 

8602 

9137 

• 9673 



8l20 

8655 
9T91 

9727 



909 oao9 oa62 



0744 
1379 
i8i5 
a35o 

2885 
3420 
3955 



3474 
4009 

44904544 

5o25 

556o 



7165 
76997753 



8a34 

8768 
93o3 

♦ /" 
91 0637 1 



0905 
i44o 
1974 
25o8 
3o42 

3576 



422 1 14275 
4759J4812 

5a. 



5887 
6370 64a- 



7445 
796a 



535015403 



43a< 
486^ 
540: 
5941 



46478 



7015 
755a 
8089 



74o8 

85i9'8573l86a6 
90569109^9163 

95939646:9700 
oi290i83oa37 



0666 

I203 



54^4 
6o3o 
656666 



0798 
1333 
1868 
a4o4 
293921 



5079 

56i4 
6i4o 
6683 
7218 



3885 
4421 



447: 
Son 
5547 
6o83 



7102 



8173 
8700 
9245 



9780 96! 



o3i6|< 

o85i 

i386 

1922 

2457 



3??; 

4062 

45o7 
5i3a 

5667 
6202 



7271 
7806 



0720' 0773 



256|i3io 

17391 17951 1847 

2276 

a8i2 

334< 

3930] 309a 
44754528 



2; 
3402 



7i5? 



8227 
8762 



0360 
0905 
i44o 



3o46 
358i 



465i 
5i86 

5721 
6256 



673767906844 



7325 
7860 



2920 
3456 



5o65 
56oi 
6137 
6673 
7209 

7745 
8a8o 
88i5 
935a 
9887 



o4a3 
0958 
1494 
19752039 
a$iia564 



36?4 



41164169 



4704 
5239 

5774 
63o9 



7378 
7913 



8287834183948447 
8822887589298982 
9356 94o9'9463 95i6 



9837989019944 
04250478 



2027 
256i 
3095 1 

36a< 



1012 
,i546 
2081 



♦o5i 
o585 

10661110 
)3 



4io9'4i63 
4643,4607: 
5 1 77, 52^0 
571015764 



1600 i65^ 
i-*yw. 2i34 2187 
I26152668J2721 
|3i48 3202 3255 

368237363789 
421642704323 
475o'48o3'4857 
5284.53375390 
58i7l587i'5924 



438a 



4920 497- 
5457551 



6048610a 



7069 

7606 

8143 

868087: 

9317 



6585663966^36747 

71337176173307284 
7821 



7660 
8197 
8734 
9370 



77549*079861 



0390 
0837 
i364 
1900 

2437 
2073 
35io 
4o46 
4582 

5ii8 5i72 
565i457o8 
61906244 
67266780 



o344 
0861 
i4i7 
1954 

3490 
3o27 
3563 



7262 

7798 
8334 



3i53 
3688 
4333 
4758 
5293 



f4436|449o|454445«7 
127 5o6f 5i35 



77i3 
825o 



8787684 
93349378 



0398 
0934 
1 471 
aoo6 



2544 
3o8o 
36i7 
4i53 



46894743 



73i6 

7852 
8387 



88708923807- 
a4o5Qi45go5i; 



94o5 
9941 

04760530 
1012 

1 547 
2082 
2618 



io65 
1601 
ai36 
2671 



3741 

4276I4: 

48ii 

5346 



58a8 588r 

6362 

6807:6951 

743217485 
7966 80Q0 

85oi8554 

^^& 

oio4oi58 
0638*0692 



5o27 



55655618 



5672 
61 56 6209 



83Q48358 
8895 
9432 

o5o5 
1042 
1578 

21l5 

265i 
3i88 



o45i 
0988 

2061 
2598 
3i34 



3670 3724 



4207 



5225 

5762 
6296 
6834 



94599! 
999^*o48 



>795 

433o 
4865 
5400 

5935 



64166469 



7767 



5279 

58i5 

635f 

1466876941 

' "7477 

8012 

8548 

9084 

9566 961Q 
01 55 



73697423 

7905 
8441 

12 



•58306^0690 
1119 
i654 
2189 
2725 



1172 

1706 
2243 

2778 



3206 3360 33i 3 3357 



3848 



4918 
5453 

5968 



7004 7o58 
75307592 
80738127 



4269 
4797 
533J 
5869 
64o5 



1226 
1761 
2277 

2833 



3903 



438344^ 



4972 
55o7 

6o4a 



65a36576 
7111 



1 173 1336 
I707I760 
334113394 
2775 3838 
33093363 



8608 
9142 

9677 
03I1 
0745 

1379 

i8i3 
3348 
2883 
341 5 



8661 
9106 
973o ^ 
o364o3i8 



^99 



3401 



7646 
8180 

8715 
9349 
9784 



o853 



i333 1386 
18671920 



2454 
2088 
353a 



384a'3896 3949 4oo3 4o56 
4376 443o'4483:4536 4590 
49io'4963|5oi7 5070 5i23 
5444,54d555o|56o45657 
59771603 1I6084 61 37*6 1 91 



012 34 56789 



mm 



nfliitiWL 



1 
2 
3 
4 
5 
6 

7 
8 

9 



Dim \ DililJfcMalL 



LOGARITHMS OF NUMBERS. 



123 



Wini. 12 3 4 



9140 

4i 

43 

43 
44 

45 
46 

47 
48 

49 
8i5o 
5i 
5a 
53 
54 

55 
56 
5? 
58 
59 

8c 6o 
6i 

63 

63 
64 

65 

66 
67 
68 
69 

8170 
7« 
7* 
73 
74 

75 
76 
77 
78 
79 
8180 
81 
8^ 
83 
84 

85 
86 

87 
88 
89 

8190 
9' 

98 

99 



5 6 7 8 9 



•10 6344 
6778 
73 

7844 
8378 

891 

9444 

• 9977 

911 o5io 

1043 

1576 
3109 
364a 

3i74 
3707 

4340 

4773 
53o5 



9497 
♦o3o 
o564 
1096 

1639 

2i6a 
2695 
3228 
3760 

4393 
4825 
5358 



58376890 
63696433 



6902 



6955 



74347487 



79668. 



84j8 
90J0 

• 9562 

9130094 

0626 

ii57 

1689 

3321 

3752 

3284 
38i5 



5409 



7533 7586 
8064811 



8595 
9136 
• 9656 

913 0187 

• 0717 

1248 

1778 

3309 

3839 
3369 



3899 3952 
443o4483 



4960 

5490 
60196072 



6207 
683i 
7364 
7808 
84 J I 



635i 

6884 
74i8 
7951 
8484 



8964 9018 



955 
0084 
061 
ii5o 



4346 
4879 
541 1 
5943 
6476 6S29 

70087061 



1019 
855 1 
9083 

9615 

01470200 

0679 

I3IO 

1743 



3374 
2805 
3337 

3868 



434643994453 



48784931 



5463 



59405993 
6471 6524 



700270557108716 



8648 

9179 
9709 

0340 
0770 
i3oi 
i83i 

2362 

289a 

3422 



5oi3 
5543 



65496603 

70797^32 
76Q9I7662 



64046457 



6v38 
7471 
8004 



8538 8591 



^4 

8o58 



9071 



9134 



96049657 
01370190 



70670 
3o3 



i683 1736 

33l5 2269 

3748 " 

3381 

38i4 



7540 
8072 
8604 
9i36 



9668 



0732 
1264 
1795 

2327 
3858 
3390 
392 



34 6577 



78 



170 
8701 
9232 
9762 

0293 
0824 
i354 
1884 
241 5 

3945 
3475 
4oo5 
4536 
5o66 

5596 
6125 
6655 
7i85 

771 5 



2802 
3334 
3867 

1^ 

5464 
5997 



7593 
8126 
8658 
9190 

9731 
0253 
0785 
i3i7 
i848 

238o 
3912 
3443 
3974 
4506 

5o37 
5568 



4o84 
55i5 

60466099 
" 663o 



76397692 



8223 



5119 

5649 

6178 
6708 
7238 
7768 



0733 
1356 

1789 

3333 

3855 
3387 
3930 

4453 
4985 
55i8 
6o5o 
6583 

7"4 

7647 

8179 
871 1 
9343 

9775 
o3o6 
o838 
1370 
1903 

3433 
3965 
3496 
4o38 
4559 

5090 
5631 
6i52 
6683 
7314 

7745 
8376 



87548807 
9285 9338 
9815 '^'•" 

o346 

0877 
1407 
1937 
2468 

21 

3528 
4o58 
4589464: 



0930 
i46o 
1990 

3531 



3o5i 
358i 
4iii 

5172 

5703 
633i 
6761 
7391 
7831 



65ii 
7044 
7578 
8111 
8644 

9177 
9711 
0244 
0777 
i3io 

1843 

2375 

2908 

344 

3973 

45o6 
5o38 
5571 
6io3 
6635 

7168 
7700 



6564 661816671 



0207 
o83o 
i363 

1896 
3439 
3961 
3494 

4027 



763 1 
8e64 
8698 

9231 
97649817 



7i5i 
7684 
8218 
875 



o35o 
0883 
i4i6 

1949 
3482 
3oi5 
3547 
4o8o4 



45594612 



5092 
5624 
6i56 
6689 

7311 
7753 



3o7 
36o2 



4665 

5196 
5738 



8232 8285 

8764 

9296 

9828 
o36o 
0891 
i423 
1955 

3486 
3oi8 

3549 
4o8i 
4612 

5i43 
5674 
6206 
6737 
7268 

7798 
8329 
8860 
9391 
9932 

0452 
0983 
i5i3 
2o44 
3574 

3io4 
3634 
4i65 



5i45 
5677 
6210 
6743 

7374 
7806 
8338 
8870 



7321 



9975 

o5o5 
io36 
i566 
2097 
2627 

3i57 
3687 
4218 



o4o4 0457 



0937 
1470 



3003 

2535 

3o68 

36oi 

i33 

4666 
5198 

573 1 
6263 
6795 



8817 
9349 9402 

9934 
o466 



o4i3 
0945 
1476 
2008 

2539 2593 



0998 
1529 
3061 



3i24 
3656 



41344187 



5781 



62596312 
6790 



7374 
7905 



7853 
8382 
89138966 



94449497 



46954748 
52255278533] 



1089 
1619 
2i5o 

3680 

32IO 

3740 
43-n 

4801 



57555808 586i 
6384633763906443 
681468676930' "^ 
734473977450 
7874 7937I7980 



7304 
7738 
8371 
8804 



16734 
7358 

779' 
8324 
8858 



9337 9391 



9871 



7327 
7859 
8392 
8924 
9456 

9987 



1^3 

3o56 
2588 

3l2I 

3654 
4186 

4719 
535i 

5784 
63i6 
6848 

738i 
7913 
8445 
8977 
9509 

♦041 



io5 
1 583 
31 14 

3646 

3i77 
3709 
4340 
477" 



4718 

5349 53o3 

- " 5834 

6365 



684368966949 



7437 
7958 



84368489 



9019 
9550 



♦028 0081 

o558|o6iT 
1 143 
1672 

22o3 

2733 



3263 
3793 
432.4 
4854 
5384 

5914 



6973 
7003 
8o33 



99?4 



05190573 
iio4 
i636 
3167 

sis 
3762 
4393 
4834 



5356 
5887 
64i8 



748o 

8011 
8543 
9072 
9603 
01 34 

0664 
1195 
1725 

2256 

2786 

33i6 
3846 
4377 
4907 
5437 

5967 
6496 
7026 
7556 
8086 



01234 56789 



DUC 



53 



DifC^tMult. 



53 
106 
159 

313 
365 

3i8 

371 
434 

477 



53 

104 
i56 
308 
360 

3l3 

364 
4i6 
468 



Diir. Diff. it Mah. 



M I 



r^4 


LOaABITH.nSOPNOMBEES* 1 


8200 


01234 56789 


Dtff-. 


DiflT. it Msft. 


913 8139 8191 8244 8297 835o 
86688721877488278880 
9i96'925i'93o4 9356 9409 

• 9727 97809833 98869930 

914 0257.0309 o362 o4i 5|o468 


84o3 8456,85098562861 5 






OI 

oa 
o3 
o4 


8933 
9462 
9992 
o52i 


8986903990929145 
95i 59568 962 1 9674 
♦045 0098 01 5 1 0204 
o574o627|o68o|o733 






o5 
06 


0786o839'o892 
i3i5i368i4ai 


09450098 
14741 1527 


io5o 
i58o 


iio3 
i633 


ii56i209'i26a 
1686 1738 1 791 






07 


1844 1897 1950 


2oo3i2o56 


2109 
2638 


2162 


22152268I2321 
2744l2797'285o 






08 


a373 2426 2479 ^532 
2903 2955;3oo5J3o6i 


9585 


2691 






09 


3ii4 


3167 


3220 


3273 


3326 3379 






82 10 


3432 


3484'3537!359o3643 


3696 


3749 38o2 
4378 433 1 


3855'39o8 




I 


53 


11 


3961 


4oi3 4o66|4ii9'4i73 


4225 


4384:4437 




a 


ra6 


12 


4480 
5oi6 


4542 


4595 464ttl47oi 


4754 


4807I4860 


49i2i4965 




3 


159 


i3 


5071 


5i24 5i77|523o 


5283 


533515388 


54415494 




4 


ata 


i4 


5547 


56oo 


565357065758 


58ii 


5864 


5917 


5970J6023 




5 


265 


i5 


6076 


61296181 


623416287 


634o 


6393 


6446 


6499'655i 




6 


3)8 

3- J 


16 


6604 


6657I6710 


67636816 


6869 


6921 


6074 
75o3 


7027 


7080 




7 
8 


4U 


17 


7133 


7186 


7239 


7291 


7344 


7397 


745o 


7556 


7609 






18 


7661 
8190 


7714 
8243 


7767 
8295 


7820 


7873 
84oi 


7926 
8454 


7978 
85o7 


8o3i 


80848137 




9 **^ f 


'9 


8348 


856o 


861 3 8665 






8a ao 


8718 


8771 


8824 


8877 


8930 


8982 


9035 


9088 


9141 


9194 






21 


9246 


9290 
9828 


9352 


94o5 


9458 


9563 


9616 


96699722 






aa 


• 9775 


9880 


9933 


^ 


♦o39 


0092 


0144 


01970250 






a3 


9i5o3o3 


o356 


0409 


o46! 


0567 


0620 


0673 


0725 


0778 






24 


o83i 


0884 


0937 


0989 


1042 


1095 


ii48 


1 201 


1253 


i3o6 






a5 


1359 


i4i2 


!465 


I5l7 


1570 


i6a3 


1676 


1729 


1781 


i834 






a6 


1887 


\% 


l^: 


2045 


2098 


ai5i 


2204 


2257 


2309 


2362 






27 


a4i5 


2573 


2626 


2679 


2732 


2784 


2837 


2890 






a8 


3943 


1^3 


3o48 


3ioi 


3i54 


3207 


3260 


33i2 


3365 


34i8 






29 


3471 


3576 


3629 


3682 


3734 


3787 


384o 


3893 


3946 




. 


8a 3o 


^6 


4o5i 


4io4 


4i57 


4209 


4262 


43i5 


4368 


4420 


4473 






3i 


4570 
5io6 


4632 


4684 


4737 


4790 


4843 


4895 


4948 


5ooi 






3a 


5o54 


5i59 


5212 


5265 


5317 


5370 


5423 


5476 


5528 






33 


558i 


5634 


5687 


5739 


5792 


5845 


5898 


5950 


6oo3 


6o56 






34 


6109 


6161 


6ai4 


6267 


6320 


6372 


6425 


6478 


653i 


6583 






35 


6636 


6689 
7216 


6742 


6794 


6847 


6900 


6952 


7005 


7o58 


7111 






36 


7i63 


7269 
7796 


7322 


7374 


7427 


7480 


7532 


7585 


7638 






37 


7691 


7743 


7849 
8376 


7902 


7954 


8007 


8060 


8112 


8i65 






38 


8218 


8271 


8323 


8420 
8956 


848 r 


8534 


8587 


864o 


869a 






39 


8745 


8798 


885o 


8903 


9009 


9061 


9114 


9167 


9219 






8a 4o 


927a 


9325 


9378 


9430 


9483 


9536 


9588 


9641 


9694 


9746 






4i 


916 0390 


9852 


99c,5 


9957 


♦010 


oo63 


oii5 


0168 


0221 


0273 




1 c_ 


4a 


o379 


o43i 


6484 


0537 


0590 


0642 


0695 


0748 


0800 






ia4 
i56 
ao8 


43 


o853 


0906 


0958 


ion 


1064 


iiTe 


■:^ 


1222 


1274 


1 327 






44 


i38o 


1433 


1 485 


1 538 


1591 


1643 


1749 


1 801 


i854 




45 


1907 


1959 


2012 


2o65 


2117 


2170 


2223 


2275 


2328 


238 1 






260 


46 


a433 


2486 


9539 
3o65 


2591 


'^644 


2697 


2749 
3276 


2802 


2855 


2907 




* 6 


3ia 


47 


a96o 


3oi3 


3iT8 


3171 


3223 


3329 


338 1 


3434 




7 


364 


48 


3487 


3539 
4066 

4592 


3592 


3644 


3697 


3750 


38o2 


3855 


3908 


3960 




a 


4t6 


49 
8a 5o 


4oi3 
4539 


4118 
4645 


4171 
4697 


4224 
4750 


4276 

48o3 


4329 

4855 


4382 
4908 


4434 
4961 


4487 
5oi3 




9 


468 




5i 


5o66 


6119 
5645 


5171 


5224 


5276 


5329 
5855 


5382 


5434 


5487 


5540 






5a 


5592 


5697 


5750 


58o3 


5908 


5961 


6oi36o66 






53 


6118 


6171 


6224 


6276 


6329 
6855 


6382 


6434 


6487 


653o,6592 
7066,7118 






54 


6645 


6697 


6750 


6802 


6908 


6960 


701 3 






55 


7171 


7223 


7276 


7329 
7855 


738i 


7434 


7486 


7539 
8o65 


7592'7644 






56 


7697 


7749 
8275 


7802 


7907 


7960 


8012 


81 18 8170 






?7 


8223 


8328 


838i 


8433 


8486 8538 


8591 


86448696 






58 


8740 
9275 


8801 


8854 


8907 


^ 


9012J9064 
9538 9590 


9117 


9169922a 






59 


9327 


9380 


9432 


9643 


9695 9748 1 




Nam. 


01234 56789 | Diff. | Diir.fcMuit. | 



LOGARITHMS OF NUMBERS. 



125 



12 3 4 



5 6 7 8 9 



Diir. 



DiCJtMalt. 



8350 

6i 
6a 
63 
64 

65 
66 
67 
68 

69 

8170 
71 
7a 
73 
74 

75 
76 
. 77 
78 
79 
8a 80 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

8290 
9' 

% 

9Z 
98 
99 
83 00 
ox 
oa 
o3 
04 

o5 
06 
07 
08 
09 
83 10 
II 
la 
i\ 
i4 

i5 
x6 

n 

x8 

'9 

Nim. 



• 9800 9B53 

917 o3a6 

o85a 

1378 

1903 

a4a9 
a954 
3479 
4oo5 



990619958 
o379o43f o484 
o957'ioio 
i483 i535 
aoo8ao6i 



0904 
i43o 
1956 

a48i 
3oo7 
353i 
4o57 



453o458a 

5o55 
558o 
6io5 
663o 
7i55 



a534 :2586 
3o59 3iia 
35843637 
4iio4i6a 
46354687 

5fo8 5i6o52i3 
5633 5685 5738 
6i58 6aio6a63 
6683 6735 6788 
730872607313 



7733 
8a57 
8730 878a 



7680 
8ao5 



93549307935994 



• 9779 
918 o3o3 
o8a8 
i35a 
1877 
a4oi 

a9a5 
344^ 
397: 
4497 
5oai 

5545 
6069 
6593 
7117 
7640 

8164 
8687 
9a 1 1 

9i96a58 



0781 
i3o4 
i8a7 
a35o 
3873 

3396 
3919 
444a 
4965 
5488 



7785 
83 ro 
8834 



983i 

o356o4o8 
08800933 



i4o5 
1931 
345 

3978 

35o3 

4o36 

455o46o: 

5o74 



1457 
1081 
2606 

3o3o 
3554 
4078 
3 
5126 



5598 
6122 
6645 
7169 
7693 
8a 16 
8740 
9263 



973497879839989 



o3io 

o833 
1 356 
1880 
24o3 
3926 



397a 



5017 
5540 



6010606a 



6533 
7055 
7578 
8100 

86a3 

9145 

• 96&7 

9300189 



6585 
7108 
763o 
8i53 



0711I0763 



7837 
8363 
8887 

13 



565o 
6174 
6698 

7331 
7745 

8369 
8792 



o363 



0886 
1409 
1933 
3455 
3978 

3449|35oi 



4o34 



44944547 



5069 
5593 

61 15 
6637 
7160 
7683 
83o5 

8737 



8675 
9'97 

9719I9771 
034 1 



0394 
0816 



♦on 
0537 
io6a 
1 588 

3Il3 

3639 
3i64 
3690 
4ai5 
4740 

5365 
5790 
63i5 
684o 
7365 

7890 
84i5 
8939 
9464 



99369989 

o46i 

oo85 

I3IO 

3o34 
2558 



3082 
36o7 
4i3i 
4655 
5179 
5703 
6336 
6750 
7274 
7797 
8321 
8844 



93169368 

I 

6>4i5 



0938 
i46i 
i?84 
25o7 
3o3o 

3553 
4076 



5l33 

5644 



6690 

7313 

7735 
8357 

8779 



93499301 



0868 



o5i3 
io38 
i563 
2086 
361 1 

3i35 
3659 
4i83 
4707 
533i 

5755 
6379 
6803 
7326 
785o 

8373 
8897 
9420 
9944 
0467 

2037 
256o 
3o83 

36o6 
4128 



45994651 
5174 
56y7 

6167 6219 



674a 
7264 
7787 
83o9 

883i 
9354 



98349876 
03460398 



0930 



oo63 
0589 
iii5 
i64o 
3i66 

3691 
3317 
374a 
4a67 
4793 
53i8 
5843 
6368 



0116 
0642 
1 167 
1693 

3218 

2744 
3369 
3795 
4330 

4845 

5370 
5895 
6420 



68936945 



74x8 

794a 
8467 
8092 
9517 
♦04 1 

o566 
1090 
i6i4 
ai39 
3663 

3187 
371 1 
4a35 
475g 
5a83 

5807 
633 1 
6855 
7378 
7903 

8436 
894^ 
947^ 
9996 
o5i9 

1043 
i566 
3089 

36l'3 

3i35 

3658 
4i8i 
4703 
5336 
5749 
637a 



7470 

85ao 
9044 



95699621 

0094 

0618 



7317 

783o 7891 
8361-^' ' 



8884 
9406 
9928 
o45o 
0972 



5423 
5948 
6473 
6998 
523 

8047 
8572 

9097 



ii43 
1667 
2191 
37x5 

3340 
3764 
4a88 
481 a 
5336 5388 



586o 
6383 
6907 
743 1 
7954 

8478 
9003 
9525 
♦o48 
0572 

1095 
1618 

2l4l 

2664 
3187 

3710 
4233 
4756 



5279 533 
58oi " " 

6334 



679468466899695 



7369 
7891 
84i4 

8936 
9458 



0D03 
1034 



0169 
0694 
I330 
1745 
3371 

^796 
3322 

3847 
437a 
48984950 



0747 
1373 
1798 

3323 

2849 
3374 

3900 
4425 



5475 
6000 
6535 
7o5o7io3 



7575 

8100 
8635 



0146 

067 
1 195 
1719 
2244 
2768 

3293 
38i6 
4340 



91499202 
9674 9726 



0198 

0723 
1247 
1772 
2396 
3830 

3344 
3869 
4393 
7 
5441 



6960 
7483 
8007 

853o 



9^77 

OIOl 

0634 

1x47 
1670 
3193 

37x7 



3763 



7421 
7943 



8088 
9510 
♦o33 
o555 
1077 



0274 

VzU 

i85i 
2376 

3901 
3427 
3952 

4477 
5oo3 

5538 
6o53 
6578 



7638 
8x53 
8677 



035 1 

0775 
i3oo 
1834 
3348 

3873 

3397 
3931 
4445 

549? 



5913 
64366488 



70x2 
7536 
8059 

8583 



90549106 



9630 
ox53 
0676 

X200 

1723 
2246 
2769 



3239 3292 



38i5 



4285g(338 
4808 

5853 



4860 
5383 
5906 

63766428 



74173 

85i8 

9040 1 
9563 
oo85 
0607 
1x39 



59646017 



654x 
7064 
7588 

8X13 

8635 

91^ 
968a 

oao5 

0739 

353 
1775 
3398 

282 X 
3344 

3867 
4390 
4913 
5435 
5958 

648x 
70o3 
7526 



8570 

??^ 
9615 

oi37 

0659 

1181 



53 
106 
159 

313 
365 

3x8 

371 
424 
477 



I 


5a 


a 


io4 


3 


i56 


4 


ao8 


5 


a6o 


6 


3X3 


7 


364 


8 


416 


9 


468 



01234 56789 



Diff. 



Diir.4tMoH. 



126 



LOGARITHMS OP NUMBERS. 



Nam. 
8330 

21 
23 
23 
24 

25 
26 

27 

28 

29 

83 3o 
3i. 

32 

33 
34 

35 
36 

37 
38 
39 

83 4o 
41 
42 
43 
M 

45 
46 

47 
48 

49 

83 So 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

83 60 
61 
62 
63 
64 

65 
66 
67 
68 
69 

8370 

71 
72 

73 
74 

75 
76 
77 
78 
79 
Nun. 



3 4 



5 6 7 8 9 



0201233 

1755 
2277 
2799 
3321 



1285,1338 
18071860 
232912381 
285 1 1 2903 



1 39011 44a 
1912 1964 
2434^486 
2955 3oo8 



3373342534773529 



3842 3895 3947 
4364 44 1 6 4468 
48864938*4990 
540754595511 
5929598116033. 



3?99 
4521 
5o42 
5564 
6o85 



645o65o2;6554;66o6 
6971 703370767128 

7493754575977649 
801480668118,8170 
8535 8587186398691 

9056 9108' 9 1 60 

61566202 
1 
92 



0619067 



921009S 
0619 
if4o 

1661 
2181 
2702 

3222 
3743 

4263 
4784 
53o4 
5824 
6345 

6865 
7385 
7905 
8425 



63976449 
69176969 



7437 
7957 
^477 



8945 8997 9049 9101 



9465 

• 9?84 

92a o5o4 

^ 1024 

i543 

2o63 

2582 
3l02 

3621 
4i4o 

4659 
5l7Q 
5698 
6217 
6736 

7255 
7773 
8292 
8811 



93309381 



9236367 
o885 
i4o4 
1922 



1713 

2233 

2754 
3274 
3795 



0723 

1244 
1765 

2285 

2806 
3327 

3847 

43i5 4367 
48364888 



5356 
5876 



9517 
♦o36 
0556 
1076 
1595 

2If5 

2634 
3i54 
3673 
4192 

471 1 
523i 
5750 
6169 
6788 

73o6 
7«25 
8344 
8863 



5408 
5928 



7489 
8009 
8529 



44«o 
4940 
5460 
5980 
65oi 

7021 
7541 
8061 
858 1 



9560 < 
0088 ( 
0608 
1128 
1647 

2167 
2686 
3206 
3725 
4244 



4763 
5282 
58oi 
6321 



6839689 



0419 
0937 
1455 
1 974 



7358 
7877 
8396 
8915 
9433 



99009952 



0470 
0089 
i5o7 
2026 



4o5i 
4573 
5094 
56i6 
6137 

6659 

7180 
7701 
8222 
8743 

9264 
9785 
o3o6 
0827 



9212 
9733 
0254 
0775 
1296 1 348 



1817 
2337 
2853 
3379 



38993951 



9620 
oi4o 
0660 
1180 
16991751 



4472 

6o32 
6553 

7073 
7593 
8ii3 
8633 
9153 

9672 
0192 
0712 

1232 



22T9 

2738 
3257 



48i5 
5334 
5R3 
6372 



7929 
8448 
8967 



♦oo4 

0522 

io4i 
1559 
2077 



1869 
2389 
2910 
343i 



2271 
2790 
3369 



3777 3829 
42964348 



4867 
5386 
5905 
6424 
6943 



7410 746a 



7981 
85oo 
9018 



94859537 



oo56 
0574 
1093 
i6fi 
2129 



i546( 
2068 
2590 
3o6o3ii2 
3582 3634 

4io3 4i55 
4625 



1494 
2016 
2538 



5i46 
5668 



6189 6241 



6711 
7232 

7753 



82748327 
8796 " 

9317 

9838 

o358 

0879093 

i4oo 



192 1 

2442 

2962 
3483 
4oo3 

4524 
5o44 
5564 
6o85 
66o5 

7125 

7645 
8i65 
8685 



0764 
1283 
i8o3 

2323 

2842 
336i 
388i 
4400 



54: 
5957 



6995 

75i4 
8o33 
8552 
9070 



0107 
0626 
ii44 
i663 
2181 



467747294781 



5i_ 
5726 



99525 



6763 
7284 
7805 



936994: 



9B90994: 
o4i I 



1452 

1973 
2494 
3oi4 
3535 
4o55 

4576 
5096 
56i6 
61 37 
6657 

7177 
7697 
8217 

8737 



9724 9776 9828 
0244 



02' 

o8i6 
1 335 
i855 

2374 
2894 
341 3 
3933 
4452 



6069 



64766528 



7047 



756676 



8o85 
86o3 
9122 



95899641 



0159 
0678 
1196 
1715 

2233 



1599 i65i 
212112173 
26421 2695 
3i6432i6 
368613738 

4208*4260 



115303 
57725824 



629463466398 

6815,68676910 
7336 """ 
7857 
8379 



89008952 
9473 



21 
2 
6463 
0983 
i5o4 

2025 



oil 5 
io36 



3o66 
3587 
4107 



7388 
7910 
843 1 



7440 
796a 
8483 
9004 

95a5 
♦046 
o567 
1088 
556 1608 



2077 
2546 2598 
- - 3u8 



4628 

5r48,5200 
5668 5720 
6189I6241 
67096761 



7229 

7749 
8269 



87898841 
9205 9257 9309 9361 



960348 



0868 
i387 
1907 

2426 
2946 
3465 
3984 
45o4 



5490 5542 



18 

8i37 
8655 



1248 
1766 

2285 



3639369 
4i594: 

46804732 

' 5252 

5772 
6293 
68i3 



7281 
7801 
8321 



o4oo 
0920 

1959 
2478 

4o36 



5o23 
5542 
6061 
658o 

7099I7151 



5075 
5594 
6ii3 



658o 6632 6684 
7203 



7670 
8188 
8707 



91749226 



969397449796 



0263 
07300781 



i3oo 
1818 
2337 



1703 
2225 
2747 
3269 
3790 

43i2 
4833 
5355 
5876 



2129 
265o 
31^70 
I 
211 



7333 
7853 
8373 
8893 
94i3 



98809932 



0452 
0972 
1 491 
201 X 

253o 
3o5o 
3569 
4088 



4556 4608 



5i27 
5646 
6i65 



772a 
8240 
8750 
9278 



o3i5 
o833 
i35a 
1870 
2388 



01234 56769 



DtC 



Die It] 



53 

106 

>59 
aia 
a65 
3i8 
371 
4a4 
477 



52 



5a 
104 
i56 
208 
a6o 
3ia 
364 
416 



Dim Diflr.4tM«lt. 



LOGARITHMS OF NUMBERS. 



127 



Nam. 

8380 

8i 

83 
84 

85 
86 

87 
88 

«9 

8390 

98 
99 
84 00 
01 
02 
o3 
04 

o5 
06 

07 
08 

09 

8410 

II 

13 

i3 
U 

i5 
16 

17 
18 

*9 

8420 

ai 

32 
33 

a4 

35 

36 
27 
38 
39 

84 3o 
3i 

33 

33 
34 

35 
36 

37 
38 

39 



12 3 4 

923 3440 3493,3544 3596 2647 



3958 

3477 

^ 

5o3i 
5549 
6066 
6584 
7103 

7630 
8i37 
8655 
9173 
• 9690 

9340307 



40464098 



5o83 
56oo 

6rr8 
6636 

7i54 

7«7i 



8707 
9334 
974i 

o35o{< 

0734 0770 < 

1393 

I8IO 

3338 



1343 

1750 
3376 

3793 
33io 

3837 
4344 



4860491 

5377 
5894 
64io 
6937 697^ 
7444 ' 



54295481 
59465097 
6463 65i4 



7960 




46684? 



5x84 



631 



67306781 



7245 
7761 



8791 



• 9831 
9360336 



o85io903 

* i4i7 
i 1932 

► 2447 



i366 
1880 
3395 
391 



3010 
3538 



4564 46164668 4720 



61706333 



6688 
73o5 

7723 



8189824 



3845 
3363 
3878 
4395 

* 13 



80I3 



8476 8528 
9044 
956i 

0077 

0593 

IIOO 

162$ 

2t4l 

2657 

3173 
3688 



20 
5335 

5751 



7J97 
7813 



837683378379 



8843 



o387 



56 



3o63 
358o 



5i34 
5652 



3ii43i66 
363313684 
4i5o4303 



5i865338 
57045756 



6374 



6740 679^ 



7257 

7775 
8292 
8810 



8758 

9376 9337 
97939845 

o3io o363 
0838 



1 345 
1863 
3379 

3896 
34i3 



39303982 
4447 " 
4964 



5533 
6049 

6565 
7082 
7598 

8ii5 

863i 

90969^48 



65i4 
7o3o 
7547 

8o63 
858o 



9612 
0128 



1676 
3193 

3708 

3334 

3740 



43o4 4256 



4771 
5387 

58o3 
6366 63 18 



7864 



9366 9357 9409 9460 



i46o 
1983 
2498 
3oi3 



0879093 
1397 
1914 
2431 



2948 
3465 



9664 
0180 



0644*6960748 



1160 1212 



1728 
2244 



3276 

43o7 
4823 
5338 



5854 
636o 



66336885 
7348 



7915 



843o 
889^8945 



99249975 
0439 



0954 ioo5 



l530 

2o35 
255o 
3o64 



7369 

7827 
8344 
8862 

9379 
9897 

o4i4 

448 
1966 
2483 

3ooo 

35i7 
4o34 
455o 
5067 

5584 
6101 
6617 
7i34 
765o 

8167 
8683 

9199 
97i5 
0233 



1364 
1780 
2296 

27603811 



3327 
3843 



4359 
4874 
5390 

5905 
6421 
6936 
74oo 745i 
79^ 



8482 



95'^ 
♦027 



04900543 



io57 
1572 
2086 
2601 
3ii6 



5 6 7 8 9 

3699 2751 2803 2855 3907 
3217,3269332113373 3425 
3736 3787l3839'389ii3943 
425443o54357|44o9'446i 

4772 

5290 
58o8 



4823:4875492714979 



5341 
5859' 
6325 6377i 
68436895 
736i 74i3 



7878 



839684488499855 



8913 
943t 
9948 



o466o5i7 



oo83 

I$0O 

3017 

3534 

3o5i 
3568 



4o854i37 



46o3 
5119 

5636 
6i53 
6669 
7i85 
7703 

8318 
8734 
9351 
9767 
0283 



i83i 
3347 
3863 

337? 
3895 
4410 



5441 

5957 

6472 



8018 
8533 



904891 



0078 



1108 
1633 
3i38 
3653 
3167 



1539354455497 
5911 59636015 
64296481 6533 
69476098 
7464 75i6 



8965 



79307983 



io35 
1 552 
2069 
2586 

3io3 
3620 



4654 
5170 

5687 
6304 
6720 

7237 
7753 

8270 
8786 
930: 
9814 
o33i 

o85i 
J 367 
i883 
2399 
2915 

343o 
3946 
4462 



4936 4977 



5493 
59576008 



8585 

[OO 

95639615 



oi3<ioi8 



059306450696 



1160 
1675 



2704 
3219 



9017 



9483 9534 
♦ooooo53 



05690631 
1086 1 138 
1604 i655 



3173 
3689 

3306 

3723 

41894340 

4705 4757 



3I2I 

2638 

3i55 
3672 



5222 

5739 
6255 

6772 

780I 



6824687! 
189 7340 7392 

io5 7857 7908 



8321 
8838 
9354 



0902 
i4i8 
1934 
245o 
2966 

3482 

5029 
5544 



652465756627 



70397091 
7554 ^' 



80708121 



91 5i 
9667 



1311 
1736 



31893341 



3755 



8o34 

I 



0104 



5374 

5791 
63o7 



7857 

8373 
8880 
9406 
9870 9922 
o386o438 



0954 
1470 
1086 
2S02 
3oi8 

3534 
4049 
4565 
5o8o 
5596 

60606111 
6627 
7142 
7657 
8173 



76067657 



86368688 



9303 
9718 
0333 
0748 

1363 

1778 
3293 
a8o7| 



7o5o 
7568 



8o85 
86o3 
9130 
9638 
oi55 

0673 
1190 
1707 
3334 
2741 

3358 
3775 
4392 
4809 
532^ 

584*3 
635( 



I 

►3 
7908 

8435 
8941 
9457 
9973 
0490 

1006 

l522 

2o38 

2554 
3069 

3585 
4101 
4616 
5i32 
5648 

6i63. 

6678 
7194 
7709 
8334 

8739 
9254 
9770 
0284 
0799 

i3i4 
1839 
3344 
3858 



3270I3322 3373 



Dur. 



Dllt ic Hah. 



53 

104 

i56 
208 
260 

3l2 

364- 
4i6 



5i 
102 
i53 
2o4 
255 
3o6 
357 
408 
459 



01234 56789 



Diir. 



Diir.&Miiit. 



128 



LOGARITHUS OF NUMBBRS. 



Nom. 

8440 

4i 

42 

43 
44 

45 
46 

47 
48 

49 

84 5o 

5i 

52 

53 
54 

55 
• 56 

5? 
58 
59 

84 6o 
6i 

63 

63 
64 

65 
66 
67 
68 

69 
8470 
71 
7a 
73 
74 

75 
76 
77 
78 

79 
84 80 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

8490 
9' 

98 

99 

Nom. 



12 3 4 



926 342413476,3527 
3939 3990 4o42 
4455l4$o5 4556 
4968I50195071 
5482 5534,5585 



35^^30 
409J4145 



509760486099 
eSTi 656a 6614 
7025170767128 
753975907642 
8o53 8io58i56 826718259 



4608 

5l22 

5637 



6i5i 
6665 



4659 
5i74 
5688 



6202 
6716 



7170 723i 

7693 7745 



8567 
9081 



8618 8670 872 1 8773 

9i32'9i84'9235 9287 

• 9595 9646 9698I9740I9800 

►27 0io90i6o'o2ii 0263jo3i4 

0622 0674 0725 0777 0828 



927 



ii36|ii87 

i65o 

ai63 



2677 
8190 

3704 
4217 
47304782 



5243 



1701 

22l5 
2728 

3a42 

3755 
4268 



1239 
1752 
2266 
2780 



1290 
1804 
23i7 
283i 



5757 58o8 



6270 
6783 
7296 
7808 
83a I 

8834 

9347 

• 9859 

920 0372 

o885 

1397 
1909 
a422 
2934 
3446 

x?^ 
4471 

4983 

5495 

6007 

65i8 
7o3o 
7542 
8o54 
8565 



6321 
6834 
7347 
7860 
8373 

8885 
9398 



09360987 



5295, 



3a93|3344 

38o6 3858 

4320437 

4833*4884 

53465397 

5859.5910 

63726424 
68856937 

73987449 
7911I7962 
8424,8475 

89378988 
94499501 
9962|«oi3 
0475 o526 
io3d 



1 448 
1961 
2473 
2985 
3498 
4oio 

4522 

5o34 
5546 
6o58 

6570 
708 
7593 
8io5 



1 55 
2o63 
2576 
3o88 



i5oo 
2012 

2524 

3o37 

3549 

4o6i 4ii2 

45734624 

5o855i36 

5597,5648 

6109616016211 



66216672 
71337184 
76447696 
81568207 



8616.866887198770. 

9077 9128 91799230 9282 

• 9588 9640 9691 9742 9793 

929 0100 01 5i ;o202 0253 o3o4 

061 i|o662 0714 0765 0816 

xia3,ii74 iaa5 1376 1827 



16341685I17361787 
2i45;2i96|2247 2298 
a656 2707.2758 2810 
3167321832693321 
3678 3729 3780 3832 



i342 
i855 
2369 
288a 
3396 

3909 
4422 
4935 

5449 
5962 

6475 
6988 
7301 
8014 
85a6 

9039 
955a 
oo65 
o577 
1090 

i6oa 

21l4 

2627 

3i39 

36oo365i 



4i63 
4675 
5187 
5699 



6723 
7235 

7747 
8258 



1 838 
235o 
2861 
337a 
3883 



5 

I6S2 
4196 
4711 
5aa5 



6 



3733 
4a48 
4762 
5a77 
57895791 



42994351 



6a54 
6768 
7a82 



63o5 

681 

733: 



7 8 9 

37€r5 3836 3888 



48i4 
5328 
5842 



7796 7847 
83io836a 



88a4 

9338 

9852 

o366o4i7 

08790981 



8875 
938o!944i 9492 



1898 
1907 
a4ao 
2934 
3447 



896040 
4474 " 
4987 
55oo 
6018 



7552 
8o65 
8578 



0116 
0628 
ii4i 

i653 

ai66 

a678 

81^ 

376a 

42i5 
4727 



5751 
6268 



96871 
13 7385 



4865 
5379 
5894 



685764086459 



6974 



1^ 



69a a 

743674(88 
800a 
65i6 



7950 
8464 



893789789080 



9548 



9955«oo6oo57 



1444 
1958 
2471 
2985 
3498 



0468 
098a 

1496 
200Q 

2525 

3o36! 



o520 

io38 

i547 
2061 
2574 
3o88 



855o 36oi 



ia4o68 
4525 4576 
5o88 5o89 



555i 
6064 



56o3 
611 



4ii4 
46a8 
5i4i 
5654 



4i66 

4679 

519a 

5705 

661676318 



65366577663966806781 
70397090 7 U2 
" " -7655 



7603 

8ii6'8i67 

86398680 



90909143 



9608 9654 9706 9757 9808 



0167 



06800781 



1193 

1705 

2217 

2729 2780 
8298 
88o5 



90824 
8754 



4366 

4778 

5389 5390 



58o2 
68x4 



677468366877 



72867337 
77987849 
88108861 
8821:8873 



98449895 
o356o4tt7 
08670918 
18781439 

i889'i94i 
a4oi|3452 
3913 2968 
3428 8474 
89343985 



9193 



oai8 



1343 
1756 

3368 



7900 
84i3 
8938 



98339884943594869587 



9946 
6458 
0969 
1480 

lUl 

3oi4 
3535 
4o36 



0571 
io85 

1598 

3113 
3635 
8189 

3653 



7193 

7706 

831 

878^ 



1 

7244 

7757 



0370 

0783 

1295 

l^ 

2819 

2882 

3344 
3856 

4368 



4817 
48294880498 

534i 

5853 
6365 



539a 
5904 



78897440 



7951 
8468 
8975 



9998 
o5o9 
1020 
i532 

2o48 
2554 
3o65 
3576 
4087 



44o3 
4916 
543 1 
5945 



98370 
8788 

9344 9396 



0831 
o838 
1846 

i858 
3871 
3883 
8895 
8907 

4419 



5448 
5955 



64166467 
69286979 



7491 
8008 
85i4 
9036 



♦049 
o56o 
1071 
i583 

2094 
2605 
3ii6 
3637 
4i38 



12 3 4 



5 6 7 8 9 



Dili 



DifTJ&MalL 



5a 

104 
i56 
308 
360 

3l3 

364 

4i6 



I 


5i 


a 


loa 


3 


1 53 


4 


ao4 


5 


355 


6 


3ci6 


7 


357 


8 


408 


9 


459 



Difl*. DiflT. it Moh. 



8500 

oi 
02 
o3 
04 

o5 
06 

07 
08 

09 

85 xo 

II 

13 

i3 
i4 

i5 
16 

17 
18 

»9 
85 ao 
ai 
aa 
a3 
74 

a5 
a6 

a? 
a8 
29 

85 3o 
3i 

32 

33 

34 

35 
36 
37 
38 
39 

85 40 
4i 
4a 
43 
44 

45 
46 
47 
48 

49 
85 5o 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 

Nvm. 



LOGARITHMS OF NUMBERS. 



129 



Mnn. 



1 2 



939 4189 4Mo 4391 



47004751 



5aii 
57aa 
6a33 

6743 
7254 



. (73o5 
77647815 
8275 83a6 8377 



8785 



^29^9347 
98069857 



93o63i6 
o8a6 
i336 

i847 
a357 
a866 
3376 
3886 

4396 



4906 4957 



541 5 
5935 



64346485 

6944 
7453 
7963 
8473 
8981 

94909541 



931 oi 
1017 
i5a6 

ao35 
a544 
3o53 
356? 
4070 

4579 
5087 
5596 
6io4 
66ia 

7iai 



76297680 



8i37 
8645 
9153 

• 9661 
9330169 



0677 0738 



ii85 
1693 

2200 
2708 
33i5 
3733 
433o 



5a62 

5773 
6284 



6794684568966947 



8836 



o367 
0877 
i387 

1898 
2408 
2917 
3427 
3937 

4447 



8887 
9398 

o4i8 



5466 



59766027 



6536 



7' 
8oi4 
8523 
9032 



I 
♦o5o 
0559 
1068 

1 577 

2086 
3595 
3io4 
36i2 

4l2I 

463o 
5i38 
5647 
6i55 
6663 



7171 
7680 
8188 



9712 
0220 



1235 
1743 

225 

2759 
3266 

3774 
4281 



4802 

53i3 
5824 
6335 



735674077458 

786679177969 

"" 84288479 

89388989 



0928 0979 io3o 



i438 



2000 

25lO 



1949 

245o 

296830193070 
3478" ™ 
3988 



40394090 

449845494600 
5o58' ' ' 
55i7 



70467097 



7555 
8064 
8574 
9083 

9592 

OIOI 

0610 
iii« 
162I 

2x37 
2646 
3i55 
3663 
4172 



7222 
7731 



8747 
9204 9a55 



0271 

0778 
1286 
1794 

2302 
2809 

33i7 
3824 
433a 



3 4 

4343,4394 

48534905 

5364i54i5 

5875 

6386 



5 6 7 8 9 



5926 
6437 



94499500 
9959 ♦oio 
0469 0520 



1489 



3529 



50595 1 10 
5568 5619 



6078 
6587 



6129 
6638 

7i48 

7657 
8166 
8676 
9185 



01 52 
0661 
1170 
1679 
2188 
2697 
32o5 
3714 

4223 

473i 



4680 

51895240 
5697" -^ 
6206 
6714 



6765 

7273 

7781 

8239 8280 



7324 
7832 
834o 
8848 
93669356 

976398149864 



o32i 
0829 
i337 
1845 

2353 

2860 
3368 
3875 
4382 



i54o 



2o5i 
256i 



358o 



7606 
8ii5 
8625 
9134 

96439694 



0203 

0712 

I22I 
1730 

223a 

2748 
3256 
3765 
4a74 

478a 
5391 
5Z99 



5748 ,, 

6357 63o7 

6816 



0373 
0880 
i388 
1896 

34o3 
3911 
3418 
3936 
4433 



444544964547 
4956 5oo7 



54665517 



5977|6o38 6079 



7o5o 
756o 
80308071 
853o858i 
90409091 

9603 

01 13 

063a 

Il33 

1643 



955 
0061 
0571 
1081 
1 591 

aioa 
361 a 

3l3I 

363i 
4i4i 
465i 



5i6o53ii 



5670 
6180 



66896740 



7199 
7708 
8317 

8737 



9336 9387 9338 



9745 
0354 
0763 
1373 
1781 

3390 
3798 
33o7 
38i6 
4334 

4833 
5341 
585o 
6358 
6867 

7375 
7883 
8391 



9915 
o423 
0931 
1439 
1946 

3454 
3962 



653965906641 



2i53 
2663 
3172 
3682 
4192 

4702 



5721 
623i 



725o 73oo 



7759' 
8268 i 
8777 



o365 
0814 
i323 
i832 

234i 
2849 
3358 
3867 
4375 



5392 
5901 
6409 
6917 



7934 
8442 
8899 8950 
9407 9458 



9966 



0474 
0982 

'997 

25o5 

3oi2 

3469 3520 



3977 
4484I4535 



5o58 
5569 



7101 
761 1 
8122 
8632 
9142 

9653 
oi63 
0673 
ii83 
1694 

2204 
2713 

3223 

3733 

4a43 

4753 
5262 
5773 
6283 
6791 



7153 
7663 
8173 
8683 
9194 9345 

97049755 

03 140265 

0724 0775 



48o4 
53i3 
5833 
6333 
6843 

735 1 
7861 
8370 
8870 
9388 

9796I98479898 



7810 
83i9 
8838 



42944345 

4855 
5364 
5874 
6383 
6893 

74o2 
7912 
8421 
8930 
9439 



o356 
o865 
i374 
i883 

2391 

2900 
3400 
3918 
4426 



48844935 



5443 
595 
646o 
6968 



74367476 



7985 
8493 
9001 



♦017 
o535 
io33 
1 540 
2048 

2555 
3o63 
3571 



4027 4078 



4585 



45984649 



5109 
5620 



6i3o6i8x 
669a 

7203 
77i3 
8224 
8734 



1234 
1745 

2255 

3764 

3374 
3784 



0407 



i425 
1933 

2442 
2951 
3460 
3968 
4477 



4986 
5494 

6002 
65ii 
7019 

7537 
8o35 
8544 
9053 
9509956096 

0067 
0575 
io83 
1 591 
3099 

36rj6 
3ii4 

363 T 

4ia( 



4130 

4636 



5i6o 
5671 



1385 
1796 

a3o6 
a8i5 
3335 
3835 



o4i 



09160967 



1475 
1984 

2493 
3oo3 
35ii 
4019 
45a8 



5o36 
5545 
6o53 
656a 
7070 

7578 
8086 
8594 
910a 
"10 



0118 
0636 
i34 
i64a 
a 149 

3657 
3f65 
3673 
4i8o 
4687 



01234 56789 
17 



Diir. 



5i 



Difll 



Diir.4fcMalU 



I 


5i 


a 


loa 


3 


i53 


4 


ao4 


5 


355 


6 


3o6 


7 


357 • 


8 


408 


9 


459 



5o 
100 
i5o 

300 

35o 
3oo 
35o 
400 
45o 



DiCicMiih. 



190 



LOGARITHMS OF NUMBERS. 



Num. 

8500 

6i 
6a 
63 
64 

65 
66 
67 
68 

69 

8570 

71 

72 
73 
74 

. 75 
76 
77 
78 
79 
85 80 
81 
82 
83 
84 

85 
86 

b7 
88 
89 

8590 
9' 
9^ 

94 

96 
97 
9« 
99 
8600 
01 
oa 
o3 
04 

o5 
06 
07 
08 

09 

8610 

II 

13 

i3 

14 

i5 
16 

17 
18 

19 

Num. 



12 3 4 



63io636i 
6817 



•32 4738 
5a45 
575a 
6259 
6767 

7274 
7781 
8a88 

8795 
9301 

• 9808 
933o3i5 

08a a 
i328 
1 835 

a34i 
a848 
3354 
386o 
4367 

4873 
5379 
5885 
6391 
6897 
. 74o3 

2n 

8920 
9426 

• 993a 
9340437 

0943 
1448 
1953 

2459 
3964 
3469 
3974 
4479 
4985 
5489 

6499 
7004 

75oo 
801 3 
85i8 
9023 
9527 
935oo3a 
o536 
io4o 
1 544 
2049 

a553 
3o57 
356i 
4o65 
4569 



4788 
5396 
58o3 



5346 
5854 



686869] 



7324 
783i 
8338 
8845 
935a 



5397:5448 

59045955 

64 1 a 646a 

196969 

7426'7476 

7933j7983 

b389844o|849o 

945319504 



7375 
788a 



88908947'i 



9859 9910 



o366 
087a 
1379 
1 885 

a39a 
3898 
34o5 
391 1 
4417 

4923 
543o 
5936 
6442 
6948 

7454 

I'M 

8971 
9477 

9982 
o488 
0993 
1499 
aoo4 

a5o9 
3oi5 
35ao 
4oa5 
453o 

5o35 
5540 
6045 
655o 
7054 

7559 
8064 
8568 
9073 
9578 

0082 
o586 
1091 
1595 
2099 
2603 
3 107 
36ii 
4ii5 
4619 



0416 
0923 
1 436 
1936 

2443 

29493060 

3456 

396: 

4468 



483948904941 



9960*01 1 
o467!o5i8 
0974:1024 
i48oi53i 



4974 
5480 



59866037 



6492 
6998 

7504 
8010 
85i6 
9021 
9537 

♦o33 
o538 
io44 
1 549 
ao55 

a56o 
3o65 
3570 
4075 
4580 

5o86 
5590 
6095 
6600 
7io5 

7610 
8ii4 
8619 
9123 
9628 

Ol32 

o637 
ii4i 
i645 
21 5o 

2654 
3i58 
3662 
4166 
4670 



1987 ao37 



2493 
3ooo 
35o6 
401 a 



2544 
3o5o 
3557 
4o63 



45194569 

5075 
558 1 
6088 
6594 
7099 



5oa5 
553 1 



6543 
7049 

7555 
8061 
8566 
907a 
9578 

oo83 
0589 
1094 
1600 
aio5 

a6io 
3ii6 
36a I 
4ia6 
463 1 

5i36 
564i 
6i46 
665 1 

7i55 

7660 
8i65 



9174 
9678 

oi83 
0687 
1191 
1696 
aaoo 

2704 
3208 
3719 
4216 
4720 



7605 
8111 
8617 
91 a3 
96a8 

01 34 
0639 
ii45 
i65o 
ai56 

a66i 
3i66 
3671 
4176 
468a 

5187 
5691 
6196 
6701 
7ao6 

7711 
8ai5 



86698730 



9334 
9729 
oa33 
0738 
ia4a 
1746 
aa5o 

2754 
3a59 
3763 
4266 

4770 



65i3 
7oao 

7527 
8o34 
854i 
9048 
9555 

0063 
o568 
1075 
1 58a 
ao88 

3595 
3ioi 
36o7 
4ii4 
4630 

5i36 
5632 
6i38 
6644 
7i5o 

7656 
8162 
8668 
9173 



6057 
6564 

7071 

7578 
8o85 
8592 



0112 
0610 
1 1 30 
i633 
3139 

3645 
3i53 
3658 
4i64 



46704721 



5177 
5683 
6189 
6695 
7201 

7707 

8313 
8718 
9224 



96799729 



0184 
0690 
II95 
1 701 
2206 

27II 
3217 
3722 
4227 
4732 

5237 
5742 
6247 
6752 

7256 



776: 
8266 



9779 

0284 
0788 
1292 

J 797 
33oi 

38o5 
3309 
38f3 
43i7 
4821 



6 

5o42 



55495600 



6107 
6614 

7132 
7631 

8i3< 
8643 



0730 0771 



oi63 
0670 
1176 
i683 

3189 334o| 3391 



3696 
3303 
3709 

42i5 



0335 
074( 
1346 
1751 

3257 

3763 

3367 

3772 
4277 

4783 
5387 

5792 
6397 
6803 
7307 



7813 
83i6 
877088.31 



o334 
o838 
i343 

i847 
a35i 

2855 
3359 
3863 
4367 
4871 



7 
5093 



8 9 



5i44 
565 1 
6i58 
6665 

7172 

767- 

81 

8693 

9200 

9707 

0214 



2746 
3253 
375o 
4265 
4772 
5278 
5784 
6290 



67966846 



079 
1296 
1802 
a3o7 

2812 
33i8 
3823 
4328 
4833 

5338 
5843 
6348 
6853 

7357 

7862 
8367 
8871 



9375 93a5 9376 9436 9477 



983098809931 



o385 
0880 ( 

1897 
240? 



5194 
5703 
6309 
6716 
7333 

773o 



8744 
9351 
9758 

0364 



1337 
1733 



5337 
5733 
6339 
6745 
735i 

7757 
8363 
8769 
9374 
9780 

0386 o336 



2797 
33o3 
38io 
43i6 
4833 

5338 
5834 
6341 



7363 

7808 
83i3 
8819 
9335 
983 1 



0843 

1 347 
1 853 
3358 

3863 
3368 
3873 
4378 
4884 

5388 
6893 



7408 

79" 2 

84i7 
8933 



0435 
0939 
1444 
1948 
3453 



3956 
3460 
3964 
4468 



3906 
3410 
3914 
44i8 
4922 4972^50: 



1378 
1784 



7353 

7858 
8364 
8870 
9375 
9881 

o387 
0893 
1398 
1903 
3408 

2914 
3419 
3924 
4429 
4934 

5439 
5944 



63986449 
69036954 



7458 

7963 
8468 
8972 



9981 

o485 
09390990 



1494 
1998 

2502 



3oo6 
35ii 
4oi5 
45i8 
22 



12 3 4 



5 6 7 8 9 



Dilt 



DUr.iL Huh. 



5i 

I03 

1 53 
ao4 
a55 
3o6 
357 
408 
459 



5o 

100 
i5o 
aoo 
sSo 
3oo 
35o 
4oo 
45o 



DiflT. DiflT. k Mvh. 



LOGARITHMS OP NUMBBRS 



131 



Norn. 

8620 
II 

33 

a4 

25 

36 

29 

86 3o 
3i 

32 

33 

34 

35 

36 

3? 
38 
39 

86 4o 
4i 

42 

43 
44 

45 
46 
47 

48 

49 

86 5o 

5i 

52 

53 
54 

55 

56 

5? 
58 
59 

86 6o 
6i 

62 

63 
64 

65 
66 
67 
68 

8670 

71 
7a 
73 
74 

75 
76 
77 
78 
79 



0^ 

935 5073 

5576 

6080 

. 6584 

7087 

7591 
8095 
8598 
9101 
• 9605 

9360108 
061 1 
iii4 
1617 

31 20 

2623 
3126 



12 3 4 5 6 7 8 9 DifT. 



DUr^tMulL 



5i23 
5627 
6i3i 
6634 
7i38 

7641 
8145 
8648 
9152 
9655 

oi58 

0661 

i65 

668 

2171 

2674 

3i77 



3629 3679 



4i32 



4182 



46354685 



5i37 
564o 
6143 
6645 
7148 



6193624362936344 



6695 
7198 



765o 7700 775o 7801 

" ■ 83o3 

88o5 



8i52 

8655 

9157 

• 9659 

937016! 
o663 
ii65 
1667 
3169 

2671 
3172 
3674 
4176 
4677 

5i79 
568o 
6182 
6683 



573i 
6232 
6733 
71847235 

76867736 



♦ 9^9740 



9380191 
0692 
X193 
1693 
3194 

2695 

•3195 

3696 



4697 



5173 

5677 
6181 
6685 
7188 

7692 
8195 



86998749 



9202 
9705 

0209 
0712 

I2l5 

1718 
2221 



3227 
3730 
4233 
4735 



5i88 
5690 



8203 
8705 
9207 
9709 
021 1 
0713 

I2l5 

1717 
2319 

2721 

3223 

3724 

4226 

4728 



5224 

5728 

623i 



67356785 
7239 

7742 
8246 



9252 



97569806 

0259* 
0762 
1265 



1768 
2271 

27342774 



3277 
3780 
4283 
4786 



5238 5288 



5741 



6746 
7248 



8253 
8755 
9257 



0261 



1265 
1767 

2' 



5229 5279 5329 



5781 
6282 
6783 
7285 



8187823782878337 

8688 8738 8788 8838 
9189 9239 9289 9339 9389 



0241 
0742 
1243 
1744 
2244 

2745 
3245 
3746 



4747 



9790 
0291 
0792 
1293 
1794 
2294 

2795 



4196 4247 4297 4347 4397 



5791 



7298 



97599810 



o3i2 



07640814 



i3i6 
1818 



26923x9 

2771 
3273 
3775 
4276 
4778 



2821 
3323 
3825 
4326 
4828 



583 1 
6332 



5274 

5778 
6282 



7289 

7792 
8396 



o3o9 
0812 
i3i6 
1819 

2322 
2825 

3327 
383o 
4333 
4836 

5338 
584i 



67966846 



7349 

785i 
8353 
8855 



9307 9358 



o362 



i366 
1868 
2370 

2871 
3373 
3875 
4376 
4878 

538o 
588i 
6382 



68346884 
7335 7385 



77867836 



7886 

8387 
8888 



9840 

o34i 
0842 
1 343 
1844 
2344 

2845 



9890 

0391 
089a 
1393 
1894 
2394 

2895 



329633463396 
37963846 3896 



479748474897 



5325 
5828 



6332 6382 
68366886 



73397390 



7843 
8346 
885o 



7893794379948044 



8397 



93539403 



89608950 



9856 

o36o 
o863 
i366 
1869 

3372 

2875 
3378 
388i 
4383 
4886 



99^7 



09130963 



o4ioo46oo5zi 
ioi4 
i5i7 
2020 

2523 



i4i6 
1019 
3422 

2925 
3428 
3931 
4434 



2975 
3478 
3981 
4484 
49364987 



538954395489 



5891 



6394644464946545 
7047 
755o 

8o52 
8554 
9o56 



689669476997 
739974497499 

7901 795 1 8002 
84o3 



7951 
8454 
89068956 
9408 '"^ 
9910 



o4i2 
0914 
i4i6 
1918 
2420 

2922 
3423 
3925 
4427 
4928 

543o 
5931 
6432 



7435 



9440 
9941 

o44i 
0942 
1443 
1944 
2445 

2945 
3446 



4447 
4947 



5375 
5879 



5425 
5921 
643: 
69366987 



8447 



945495049554 



5942 



9458 
9960 

0462 

0964 

1466 

I 

2470 

2972 
3474 
3975 
4477 

4978 

5480 
5981 

6483 



69346984 



7485 



79367986 
8437 " '"" 



999' 
0492 
0992 
1493 

2495 

2995 
3496 



4497 



I? 648? 



7440 



8497 
9001 



9957 



i466 
1970 
2473 



5992 



85o4 
9006 
9508 
♦010 

o5i3 
ioi5 
i5i6 
2018 

2520 
3022 

3524 
4025 
4527 
5028 

553o 
6o3f 
6533 
7034 
7535 

8037 
8538 



8939 8989 9039 9089 91 39 



9490 9540 



♦o4i 

o542 
1042 
1 543 
2044 
2545 

3o45 
3546 



5476 5526 
6o3o 
6533 

7037 
7541 



641 
69J 
7490 



6548 
905 1 



♦007 



oo58 

o56i 
1064 
i567 
2070 
2573 

3076 



3026 
3529 3579 



4o3i 
4534 
5o37 

5540 
6042 



4082 
4584 
5087 

5590 
6092 
6595 

7097 
7600 

8102 
8604 
9107 



0091 

0592 
1093 
1593 
2094 
2595 

3095 
3596 



3946399640464096 



4547 4597 4647 



4997'5o47'5o97 



95599609 
0061 

o563 
io65 
1 567 
2069 
2570 

3072 
3574 
4075 

4577 
5079 

558o 
6082 
6583 
7084 
7585 

8087 
8588 



o6i3 
iii5 
1617 
2119 
2621 

3l22 

3624 
4126 
4627 
5129 

563o 
6i32 
6633 
7134 
7636 

8137 
8638 



95969640 



oi4i 

0642 
ii43 
1643 
2144 
2645 

3i45 
3646 
4i46 



5i47 



5i 
102 
i53 
204 
255 
3o6 
357 
408 
459 



5o 
100 
i5o 
200 
25o 
3oo 
35o 
4oo 
45o 



01234 56789 Dim 



XMAJtllalt. 



132 



LOGARITHMS OP NUMBERS. 



Naok 

8680 

8i 

83 

S3 
84 

85 
86 

87 
88 
89 

8690 

9» 
92 

97 
98 
99 
8700 
01 
oa 
o3 
o4 

o5 
06 

07 
08 

09 

8710 

II 

/ 13 

i3 
i4 

i5 

16 

17 
18 

«9 

8730 

21 

33 

33 

a4 

35 

36 

27 

38 
39 

8730 

3i 
3a 
33 
34 

35 
36 

37 
38 
39 

Nam. 



0_ 

•38 5197 
5698 
6198 
6698 
7198 
7698 
8198 



12 3 4 



57486798 
63486298 

6798 



6748 
7^48 

7748 



9198 

• 9698 

9390198 

0697 

1697 

3196 

2696 

?i95i 



5247;5a97 5347 5397 



7398 
7798 



82488398 
87488798 
9248 9398 
97489798 



oa48 

0747 
1247 

1747 

3246 

a746 
3245 



3695.3745 
419414244 
4693 4743 



5193 
569a 
6191 
6690 
7169 



8187 
8685 



524a 
5742 
6a4i 
6740 
7339 

7738 
8237 



87358785 



918493349384 



9683 9733 



9400182 
0680 

1179 

1677 
2176 

2674 
3172 
3670 
4169 
4667 

5i65 
5663 
6161 
6659 
7157 

7654 
8i52 
865o 
9147 
• 9645 

941 oi4a 
o64o 
ii37 
i635 
ii3a 

3639 
3i36 
3633 

4l30 

4617 



023 1 



0730 0780 o83o 



0398 
0797 
1297 

1797 
3396 

3796 
3395 
3795 
4294 
4793 

5393 

5792 
6291 
6790 
7289 

7788 
8286 



1229 
1737 
3335 

3734 

3222 
3720 
4218 

4717 

52i5 
5713 
6211 
6709 
7200 

7704 
8202 
8700 

9695 

0192 
0600 
1187 
1684 
3183 

3176 
3673 
4170 
4667 



5848.5808 
6348 6308 
68486898 
73487398 

7848 7898 
8348 8398 



8848 



8898 



9348 9398 
-^-9898 



9783 
oa8i 



o348 
0847 
1 347 
1847 
2346 

2846 
3345 
3845 
4344 
4843 

5342 
584i 
634i 
684o 
7339 

7837 

8336 

8835 

9334, 

9833988 

o33i 



1278 

1777 
2275 

2774 
3272 
3770 
4268 
4766 

5264 
5762 
6260 
6758 
7256 

7754 
8252 



9247 
9744 

o34a 
0739 
1337 
1734 

333l 

3739 
3236 
3733 
4330 
4717 



1 338 
1827 

2325 

2823 

3322 

3820 
43i8 
48i6 

53i4 
58i2 
63 10 
6808 
7306 

7804 
83oi 



87498799 



0202 
0780 
1286 
1784 
338 



3778 
3375 
3773 
4270 



9297, 
97949844 



o34i 
0839 
i336 
834 
333i 



3838 
3335 

3833 

43io 
47664816 



S 6 7 8 9 

5598 



5447 
5948 
6448 
69486998 



7448 

7948 
8448 



8948 8998 9048 



9448 
9948 

04480498 



0947 
1447 
1947 
3446 

2946 
3445 
3944 
444A 
4943 

5442 
5941 
644o 



0997 
M97 

2496 

39963045 
3495;3545 
3994*4044 
4494'4544 
49935043 

5492 1 5542 
5991,6041 
64906540 
6989:7030 
74887538 

7937 7987:8037 
84368486,8536 
8935 



54i4 
591a 
64io 



74o5 



5497,5547 
59986048 
64986548 



7498 

7998 
8498 



7048 
7548 

8o48 
8548 



9498 
9998 



9548 
♦048 

o548 
1047 
1 547 
ao46 
a546 



6098 
6598 
7098 
7598 

8098 
8598 
9098 



95989648 
0098 "^ 



94349483 
9933 

o43i 
0930 
1438 
1936 
3435 



8985,9035 9084 



3933 
3431 

3030 

44i8 
4916 4966 



o48i 

1478 
1976 
a475 
2973 
3471 

446? 



5464 
5962 
646o 



69086957 



7455 



93969446 
98949943 



o44i 
0938 
i436 
1933 



2927 
3425 
3923 
4419 
4910 



9533 9583 9633 



♦o33 

o53 

1039 

1528 



25a4 

3o33 
35a I 
4019 
4517 
5oi5 

55i3 
6011 



7007 
75o5 

8oo3 



7953 
845i 

894889989048 

'"•94969545 

9993 



0491 
0988 
i485 
1983 



38o 343o 3480 353o 



2977 



3971 
4468 
4965 



5648 
6148 
6648 
7148 
7648 

8i48 
8648 
9148 
9648 
01 48 

o648 

m47 

647 

ai46 

5963646 

3i45 
3645 
4i44 
4643 
5i43 

5643 
6i4i 
664o 
7i3o 
7638 

8i37 
8636 
9134 



0083 



Ol33 



1079 
1 577 
3036 3076 a 
■ 2574 

3073 
3571 



40694 
4567 - 
5o65 

5563 
6061 



650965596609 



8o53 



85oo855o86oo 
9595 



o54o 
io38 
i535 

3033 



3o37 



3474 3534 



403I 

45i8 
5oi5 



o58o|o63o 
II 39 
1627 

136 

3634 

3l33 

3631 

4617 
5ii5 

56i3 
6111 



7057 7107 
75557605 



8103 



♦0430093 



0590 
1088 
1 585 
3083 
3579 

3o77 
3574 
4071 
4568 
5o65 



1 2 



5 6 7 8 



DiflT. 



5o 



DiflldtMoh. 



5i 

I03 

i53 
3o4 
355 
3o6 
357 
4o8 
459 



5o 
100 
i5o 

300 

tf5o 
3oo 
35o 
400 

45o 



Diff. Dir.JtMvh. 



LOGARITHMS OF NUMBERS. 



N«. 12 3 4 

9740 

4i 
4a 
43 
44 



5 6 7 8 9 DiiT. 



133 



Diflr.4tMa1t. 



45 
46 

47 
48 

49 

8750 

5i 

52 

53 

54 

55 
56 

57 
58 

59 
8760 
61 
62 
63 
64 

65 
66 

67 
68 

69 

8770 
7> 

73 
74 

75 
76 
77 
78 
79 
8780 
81 
82 
63 
84 

85 
86 

87 
88 

89 

8790 

91 

98 
99 

Nui. 



94i5ii4 

56ii 
6108 
66o5 
7101 

7598 
8095 

8r 



5 164 

566i 
6i58 
6654 
7i5i 

7648 
8144 
864i 
9137 



7697 
8194 

, , 9^7 
• 958496349683 



9420081 
o577 
1073 
1569 
2o65 

2562 

3o58 
3553 
4o4< 
454! 



01 3o 



0626 0676 07: 



l?1S? 



5o4i 
5537 
6o32 
6528 
7«>a4 

7519 
8oi5 
65io 
9005 
9501 

!,9?96 

9430491 

0986 

i48i 

1976 

a47i 
2966 
3461 
3056 
445o 

4945 
5440 
5934 
6429 
6923 

7418 
7912 



5! 
6082 
6578 
7073 

7569 
8064 
856o 
9055 



9550 9600 9649 9699 



944 



0877 
1 371 
i865 

9358 

2852 

3346 
384o 
4333438: 



52i4 
571 1 



5760 
6207 6257 
670467546803 
7201 



018002: 



123 

I6I9 

2113 
261 1 

3i07 
36o3 



1 172 
1669 
2i65 

2661 
3i57 
3653 
4149 
4644 

5i4o 
5636 
6i32 
6627 
7123 

7618 
81 14 



860986598708 



9104 



♦045 
o54i 
io36 
i53i 
2026 

2521 

3oi6 
35i 
4oo5 
45oo 

5469 
6sr73 

7467 

7961 



84o68456 
8950 
9444 



7250 
7747 



82448293 



8740 
9237 
7733 



1222 
1718 
2214 

2710 
3206 
3702 



41984248 
4694 ' " 

5190 

5686 

618 

6677 

717^ 

7668 
8i63 



91549204 



0095 
oSoo 
io85 
i58o 
2075 

2570 
3o65 
356o 
4o55 



5o44 
5539 
6o33 
6528 
7022 

75i7 
801 1 
85o5 



949 
0482 



o432 
0^260976 

1470 
1963 

M57 
2951 
3445 
3938 
4432 



5263 53i3 



58io 
63o7 



73oo 

7797 



8700 
9286 
9783 



2290279 

7200775 



1272 
1768 
2264 

2760 
3256 
3752 



4744 

5239 
5735 
623 1 
6726 
7222 

7717 
8213 



0144 
o64o 
ii35 
i63o 

2125 

2620 
3ii5 



4io4 



4549^45994648 



5094 
5588 
6o83 

6577 
7072 



8060 
8555 
994^ 



♦o37 
o53i 

1025 

i5io 
201 S 

25o7 

3ooo 

34. 

3988 

448i 



0194 
0689 
i84 
1679 
2174 

2669 
3i64 



36093659 



41 54 



5i43 
5638 
6i32 
6627 
7121 



75667615 



8110 
8604 
9098 
9592 

0086 
o58o 
1074 
i568 
2o6a 

2556 
3o5o 
3543 
4o37 
453i 



6853 
735o 

7846 
8343 
884o 



6qo3 
7^99 



789679467995 



83a3 
888< 



9336931 
9832 " 



0329 
0825 

l32I 

1817 

23i3 

2810 
33o6 
38oi 
4297 
4793 
5289 
5785 
62806330 



0378 
0875 0924 



l37I 
1867 
2363 

2859 
3355 
385 1 
4347 
4843 

5339 
5834 



6776 
7271 

7767 
8262 
8758 
9253 



6895 
7321 

7816 
83i2 
8807 
93o3 



9748 9798 9847 9897 9946 



0244 
0739 
1234 
1729 
2224 

2719 
3214 
3708 
42o3 



5192 
5687 
6182 



54121 



5363 
586o 
6356 64< 



!| 5462 55 1 2 

'i5( 



641 
6952 



744974997548 



8442 



^98939 
186 0435 



943i 
9932 

0428 



1420 
1917 
241 3 

34o5 
3901 
4397 
4892 

5388 
5884 



6379 642< 
6875692! 



7371 



78667916 



836i 
8857 
9352 



0293 
0788 
1283 
1778 
2273 

2768 
3263 
3758 
4253 
4747 



5242 
5737 
623 1 
667667266775 
7220 



7170 

7665 
8159 
8653 
9148 
9642 

oi36 
o63o 
1 1 24 
1618 

^112 

2605 2655 
3i48 
3642 
41 



7714 
8209 
8703 

9'97 
9691 

oi85 
0670 
1 173 
1667 
2161 



65ol 
7002 



8492 
8988 



9485 9535 
9981 ♦o3i 

0478 0527 



0974 
1470 
1966 
2462 

3958 
3454 
3950 
4446 
4942 

5438 
5933 



84ii 
89068956 



9402 



o343 
o838 
1 333 
1828 

2323 

2818 
33i3 
38o7 
43o2 

4797 



7764 
8258 
8752 



9741 

0235 
0720. 

1223 

1716 
2210 



364 



3198 
3691 
4i85 



4629 4679 47^8 



5562 
6o58 
6555 
7o52 



8045 
8542 
9o38 



7420 



1 023 
1 520 
2016 

25l2 

3oo8 
35o4 
4000 
4496 
499» 

5487 
5983 

6479 
6974 
7470 

7965 
846i 



945i 



0392 
0887 
1 382 

1877 
2372 

2867 
3369 
3857 
4352 
4846 

5341 
5835 



5291 
5786 

62806330 

6824 

72697319 



7813 
83o7 
8802 



9246 9296 9345 



9790 

0284 
0778 
1272 
1766 
2260 



2704 2753 



3247 
3741 
4a34 



0442 
0937 
1432 
1927 
2422 

2917 
3412 
3906 
4401 
4896 

5390 
5885 
6379 
6874 
7368 

7863 
8357 
885 1 



9839 

o333 
0827 

l32I 

i8i5 
2309 

2803 
3297 
3790 
4a84 

4777 



1 


5o 


2 


100 


3 


i5o 


4 


200 


5 


25o 


6 


3oo 


7 


35o 


8 


400 


9 


45o 



147 
196 
245 

294 
343 
392 

441 



1 2 3 4 5 6 7 8 9 | Dig 



DiCicMvh. 



134 


LOGARITHMS OF NUMBERS. 1 


Niui. 
8800 


12 3 4 


5 6 7 8 9 


DiC 


Die Jt Malt. 


044 4827 4876 4925 4975 5o24 
532o,537o'54i9 5468 55i8 


5073 


5l23 5l72|5222 


527. 






OI 


5567 


56i6,5666|57i5 


5764 






02 


58145863159125962 6011 


6060 


6iio|6i59!62o8 


6358 






o3 


63o7;6356 64o6 6455'65o4 


6554 


66o3'6652 


6702 


6751 






o4 


6800 6850^6899 6948 6998 


7047 


7096 


7146 


7195 


7244 






o5 


7294,7343'7392 7442 7491 
7767 7836,7885 7935 7984 


7540 


7590 
8o83 


7639 


7688 


T7^f 






06 


8o33 


8i32 


8I8I 


833i 






07 


828083398379842818477 


8527 


8576 


8625 


8674 


8724 






08 


877388228872891118970 


9020 


906919118 


9167 


9217 






09 


9266:9315:936594149463 


95i3 


9562 


96.1 


9660 


9710 






8810 


• 9759'98o8J9858 9907I9956 


♦006 


oo55 


0104 


oi53o2o3 




I 


So 


II 


945o253|o3oi p35i o4oojo449 


0498 


o548 


0597 


o646 


0696 
1188 
1681 




2 


100 


12 
i3 


0745:o794'o843 0893:0942 
1238 1 287! 1 336, 1 386i 1435 


?Si 


io4i 
i533 


;??3 


1139 
i632 




3 
4 


i5o 
aoo 


14 


1730178018291878 


1928 


1977 


2026 


2075 


2ia5 


2174 




5 


35o 


i5 


2223 3272 2322 2371 


2420 


2469 


2519 


2568 


2617 


2667 




6 


3oo 

35o 

400 
45o 


16 


2716276528142864 


20l3 


2962 


3oii 


3o6i 


3iio 


3i59 




I 


17 


3208; 3258, 33o7 3356i34o5 


3455 


35o4 


3553 


36o2 


3652 




18 


3701 


3750; 3799 3849 
4243j4292;434i 


38q8 


3947 
4440 


44?9 


4o46 


U'. 


4i44 




9 


»9 


4193 


4390 


4538 


4637 






8820 


4686 


4735'4784'4834'4883 


4932 


4981 


5o3i 


5o8o 


5129 






21 


5178 


5227:5277 5326i5375 


542415474 


5533 


5572 


562! 






22 


5671 


572015769 58i8i5867 


5oi7!5966!6oi5i6o64 


6114 






23 


6i63 


6^i2|626ii63io|636o 


64096458 


65o7 


6557 


6606 






24 


6655 


6704.6753,6803 


6852 


6901 


6950 


7000 


7049 


7098 






25 


7147 


710,72467295 

7688773817787 


7344 


7393 


7442 


7492 
79»4 


7541 


8oS^ 






26 


7639 


7836 


7885 


7934 


8o33 






a? 


8i3i 


8i8o!823ol8279 


8328 


8377 


8426 


8476 


8525 


8574 






28 


8623 


8672 


87228771 


8820 


8869 


8918 


8968 


9017 


9066 






29 


9115 


9164 


92149263 


9312 


936i 


9410 


9459 


9509 


9558 






88 3o 


• 9607 


9656 


9705 9755 


9804 


9853 


^ 


9951 


♦000 


oo5o 






3i 

32 


9460099 
o5oi 
1082 


0148 
0640 


0197 
0689 


0246 

0738 


0296 
0787 


o345 
o836 


M43 
0935 


0492 
0984 


o54i 
io33 






33 


ii3i 


ii8f 


i23o 


1279 


i338 


1 377 


1426 


1476 


1 525 






34 


i574 


1623 


1672 


1721 


1 771 


1820 


1869 


1918 


.967 


2016 






35 


2066 


2Il5 


2164 


22l3 


2262 


a3ii 


236o 


2410 


2459 


25o8 






36 


2557 


2606 


2655' 2705 


2754 


2803 


2852 


3901 


2950 


^999 






37 
38 


3o49 
3540 


3098 
3589 


3147:3196 
363813687 


3245 

3737 


3294 
3786 


3343 
3835 


3S4 


3442 
3933 
442*4 


^; 






39 


4o3i 


4080 


4i3o4i79 


4228 


4277 


■4326 


4375 


4474 






88 4o 


4523 


4572 


4621 


4670 


4719 


4768 


4817 


4867 


4916 


4965 






4i 


5oi4 


5o63|5ii2 


5i6i 


5310 


5260 


53o9 


5358 


5407 


5456 




« ^'*^ 


42 


55o5 


555156o3 


5652 


5702 


575i 


58oc> 


5849 


5898 
6389 


5947 




I 


1 


43 


5996 


604560946144 
6536 6586.6635 


6193 
6684 


6242 


6291 
6782 


634o 


6438 




3 


44 


6487 


6733 


683 1 


6880 


6929 




45 


6978 


7027I 7077 7126 


7175 


7224 


7273 


7322 


7371 


74ao 




5 


^5 


46 


7469 


7518175687617 
800980588108 


7666 


77i5 


7764 


7813 


7862 


791 1 




6 


J94 


47 


7960 


8157 


8206 


8255 


83o4 


8353 


84o2 




7 


343 


48 

49 

88 5o 


845i 
8942 

9433 


85oo 
8991 

9482 


8549i85o8 
9o4o'9o69 


8647 
9i38 

9629 


8697 
9187 

9678 


8746 
9236 

9727 


8795 
9285 

9776 


8844 
9335 

9825 


8893 
9384 

9874 




8 
9 


39> 
441 


9531 


9580 




5i 


• 9933 


9972 


♦022 


0071 


0120 


0169 


0218 


0267 


o3i6 


o365 






52 


9470414 


o463 


o5i3 


o56r 


0610 


0659 


0708 


0757 


0807 


o856 






53 
54 


0905 
1395 


0954 
1444 


ioo3 
1493 


I052 

1 542 


IIOI 

1591 


ii5o 
i64o 


;^ 


1248 
1739 


;;s 


1346 
i837 






55 


1886 


1935 


1984 


2o33 


2082 


2l3l 


2180 


2229 


2278 


2327 






56 


2376 


2425 


2474 


2523 


2572 


2621 


2670 


2719 


2768 


3817 






57 


2866 


2915 


2965 3oi4 


3o63 


3112 


3i6i 


32IO 


3259 


33o8 






58 


3357 


3406 


3455 35o4 


3553 


36o2 


365 1 


3700 


3749 


3798 
4288 






59 
Nom. 


3847 3896I3945 3994 


4043 


4092 


4i4i 


4190 


4239 






12 3 4 


5 6 7 8 9 


Diir. 


DUtJtMsh. 



LOGARITHMS OF NUMBERS. 



135 



8860 

6i 
6a 
63 
64 

65 
66 

67 
68 

69 

8870 

7> 
7a 

73 
74 

75 
76 
77 
78 
79 
8880 
81 
82 
83 
84 

85 
86 

«7 
88 
89 

8890 
91 

98 

99 
8900 
01 
oa 
o3 
o4 

o5 
06 
07 
08 

09 

8910 

II 

12 

i3 
.14 

i5 
16 

17 
18 

«9 

Nun* 



1 

94T 4337 4386 4435 



4827 
5317 
5807 



5366 
5856 



6297 6346 

6787 
7277 
7767 
8257 
8747 



68366885 

7326 7375 
78167865 
83o68355 



9726977598249873 



8796884488938942 

9236 9285 9334 9383 9432 
9922 
o4ii 
0001 
1J90 

1879 
2369, 
2858 
3347 
3836 



9480215 
0705 
1x94 

1684 
2173 
2662 
3i5i 
364i 

4i3o 
4619 
5io8 
55o7 
6o85 

6574 
7o63 
7552 
8o4o 



0264 
0754 
1243 

1733 
2222 
2711 



4t70' 
4668 ' 
5i57 
5646 
6i34 

6623 

7112 
7601 
8089 



949 



0971 

i46o 
1948 
2436 
3924 
3412 

3900 
4388 



5364 
5852 

6339 
6827 
73i5 
7802 
8290 

8777 



* 9752 
950 023o 

0720 



I2l3 

I70I 

2188 
2675 

3i62 



o3i3 
o8o3 
1292 

1781 
2271 
2760 



3200 324< 
368937; 



4227 
4717 
52o5 
5694 
6i83 



85298578 
9018906691 



♦043 
o532 
1020 

i5o8 

2973 
3461 

443? 



4876 4935 



54i3 
5900 

6388 



92649313 

' 9801 

0288 

0775 



1262 

2236 

2723 
32 10 



2 3 4 

4533 



5 6 7 8 9 



4484 
487614925 4974 
— 54i5 ' - ' 

.5 



64446493 

69346983 

' "7473 
7963 
8453 



7424 
79>4 
84o4 



o362 
o852 
i34i 

i83o 

2320 
2809 
3298 

3787 



5254 

5743 

3 6232 



6&72 
7161 
765o 
8i38 
8627 

ii5 



9506955596049653 



0092 
o58i 
1069 

i557 
2045 
2534 

3022 

35io 



4973 
5461 
5949 



687669246973 



7363 
785! 
8338 

88268875 



741 a 
7000 
8387 



i3i 

1798 
2285 

2772 
3259 



5464 
5954 



5o23 
55i3 
6oo3 



42764325 



47654814 

■ " 53o3 

5702 

6281 



6721 
7210 
7608 
8167 



86768724 



9164 



oi4i 
0620 
1118 

1606 
2004 
2582 
3070 
3558 

4o46 
4534 

5022 

55io 



6437 64866534 



746i 
7948 
8436 

8923 
941 



9362 

o33?6385 
08240872 



i36o 
i847 
2334 
2821 
33o8 



6770 
7259 
7747 
8236 



9213 
9701 
0190 
0678 
1 167 

i655 
2143 
263i 
3ii9 
36o7 

4095 
4583 
5071 
5559 



59986047 



7022 
75io 

84S5 

8972 
9459 
9947 
0434 
0921 

i4o8 
1895 

2382 

2869 
3356 



63306379642J 

68196868 6916 

•^ -^ 74o5 

7804 

8382 

8871 



73o7 
7796 
8285 
8773 

9262 
9750 
0239 

0727 

I2l5 

1704 
2192 

2680 

3i68 
3656 

4i44 
4632 

5l20 

56o8 



6583 
7071 
7558 
8o46 
8533 

9021 



1457 
1944 
243i 
2918 
34o5 



4680 
5170 
566o 
6i5o6! 



6640 

7i3o 
7620 
8110 
8600 
9089 

2^ 

o558 
1047 
i537 

2026 
25i5 
3oo5 
3494 
3983 

447a 
4961 
545o 



7356 
7845 
8334 
8822 

9311 

0288 
0776 
1264 

1752 
224r 
2729 
3217 
3705 



609561446193 



6632 

711 

7607 

8095 

8582 

9069 



9508 9557 9606 



6463053 1 
0970 1019 



i5o6 
I 



2967 
3454 



4739 
5219 
5709 



71797228 
76697718 
81598208 
86498608 
91369187 

9628 9^7 



0117 
0607 
1096 
i586 

2075 
2564 
3o54 
3543 
4o32 

4521 
5oio 
54< 



o336 
0835 
i3i3 

1801 
2289 

2778 
3266 
3754 

4a42 

473o 
5217 
5705 



6681 
97168 
7656 
8143 
863i 

9118 



0093 
o58o 
1067 

1 554 
2042 
2529 
3oi6 
35o2 



4778 
5268 
5758 
6248 
6738 



6477 
6965 
7454 
7943 
843 1 
8920 

93609408 
98489897 



o385 
0874 
i362 

i85o 
2338 
3826 
33i4 
38o2 

4290 
4778 
52fi6 
5754 
6242 



7217 
77o5 
8192 
8680 

9167 



Ol42 
0629 
1 1 10 

i6o3 
2090 
2577 
3o64 
355i 



0166 
o656 
1 145 
i635 

2124 
2613 

3l02 

3592 

4o8i 

4570 
5o59 
5548 
6o37 
6525 

7014 
75o3 

8480 
8969 

9457 
9946 
0434 
0922 
i4ix 

l^ 

2875 
3363 
385i 

4339 
4827 
53i5 
58o3 
6290 



67296778 



7266 
7753 
8241 
8728 

9216 



9654 9703 



0190 
0678 
ii65 

i652 
2139 
2626 
3ii3 
36oo 



12 3 4 



5 6 7 8 9 



Diir. 



DilRJfcMiiIt. 



49 



147 
196 
345 
294 
343 
392 
44i 



48 

96 

i44 
192 
240 
288 
336 
384 
432 



Diff. 



DifT.JtMolt. 



136 



LOOABITHMS OF HVMBESS. 



Nam. 
W30 

31 
32 
33 

a4 

35 
36 

37 
38 

39 

80 3o 
3i 
3a 
33 

34 

35 
36 
37 
38 
39 

8940 
4i 
4a 
43 
M 

45 
46 
47 
48 

49 

89 5o 

5i 

53 

53 
54 

55 
56 

57 
58 
59 

8960 
61 
63 
63 
64 

65 
66 
67 
68 

69 
8970 
71 
73 
73 
74 

75 
76 
77 
78 
79. 
Num. 



01234 56789 



]Kff.4t] 



050 3649 
4i35 
4632 
5109 
5596 

608a 
6569 
7055 
7542 
8028 

85i5 

90UI 

9487 

? 9973 

951 0459 

0946 
1432 
1918 
3404 



3607, 
4184 
4671 
5i58 
5644 
6i3i 
6617 
7104 
7590 
8077 

8563 
9o5o 
9536 
♦022 
o5o8 



3375 
386i 

4347 
4832 
53i8 

58o3 
6289 
6774 
7260 
7745 

823o 

8716 

9201 

• 9686 

953 0171 

o656 
ii4i 
1626 

3III 

3595 

3o8o 
3565 
4049 
4534 
5oi8 

55o3 
5987 
6472 
6956 
7440 



3746 3705 



4233 



47204768 



61806338 

6715 
7301 
7688 
8174 



i4^ 
1966 
2452 
2938 

3424 



4381 



5206 
5693 



OODO 

71 53 
7639 
8136 

8612 

95I4 
0071 
o557 

1043 
1529 
301 5 
25oi 
2987 

3472 
39io'3958 
43o5i4444 
4881 14929 
5366.5415 

5852590I 
633716386 
68236871 



86608709 



5355 
5742 



3843 
433o 
4817 
53o4 
5790 

6377 
6763 

7350 
7736 
8333 



7308 
7794 
8279 



7357 
7842 

8327 



876418813 
9249 92< " 
97349783 
02190368 

0704,0753 
11891238 
1674I1723 
2 1 59' 2208 
2644:2692 

3 1 29*3 1 77 
36i 3,3662 
40984146 
463 r 
5ii5 



4582 
5067 

555 1 56oo 
6o36,6o84 
65206569 
7004I7055 
7489:7537 



7924797318021 
840984578505 



8893 

9377 
• 9861 

953o345 
0828 

l3l2 

1706 
3380 



9425'947 
99099957 

o44i 



0393 
0877 
i36i 
i844 
3328 



0925 
1409 
189! 
2376 



I023 

i5o6 
12 3 4 



5i64 



9195 

3 

6168 

o654 

f i4o 
1636 

2II3 
2598 

3o84 

3569 
4o55 
4541 
5o37 
55i3 



9«47 
9633 
0119 
o6o5 

1091 

1 577 
2o63 

2549 
3o35 

3531 
4007 
4492 
4978 
5464 

594^ 
6431 
6920 
74o5 
7891 

83768424 

8861 

9346 

9831 

o3i6 

0801 
1386 

1771 

2256 

2741 

3236 

3710 

4195 

4679 4728 



6483 
6969 

7454 
7939 



5212 



5648 5697 
613316181 
66176665 



7101 



75867634 



8070 
8554 
9o38 
9522 
♦006 



7i5o 



8ti8 
8602 
9086 
9570 
0054 



0490 o538 

0974 

1457 

1941 

2425 



3892 



43794427 
48664914 



5352 
5839 



6336637464336472 



6813 



73097347 
7785 7834 



8371 
8758 



9244 9^93 



9730 
0216 
0703 

1 189 
1675 
2161 
3646 
3i32 

36i8 
4io4 
4589 
5075 
556i 

6o46 
6532 
7017 
75o2 
7988 

8473 
8958 
9443 

o4i3 

0898 

i383 

I 

2353 

2838 

3323 

38<y7 
4292 
4776 
5261 

5745 
6230 
6714 
7198 
7682 

8167 
865 1 
9135 
9610 
oio3 

o587 
1070 
1 554 
3o38 

3522 



3941 



5401 

5888 



6861 



83ao 
8806 



836984178466 



0751 

1237 
1733 
2309 
3695 
3i8i 

3667 
4i52 
4638 
5i24 
5609 

6095 
658o 
7066 
755 1 
8o36 

8521 
9007 
9492 

9977 
o46a 

0947 
i432 
1917 
2401 
2886 



39894038 

44764535 

4963 

545o 

5936 



5oi3 

5498 
5965 



6530 

7007 

74457493 



6958 



7931 



8855 
9341 
9827 
o3i4 
0800 

1386 

1772 

2358 

2744 



80048953 

93909439 
08760935 



3715 

4301 

4687 

5172 
5658 



.4087 
4574 
5o6o 
5547 
6o34 



7980 



9876 
o362 



1 334 

1820 

33o6 

. 2792 

33393378 



3764 
435o 
4735 

5221 
5706 



992: 

o4ii 



08480897 



1 383 

235? 
2841 
3337 

38i3 
4398 
4784 
5269 

5755 



614361926340 
662y'6677 6726 
7ii4|7i63 72ii 



8570 
9055 
9540 
♦035 
o5io 

0995 
i48o 
1965 
245f) 
2935 

3419 
3904 
4^89 
4873 



8i338i83 

861J8667 
91049153 

95899637 
0074013a 
05590607 



3371 
3856 
4340 
4825 
5309.5358 



5794 
6278 
6762 

7247 
773 1 

83i5 
8609 
9183 
9667 
oi5i 

o635 
1119 
i6o3 
3086 
2570 



5842 
6326 
6811 
7295 

77797828 



8263 

8747 
9231 
9715 
0199 

o683 
1167 
i65i 
2i35 
2618 



io44 
1529 
2014 
2498 
2983 

3468 
3952 
4437 
4922 
5406 

5890 
6375 



1093 

1 577 
2063 
2547 
3o32 

35i6 
4ooi 
4486 
4970 
5454 



0348 
0732 

I2l5 

'^ 

2667 



5930 

6423 

685o6oo8 

734^ 7^92 



7876 

836o 
8844 
9328 



83i3 
8756 
9280 
97649813 



0396 

0780 
1264 
1748 
223r 
2715 



I 
3 
3 
4 
5 
6 
7 
8 

9 



147 
196 
245 
394 
343 
393 
441 



96 
i44 
192 
240 
388 
336 
384 
433 



6 7 8 9 



Diff. 



DifflJtlfvh. 



LOGABITBMS OF NUMBERS. 



137 



Nam. 

8980 

8i 
82 
83 
84 

85 
86 

87 
88 
89 

8990 

9' 
9a 

99 
9000 
01 
02 
o3 
04 

o5 

06 

07 
08 
09 

9010 
II 

13 

i3 
i4 

i5 
16 

17 
18 

19 

9020 

21 

22 

23 

U 

25 

26 

27 

28 
29 

00 3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

Ft am. 



12 3 4 



0532763 
3247 
3731 
4214 
4697 

5i8i 



2812 2860 
3295 3344 
3779 3827 
4262 43ii 
47464794 



2908 2957 
3392 3440 
3876 39^4 
4359 4407 
4842|4&9i 

5326 5374 
5S09 5857 



5229 5277 
5664^5712 5761 
6147I6196 6244 6292 634i 
663 1 16679 6727 6776 6824 
7ii4j7i62, 7210:7259 7307 

7597'7645 7694 7742 7790 
80:^08128817782258273 
8583 861 186608708 8756 
9046 90941 91 43 9191 9239 
9529 9577j96a5 9674 9722 

954 001 2 oo6o'oio8 01 57|02o5 
0494,0543 0591 'o639'o688 
0977I1025 1074 1 122I1170 
i46o'i5o8:i556i6o5i653 
1943,1991 30892087 2 1 36 

2618 
3ioi 
3583 
4o65 
4548 



2425|2473|2522!2570 

29081 2956' 3oo4 3o5 2 
339o|3438!3487i3535 



3873 392 
4355j44<>3 

48374885 
53i9'5368 
58o2|585o 
62846332 
67666814 



7248 
773o 
8212 
8694 



7296 
7778 
8260 
8742 



91769224 



>57 



9705 



955 0139 0187 
" 0669 



0621 
1102 
1 584 

2o65 
,2547 
3028 
35io 
3991 



39694017 
445i45oo 

493414982 
5416 5464 



5898 
638o 
6862 

7344 
7826 
83o8 
8790 
9272 



0235 
-7 0717 
11501199 
i632 1680 

2114,2162 
2595' 2643 
3o76;3i25 
3558|36o6 
40394087 



5946 
6428 
6910 

7393 
7874 
8356 
8838 
9320 

9754 9802 

"' 0284 

0765 

1247 

1728 

2210 
2691 
3i73 
3654 
4i35 

46i6 
5098 



4472 452o]4568 
4953|5ooij5o5o 
5434|5483^553i 
5016,59646012 
6397J6445.6493 

687869266974 

735874077455, 
78397887I7935 
8320 8368 84i6 
8801 8849|8897 

92829330*9378 

• 9762I98109858 

956 0243 0291 0339 

0723 0771 '08 1 9 

i2o4 1252 i3ooi 



5o3o 
55i2 
5994 
6477 
6959 

7441 
7923 
84o5 
8886 
9368 

9850 
o332 
o8i3 
1295 
1776 

2258 

2739 

322T 
3702 

4i83 

4665 
5i46 



5579 5627 
60606108 
654i6589 

702217070 
75o3|755i 
7984,8032 
8464 8512 
8945.8993 

9426 9474 
99069954 
o387 0435 
08680016 
13481396 



5 6 7 8 9 

3oo5 3o54 3io2 3i5o 3199 



3489 3537; 
397 2 '402 1 
4456 45o4 
493949871 

5422*5471 1 
5oo6 5954, 
63896437 
6872 692 1 
7355 7404, 



3585.3634 
406941 17 
4552I4601 
5o36,5o84 



3662 
4i66 
4649 
5i32 



7838 
8321 
8804 
9287 
9770 

0253 



|55i9;5567 56i6 
6002 6o5 r '6099 
64866534:6582 
696970177065 

7452J75oo 7549 

7887'7935'7983'8o32 
837o84i8 8466;85r5 
8853 8001 8949 8998 
9336938494329481 
93199867199159963 



o3oi'o35o 0398*0446 
07360784 o832,o88i|o9a9 



1219 
1701 
2184 

2666 

3i49 

363 

4ii4 



459646444692 



5078 
556i 
6043 
6525 
7007 

7489 

7971 
8453 
8935 
9416 

o38o 
0862 
1 343 
1825 

23o6 
2788 
3269 
3750 
423i 

47i3 
5194 
5675 
61 56 
6637 

7118 

8080 
856o 
9041 

9522 

♦oo3 
o483 
0964 
1444 



5i27 
5609 
6091 
6573 



267ji3i5 
1749 1798 
223212280 

27152763 
3IQ73245 
368o 3728 
4162 4210 



5175 
5657 
6139 
6621 



70557103 



7537 



80198067 
85oi "' • 



8983 
9465 

9946 

0428 

0010 

1^9 

1873 

2354 
2836 
33i7 
3708 
4280 

4761 
5242 
5723 
62o4| 



7585 



903 1 
95i3 



i363 i4i2 
1 846 1894 
23292377 

281 1 1 2859 
329413342 
3776 3824 



4258 
4741 

5223 



43o7 
4789 
5271 



57o5|5753 
61876236 
66696718 
7i52 7200 



7634 
8ii5 



85498597 



7682 
8164 
8646 
90799127 



9561 9609 



9995 ♦043,0091 
0476052410573 
0958! 1006 I o54 
i439;i488|i536 
1921 



2402 
2884 



2409 
2980 



1969 2017 

245i 

2932 
3365' 341 33461 
384688953943 
4328 4376:4424 

480948574905 
5290 5338,5386 
5771 1 58 1 9 5867 
|6252,63oo6348 



6685 6733 6781 6829 



7166 
7647 
8128 



7214 7262 73io 
7695 7743,7791 
8176,82248272 



86o9|8657|87o5 8753 
9o899i37'9i85'9234 

957096181966619714 

oo5r 

o53i 

1012 

1492 



009901470195 
057906270675 
1060' 1 108 11 56 
i54oi588 t686 



1234 56789 
18 



DiJ. 



DiT 



Diff. ic MolL 



147 
'9<5 

343 
392 
44t 



48 
96 

144 
T92 
a4o 
288 
336 
384* 
43a 



DiflT. & Matt. 



198 

flmm. 

9040 

4i 

4a 
43 
44 

45 
46 
47 
48 

49 

00 5o 

5i 

53 
54 

55 
56 

57 

5a 

59 

oo6o 
6i 

62 

63 
64 

65 
66 
67 
68 

69 
9070 

71 
7a 
73 
74 

75 
76 
77 
78 
79 
0080 
81 
82 
83 
84 

85 
86 
87 
88 
89 

9090 
91 

$ 

98 

99 

Nam. 



LOGABITBHS OP NUHBBBB. 



01234 56789 



936 i684 
3i65 
2645 
3i25 
36o6 

4086 
4566 
5o46 
5526 



6006 6o54 



1732 1780 
22132261 
2693 2741 

3173 3221 

3654 3702 

41344182 
46144662 
50945142 

5574 5622; 

6102 



6966 
7445 
7925 



1828 

2309 

2789 
3269 
3750 



42304278 



4710 
5190 
5670 
61 5o 



6486 6534 6582 663o 
) 7014 7062)71 10 
)7493754i ", 
) 7973 802 1 8069 



84o58453 85oi8549|85y7 



1876 
2357 
2837 
33i7 
3798 



4758 
5238 
5718 
6196 



7i58 
7637 
8117 



75897637 




,1761 
2241 



i33o'i378 

18091857 , - 

__.,. 228923362584 

27202768281612864 

31993247.32953343 

372637743822 
42o5 4253 43oi 



3678 
4i57 
4636 
5ii5 
5594 

6073 
6552 
7o3o 
75oo 
7988 

8466 
8945 
9<a3 

9580: 

o858 
i337 
i8i5 
2293 

2771 

3249 
3727 
42o5 
4683 
5i6i 

5639 
6117 
6594 
7072 



46844732 
5i6352ii 
56425690 



612161696217 



66006647 
707817126 

75577605 
8o36.8o83 

85i 418562 
89939041 



9471 



99509997 



8027 
85o5 
8982 



9937 



o5i5 
09460994 



1426 i474 



1953 
2432 
2911 
3391 

3870 
4349 
4826 
53o7 
5786 

6264 
66956743 



4780 
5259 
5738 



7174 
7653 
8i3i 

8610 



9519 



0428 

0906 
1 385 
1 863 
234 1 



0476 

0954 
1432 
1911 
2389 



28192867 
3345 



3297 

3775 
4253 
473i 
5209 

5687 

6i64 

6642 

,_,_ 7120 

75497597 



8075 
8552 
9o3o 



9459 9507 



9984 



9567 
♦o45 
o524 

1002 
1480 
1958 
2437 
2915 

3393 



3823j387i 
43014349 
47794827 
52575304 

57345782 
621262606308 



660067386785 

7167 

7645 

8123 8170 8218 
8648 8695 
912591 



72 1 5 7263 
7693 7741 



8600 

9077 
9555 
♦o32 



7222 

7701 
8179 

8658 
9i36 
9615 
0093 
0571 

io5o 
1 528 
2006 
2484 
2962 

3441 

4874 

5352 
583o 



9603 9650 
00800128 



1925 1973 
24o5 2453 
2885 2933 
3365 3413 
3846 3894 

4326'4374 
4806 4854 
52865334 
57665814 
6246 6294 

67266774 
7206,7254 
7685 7733 
8i6582i3 
86458693 

9124 9173 
96049652 
oo83oi3i 
o563o6ii 
1042 1090 



1 522 

2001 
2480 
2959 



343934863534 



3918 
4397 

4876 



1570 
2049 
2528 
3oo7 



2021 
25oi 

2981 
3461 

4422 

4902 
5382 
5862 
6342 

6822 
73o2 
7781 
8261 
8741 

9220 
9700 
0179 
o65o 
ii38 

1618 
2097 
2576 
3o55 



3966 
4445 
4924 



5355 5402 
5833 5881 



63i2 

6791 

7270 
7748 
8227 

8706 
9i84 
9663 
oi4i 



636o 
6830 i 
73i8 

7796 
8275 

8753 
9232 
9710 
01" 



3488 
3966 
4444 
4922 
5400 

5878 5925 
6355 64o3 
6833 688 [ 



06190667 

1098 
1576 
2o54 

2532 

3oio 



1145 
1624 
2102 
258o 
3o58 

3536 
4oi4 
4492 
4970 
5448 



73ii 
7788 

8266 
8743 
9221 

9698 

0175 



7358 
7836 

83i4 
8791 
9268 
9746 

0223 



3029 3o77 



3509 
3990 



2069I2117 



2549 



44704518 

4950 

543o 

5qio 

63901 



5478 
5958 
6438 

6918 
7397 



6870 
7349 7- , 
7829 7877 
83098357 
87898837 



9268 
9748 
0227 
0707 
1186 

i665 
2145 
2624 
3!o3 
3582 

4o6i 
4540 

^'9 



4oi3 

4492 

4971 

5450^5496 

59295977 

6456 



64o8 

6887 
736674i3 



69356983 



7844 
8323 

8801 
9280 
9756 



89 0237 



3584 
4062 
4540 
5oi8 
5495 

5973 
645 1 
6929 
7406 
7884 

836i 
8839 1 
9316 ( 

9793 
0271 



7892 
8371 

884< 
932! 
9806 
0284 



07i5o763|o8ii 

..93 

1672 
2i5o2n 
2628 
3io6 



1241 
171 



3i54 

3632 
4iio 
4588 
5o65 
5543 

602 1 

^' 

7454 
7932 

84< 

881 

9364 

9841 

o3i8 



2597 



3558 
4o38 



9316 
9796 
0275 
0755 
1234 

I7l3 
2193 
2672 
3i5i 
363o 

4109 
4588 
5067 
5546 
6025 

65o4 



7^1 
7940 
84i8 



9376 
9854 
o332 



1289 
1767 
2245 



2676 2723 



3202 

368o 
4i57 
4635 
5ii3 
5591 

6069 
6547 
7024 
75o2 

7979 

8457 
8934 
9412 



12 3 4 5 6 7 8 9 Pi<r. 



Difl: 



Diflr.JfcMalt. 



147 
196 
245 
294 
343 
392 

Ml 



I 


48 


a 


96 


3 


i44 


4 


191 


5 


240 


6 


a88 


7 


335 


8 


384 


9 


432 



Diflr.4tMii]i. 



IrOGARITHlnS Of NUMBERS. 



139 



Nun. 

9100 
01 
oi 

o3 
o4 
o5 
g6 
07 
oB 
oy 

11 
la 

j3 
M 
i5 
16 
17 
r8 
19 

3T 

^a 
a3 
a4 
a5 

3€ 
37 

a8 
39 

91 3o 
3t 

33 

. 33 

35 
36 
37 
38 
39 

91 4o 
4i 
42 

43 
44 

45 
46 

47 

48 

49 

01 5o 

5i 

53 

53 
54 
55 
56 
57 

59 



12 3 4 



5 6 7 8 9 



Diir. 



DiflT. Ac MolL 



0590414 

u&9t 
i3(iS 
1345 

33^3 



04613 



o5o9 



0939 09S7 



1893 
a 370 



1 464 

i4ia 



3800 a8i7 3S95 



3753^3Hot 



423o 

4707 



427ft 
47^5 



5r84 5'i3i 
5G6o^57o8 
6i37'6r85 
66i4 66fii 
70907138 



75^7 



5o43 8091 



76r4 



S5ao 
8996 
9473, 

* 994^*^1 

96004^5 

ooor 

t377 

1853 



856^ 
9044 
95 10 

999^ 
o47'3i 



3849 
4i7h 
480 a 

5379 
575<> 
6a33 
6709 
7186 

7663 
8t38 
86i5 
9091 
9^67 

044 
o53o 



33a9 3376 
a8o5,a853 



S^^ 



3a8r 
3756 
4a3a 

4708 
5j83 
5659 
6r35 
6610 

7066 
756j 
80 36 
85i3 
89S7 

94fi3 
9937 
[04 
0887 
1 36a 

i837 
a3i3 
^787 
3365 
3736 

431 T 

4666 
5i6o 



3338 
38d4 
4380 

4755 

5^3 

5707 

6[&a 

665S 

7i33 
7608 
80B4 



3896 
4373 
485o 

5337 
58o3 
6a8o 
6757 
7333 



09480996 

1434 

i9cx> 



77107757 

a 1868734 

866a'87!t> 
91 3919186 
96159663 

056710615 
i^i4 



1473 
r 

M^4 
5900 
3376 
385 r 
43a7 

48o3 
5a79 
5754 
633(j 
,6705 

7181 
7655 
8i3i 



8559 8607 
9034^9083 



n46o 



9557 
*a3a 
o5o7 



0935 0983 
i4rO|T457 



188' 
3359 
3834 
33o9 



193a 
3407 
^883 
3357 



o557|o6o5 
io34ljo83 

1 9891^0 JO 
3466! 35 1 3 

3941^990 
543o'3467 



3944 
442Z 
4898 

5374 
585j 
63a8 
6804 
73S1 



r550 
1996 

347^ 
5947 
3433 
3&99 
4375 

485o 
5376 
58o3 
6377 
6753 

7338 

77f>4 
8179 
8654 
9[39 

9605 
oo8« 
o555 
ro3o 
i5u5 

1980 
a454 
9=9 
34o4 
3879 



[09T 
1 567 
^043 

a5i9 
3995 
3i7r 
3947 
4433 



3784.383 1 

435s|43o6 4353 
4733j4?8ni4838 
5ao8^5a55 53t>3 

5777 
6351 



5635 568a}573o 
610961576304 

6583 66316678 
7o5&7ro5 7153 
753a75Rr>!76>7 
floo6|8o54l8ioi 

848 rl857Bl 85^5 



7300 
yfn4 



5374 
5849 
6335 
6S00 

7376 
775f 
83 a6 
8703 
9^77 
9653 
0137 
o6o3 
1077 
i553 

3037 

3503 
3977 

345 r 
39a6 



440 T 
48t5 
535o 
5834 
6399 

6736 6773 



7348 

7733 



8149^6196 
86:? 3 R670 



cj653 
ii3o 
1607 
3084 
356[ 



3o38 
35i5 



0748 

t335 
1703 
^179 

3656 
3 [33 



6375 
6853 
73a8 

7805 
8a8L 
8758 
91M 
9710 

oj86 
d663 
f ]39 
i6i5 
3091 

3567 
3o43 
35j8 
3994 
4470 



_ . 03S3|o339 

0710^07580805 



543 
5897 
6373 
6848 

73=3 

7799 

8374 



0700 
il77 
i655 
3 1 3a 
3609 

3o86 

-.,.35G3j36io 

3gcaMfj39l4tJ87 

4469 ' ■ ^ 

4945 

5433 

5899 5946 
~" 6433 

6900 

7376 

7853 
8379 
8S<r)5 
9383 
V756 

oa34 



0796 
1373 
1750 

33^7 

3704 



0843 

l33l 

1798 

3375 
3753 



3658 

4115 

45i(il4564 46Ta 

4993 5o4i5o88 

547o!55t7 

^5994 

5471 

6947 

74^4 



3[8ii3339 



7900 
8377 
8853 
93ag 



3706 
4i83 
46^9 
5[36 

56i3 
6089 



5565 
6043 

65iB>65r/i 
6995 7u43 



7471 



7519 



7948 7996 



8434 

890 

^377 



9806J9853 



186 
t663 
3 [38 

36t4 
3090 
3566 
4o43 



J 334 
1710 
3t86; 

3663 
3i38 
36i4 
4089 



1385 
r758 
3334 

3709 
3i«5 
366j 
4 1 37 



4517 4565 46i3 



4946 499^ 



5o4i 
5469J5516 



5944 
6430 
6895 

7371 
-t846 
8331 



8749 S797 
9334 9373 



9700 
0175 
o65c 

1600 

3075 
3549 
3oi4 
3499 
3974 

4448 
4913 
"97 
5873 
6346 

683 
7395 
7769 
8343 



9747 

0333 
0697 
1173 

t647 

3[33 
3597 

3 073 



5953! 
6467 
6943 

74(8 
7894 
8369 
8844 
9319 

9795 
0370 
0745 

1330 
[695 

3170 
3644 

3[ [9 



5^>S8 
5564 
6o3^ 



65 



il 

6990 

7466 
794 1 
8416 
8893 
9367 

9843 
o3i7 
0793 
1367 
1743 

3317 

3693 



3546,3594 



4o3i|4o^9 

4496I4543 
477".5oi8 
5445,5493 
59195967 
6394 644t 

686869(6 
73437390 
7817-864 
6391:8338 
87r8!8-:'65J86j3 



B4' 
8948 
94^5 
9901 

o377 
o853 
[339 
i8o5 
3381 

3757 
3a33 

3709 
4i84 
4660 

5[36 
56iJ 

6067 
6563 
7o38 

75] 3 
7969 
8464 
8939 
94M 

o365 
0840 
i3i5 
179D 

3364 
3739 



3iD7 33j4 
364113669 
4i[6'4i63 

459[i4638 
5o65 5ij3 
55405587 
60 1 4 6063 
6489'6536 

6963,7010 
74377485 
791317959 
8386 8433 
886r>l89n7 



A^ 



96 

144 
19a 
340 
388 
336 
384 
433 



t 


47 


3 


94 


3 


i4i 


4 


im 


5 


335 


6 


383 


7 
8 


n 


9 


433 



1234 56789 



140 


LOGARITHMS OF NnMBBRS. 1 


Num. 
9160 


12 3 4 


5 6 7 8 9 


Diff. 


Difr.A:MDlt. 


Ml 8955 


9002 9050,9097 


9144 


9102192309287 
9660 97 1 319761 


9334 9381 






61 


96ao377 


9476 


9524 


9571 


9618 


9808I9855 






6a 


9950 


999^ 


♦045 


0092 


oi4o'oi87 


0235 


0282 


0329 
o8o3 






63 


0424 


0472 


o5io 
0993 


o566 


o6r4io66i 


0700 
ii83 


0756 






64 


o85i 


0898 


0946 


io4o 


]o88 


ii35 


ia3o 


1277 






65 


i3a5 


1372 


1419 
1893 
2367 


1467 


i5i4 


1 562 


1609 
2o83 


i656 


1704 


I75i 






66 


1799 


i846 


1941 


1988 


2o35 


2i3o 


2178 


2335 






67 


3272 


2330 


2414 


246a 


a5oo 


2557 


2604 


265i 


2699 






68 


a746 


2703 
3267 


2841 


2888 


2936 


3983 3o3o 


3078 


3i25 


3172 






69 


3a ao 


33i4 


3362 


3409 


3457 35o4 


355i 


3599 


3646 






9170 


4i?7 


3741 


3788 


3835 


3883 


3930 3978 


4025 


4072 


4iao 




I 


48 


71 


4214 


4262 


43oo 
4780 


4356 


4404445 1 


4498 


4546 


^5^, 




a 


96 


72 


464o 


4688 


4735 


483o 


4877 4oa5 
535 1 5398 


4973 


5019 
5493 




3 


144 


73 


5ii4 


5i6i 


5209 


5256 


53o3 


5445 


5540 




4 


19a 


74 


5587 


5635 


5682 


5729 


5777 


5834 5871 


5919 


6oi3 




5 


a4o 


75 


6061 


6108 


6i55 


6203 


6a5o 


6297 


6345 


6392 
6865 


643o 
6913 
7386 


6487 




6 


a88 


76 


6534 


658 1 


6629 


6676 


6733 


6771 


6818 


6960 




7 
8 


336 
384 

43a 


77 


7007 


7o55 


710a 


7149 


7197 


7244 


7764 
8238 


7339 


7433 




78 
79 


7481 
7954 


7528 
8001 


7575 
8o48 


7622 
8096 


7670 
8143 


7717 
8190 


7812 
8285 


7859 
8332 


7906 
838o 




9 




9180 


8427 


8474 


8521 


8569 


8616 


8663 


8711 


8758 


88o5 


8853 






81 


8900 


8947 


% 


9042 


9089 


9i36 


9«84 


9231 


9278 


9326 






8a 


9420 


95i5 


9563 


96099657 


9704 


975i 


9799 






83 


• 9846 


^ 


9940 


9988 


♦o35 


0083 01 3o 


0177 


0224 


0271 






84 


963o3i9 


o4i3 


0461 


o5o8 


o555 


0602 


o65o 


0O97 


0744 






85 


0792 
ia64 


0839 


0886 


0933 


0981 


ioa8 


1075 


iia3 


1 170 


iai7 






86 


i3r2 


1359 


i4o6 


1454 


i5oi 


1 548 


1595 


1643 


\% 






87 


1737 


1784 


i832 


1879 


X 


1974 


2021 


2068 


2Il5 






88 


aaio 


3257 


33o4 


2352 


2446 


2493 
2966 


9541 


2588 


2635 






89 


2683 


2730 


2777 


2824 


387a 


3919 


3oi3 


3o6i 


3io8 






9190 


3i55 


32oa 


325o 


3297 
3769 


3344 


3391 
3864 


3439 


3486 


3533 


358o 






9' 


362« 


3675 


3722 


38i7 


4I84 


3958 


4006 


4o53 






9a 


4ioo 


4i47 


4195 
4667 


4242 


4a8v 


4336 


443 1 


4478 


4525 






93 


4573 


4620 


4714 


476a 


48o9|4856 


4v)3 
5376 


4951 


4998 






94 


5o45 


5092 


5i39 


5187 


5a34 


5a8i 53a8 


54a3 


5470 






?5 


55i7 


5565 


56i2 


5659 


5706 


5753 58oi 


5848 


5895 
6367 


594a 






96 


5990 


6037 


6084 


6i3i 


6179 


6336,6273 


63 30 


64i5 






97 


6463 


65o9 


6556 


6604 


665i 


6698 


6745 


6799 
7265 


684o 


6887 






98 


6934,6981 


7028 


7076 


7123 


7170 


7217 


73l2 


7359 






99 


74067453 


75or 


7548 


7595 


7642 


7689 


7737 


7784 


783i 






9300 


7878 79^5 
835o'8398 


79? 3 


8090 


8067 


81148161 


8209 


8256 


83o3 






01 


8445:8499 


8539 


8586:8634 
90589105 


8r)8i!8728i8775 




- 1 y_ 


. 02 


8832!8869!89i7 8964 


9011 


9153920099.47 




I 


<17 

i4i 
1&8 


o3 


97919341193899436 


9483 


9530 9577 


962596729719 




a 
3 
4 


04 


• 97669813.98609908 


9955 


♦003 0049 


00960144 0191 




o5 


964 0238'o285'o332 0379 


0427 


0474 05 31 


o568o6i5o663 




5 


335 


06 


O7!o|o757|o8o4|o85i 


0898 


0946,0993 
i4i7|i46< 


io4o 108711134 




6 


383 


07 


118111229,1276 i323 
1 653 1700 1747 1795 
2i25jar72 2219 2266 

2596 2643 2691 9738 
3o68 3ii5'3ifia3209 


1370 


i5i2 1559I1606 




7 


l^ 


08 


1842 


1889' 1936 


1983 2030:2078 




8 


09 
9a 10 


23i3 

2785 


a36i|34o8 
383312879 


24552502 2549 
2926 29743021 




9 


423 




II 


3256 


3304335 1 


3398'3445 3492 
3869,3916 3964 






la 


3539 3586 3634:368 1 


3728 


3775,3833 






i3 


4oiii4o58;4io5,4f59 


4199 


4246 4204 


4341 143884435 






i4 


4482452945764623 


4671 


471814705 


4812I48594906 






i5 


4953 5ooi 


5o48'5o95 


5i4a 


51895236 


5283*5330 5378 






16 


54^5 5472 


55195566 


56i3 


5660I5707 


5755 58o2"5849 






17 


689659435990:6037 


6084 


6i3i|6i79 


6226,62736320 






18 


6367 641 4 646i!65o8 


6555 


66o3,665o 


66076744,679' 
7i68!79i5'7262 






'9 

Num. 


6838688569326979 


7027 


7074!7»2i 






12 3 4 


5 6 7 8 9 


DtfT. 


DiflT.JtMall. 



LOGARITHMS OF NUMBERS. 14) 


Num. 
0220 


12 3 4 


5 6 7 8 9 


Dim 


Dtif. Jfc Mult 


9047309 


7356 


74o3 7451. 


7498 


7545 


7592 
8o63 


76397686 


7733 






ai 


7780 


7827 


7874 


7022 


7969 


8016 


81108157 


8204 






22 


8251 


tt 


8345 


8392 


844o 


8487 


8534 


858i 


8628 


8675 






23 


8722 


8816 


8863 


8910 
938i 


8958 


9005 


9052 


9099 


9146 






24 


9193 


9240 


9287 


9334 


9428 


9475 


9523 


9570 


9617 






25 


J. 9664 


971 1 


9758 


9805 


9852 


9899 


9946 


99?3 


♦o4o 


0087 






26 


965oi35 


0182 


0229 


0276 


o323 


0370 


0417 


o464o5ii 


o558 






^z 


o6o5 


o652 


0699 


0746 


V.t 


0841 


0888 


09350982 


X029 






28 


1076 


1123 


1 170 


1217 


i3ii 


i358 


i4o5 


1452 


1499 






29 


i546 


1594 


i64i 


1688 


1735 


1782 


1829 


1876 


1923 


1970 






9280 


2017 


2064 


2111 


2i58 


2205 


2252 


2299 


2346 


2393 
2864 


2440 




I 


47 


3i 


2488 


2535 


2582 


2629 


2676 


2723 


2770 


2817 


3?8; 




2 


94 

i4i 


• 32 


2958 


3oo5 


3o52 


3^ 


3i46 


3193 

3664 


3240 


3287 


3334 




3 


33 


3428 


3475 


3522 


36i7 


371 X 


3758 


38o5 


3852 




4 


188 


34 


3899 


3946 


3993 


4o4o 


4087 


4i34 


4x8i 


4228 


4275 


4322 




5 


235 


35 


4369 


44i6 


4463 


45 10 


4557 


46o4 


465i 


5% 


4745 


4792 
5262 




6 


282 


36 


4839 


4886 


4933 


4980 


5027 


5074 


5X21 


52x5 




7 
8 


3^1 


37 


5309 


5356 


54o3 


545o 


54Q7 
5968 
6438 


5545 


55o2 


5639 


5686 


5733 




39 


5780 
625o 


5827 
6297 


5874 
6344 


5921 
6391 


6oi5 
6485 


6062 
6532 


6x09 
6579 


6x56 
6626 


6203 
6673 




9 


423 




9240 


6720 


6767 


6814 


6861 


7?78 


6955 


7002 


7049 


7096 
7566 


7143 


47 




4i 


7190 
7660 


7237 


7284 


7331 


7425 


7472 


7519 


76x3 






42 


7707 


7754 


7801 


7848 


7895 
8364 


7942 


^ 


8o36 


8o83 






43 


8i3o 


8177 


8224 


8270 


83i7 


84x1 


85o5 


8552 






44 


8599 


8646 


8693 


8740 


8787 


8834 


8881 


8928 


8975 


9022 






45 


9069 


9x16 


9163 


9210 


9257 


93o4 


9351 


2^ 


9445 


949a 
9962 






46 


^9539 


9586 


9633 


9680 


9727 


9774 


9821 


2?8^ 
o854 






47 

48 


^C^ 


oo56 
o525 


oio3 
0572 


or49 
0619 


0196 
0666 


0243 
0713 


0290 
0700 


0337 
0807 


o43i 
0001 
x570 






49 


0948 


0995 


1042 


1089 


ii36 


1x83 


I23o 


1276 


x323 






9250 


1417 


1464 


i5ii 


i558 


i6o5 


i652 


1% 


1746 


i703 
2262 


i84o 






5i 


1887 


1934 


1981 


2028 


2075 


2122 


22X5 


2309 






52 


2356 


24o3 


2450 


2497 
2966 


2544 


259X 
3o6o 


2638 


2685 


2732 


lilt 






53 


2826 


2873 


l^l 


3oi3 


3io7 


3x54 


3201 






54 


3295 


334a 


3436 


3483 


353o 


3577 


3623 


3670 


3717 






55 


3764 


38ii 


3858 


3oo5 
4374 


3952 


'M 


4o46 


f^. 


4i4o 


4x87 






56 


4233 


4280 


4327 


4421 


45x5 


4609 
5078 


4656 






57 


4703 


4750 


4796 
5266 


4843 


4890 


4937 


4984 


5o3i 


5i25 






58 


5172 


5688 


53i2 


5359 


5406 


5453 


55oo 


5547 


^ 






59 


564i 


5735 


5782 


5828 


5875 


5922 


5969 


6016 






9260 


61 10 


6r57 


6204 


6251 


6207 
6766 


6344 


6391 
6860 


6438 


6485 


6532 






61 


6570 

7o48 


6626 


6673 


6720 


65x3 


6907 

7376 


6954 


700 X 




_ yfi 


62 


7095 


7142 


7188 


7235 


7282 


7329 


7423 


7470 




I 


/|U 


63 


75i7 


7564 


7610 


7657 


7704 


775 1 


7845 


7802 
836o 


7939 




2 

3 

4 


^8 

1 84 


64 


7985 


8o32 


8079 


8126 


8173 


8220 


83x4 


8407 


1 


65 


8454 


85oi 


8548 


8595 


8642 


8689 


8735 


8782 


8820 


8876 




5 


23o 


66 


8923 

9392 

• 9860 


8970 


^11 


9^64 


9110 


9*57 


9204 


9251 


9296 


9345 




6 


276 


67 


9438 


9485 


9532 


^^1 


9626 


9673 


972019767 


o8i3 




7 


322 


68 


9907 


9954 


♦001 


0095 
o563 

io32 


o[4i 


0188 


0235:0282 




8 


368 


69 
9270 


967 0329 


6376 
0844 


0423 

!82^ 


0469 
0938 


o5i6 
0985 


0610 
X078 


0657 

1125 


0704 
1172 


0750 
1219 




9 


4i4 




71 


i3i3 


i4o6 


1453 


i5oo 


1 547 


1594 
2062 


x64i 


1687 






72 


1734 


1781 


1875 


1922* 
2858 


1968 


201 5 


2109 


2x56 






73 


2203 


2240 

2718 


2296 
2765 


2343 


2437 


2484 


253o 


2577 


2624 






74 


2671 


2811 


2905 


2952 


2999 


3o46 


3092 






75 


3i39 


3r86 


3233 


3280 


3326 


3373 


3420 


3467 


35x4 


356i 






76 


3607 


3654 


3701 


3748 


3795 
4263 


384x 


3888 


3935 


3982 


4029 






77 


4076 


4l22 


4169 


4216 


43 10 


4356 


44o3 


445o 


44<77 






78 


4544 


4590 


4637 


4684 


473 1 


4778 


4825 


4871 


4918 


4965 






79. 
Num. 


5oi2 


5o59'5io5 


5i52 


5199 


5246 


5293 


5339' 5386 


5433 






12 3 4 


5 6 7 8 9 


Dur. 


Diir.AcMiilt 



142 


LOGARITHMS OF M U M B £ E S . 1 


Num. 
9380 


12 3 4 


5 6 7 8 9 


Diff. 


DifflJcMvH. 


9«7 548o 


5527,5573 


5620,5667 


5714 5761 
61826228 


58o7 


5854 


6?69 






8i 


5948 


59956041 


6o88!6i35 


6275 


6322 






82 


64i6 


646265096556,6603 


66506696 
71 17 7104 


6743 


6700 
7258 


6837 






83 


6884 


69306977 

73987445 


702417071 


721 1 


73o5 






84 


7351 


7492 7538 


7585 


7632 


7679 


7726 


7772 






85 


7819 


78667913 


79598006 


8o53 


8100 


8i46 


8193 
8661 


8240 






86 


8287l8334'838o 


8427i8474 


8521 


8567 


8614 


8708 






87 


8754 


88018848 


88958942 


8988 


9035 


9082 


9129 


9175 






88 


9222 


9269' 93 1 6' 9362 1 9409 


9456 


95o3 


9549 




9643 






89 


• 9690 


9736 


9783 


98309877 


9923 


9970 


♦017 




OIIO 






9290 


9680157 


0204 


o25r 


0297 o344 


0391 
o858 


o438 


o484 


o53i 


0578 




I 


47 


9' 


0625 


0671 


0718 


0765 


0812 


X 


0952 


^ 


1045 




a 


9< 


92 


1002 


:^ 


n85 


1232 


1279 
1746 


1 326 


1419 
1886 


i5i3 




3 


i4i 


93 


,5^ 


i653 


1700 


1793 
2260 


i84o 


1933 


1980 




4 


188 


. 94 


2027 


2073 


2120 


2167 


22l4 


23o7 


2354 


2400 


2447 




5 


235 


95 


a4g4 
2961 


254 r 


2587 


2634 


2681 


2728 


2774 


2821 


2868 


Zi 




6 


282 
423 


96 


3o()8 


3o55 


3ioi 


3i48 


3195 
3662 


3241 


3288 


3335 




I 


97 


3428 


3475 


3522 


3568 


36i5 


3709 

4176 
4643 


3755 


38o2 


3849 




98 
99 


3«95 
4362 


3047' ^oKn 


io36'iio82 


& 


4222 


426o\A^ti^ 1 




9 


4409 


44^5?, 


45o3 4549 


4689 


4736 


4783 






9300 


4829 

57?3 
6230 


4876 


58?7 
6324 


4970 


5oi6 


5o63 


5iio 


5i56 


52o3 


525o 






01 


5343 


5437 


5483 


553o 


5577 


5623 


5670 


5717 






02 
o3 


58io 

6277 


6J70 


5950 
6417 


^ 


6043 
65io 


6090 
6557 


6137 
6604 


6184 
665o 






04 


6697 


6744 


6790 


6837 


6884 


6930 


6977 


7024 


7070 


7117 






o5 


7'64 


7210 


7357 


7304 


7350 


7397 


7444 


74?o 
7957 


7537 


7584 






06 


763o 


7677 


7734 


7770 


7817 


7864 


7910 
8377 


8004 8o5o 






07 


8097 


8144 


8190 
8657 


82378284 


833o 


8424 847o'85i7 | 






08 


8564 


8610 


870418750 


8797 
9264 


8844 


% 


8937 


8984 






09 


9o3o 


9077 


9ta4 


9170 


9217 


9810 


94o4 


945o 






9810 
II 


.^ 


9543 
♦010 


9590 
oo57 


9637 
oio3 


9683 
oi5o 


973o 
0196 


9777 
0243 


9823 
0290 
0756 


9870 
o336 


^l 






12 


9690430 


0476 


o523 


0570 


0616 


o663 


0709 
1170 
1642 


o8o3 


o84o 
i3i6 
1782 






i3 
14 


0896 
1 362 


0943 
1409 


1^ 


io36 

l502 


io83 
1 549 


1129 
1595 


1222 
1689 


\^ 






i5 


1829 
2761 


1875 


1922 
2388 


1968 


20l5 


2069 


2108 


2i55 


2202 


2248 






16 


2341 


2435 


2481 


2528 


2574 


2621 


2668 


2714 






17 


2808 


2854 


2901 
3367 


2947 


2994 


3o4i 


3087 


3i34 


3i8o 






18 


3227 


3274 


3320 


3413 


3i&c> 


35o7 


3553 


36oo 


3647 






19 


3693 


3740 


3786 


3833 


388o 


3926 


3973 


4019 


4066 


4ii3 






9820 


4i5o 
4625 


4206 


4252 


1^ 


4346 


43q2 


4439 


4485 


4532 


4578 






21 


4672 


47i« 


48ii 


4858 


4951 


it 


5o44 




I 


46 


22 


5091 
5557 


5i38 


5i84 


523i 


5277 


5324 


5417 


55io 




2 


iS 


23 


56o3 


565o 


5697 


5743 


5790 
6256 


5836 


5883 


^ 


5976 




3 


34 


6023 


6069 


6116 


6162 


6209 


63o2 


6349 


6442 




4 


i84 


25 


6488 


6535 


6582 


6628 


6675 


6721 


6768 


6814 


6861 


r> 




5 


23o 


26 


6954 


7001 


7047 


75?9 


7140 


7187 


7234 


7280 


7327 




6 


276 


27 


7420 


7466 


75i3 


7606 


7653 


^ 


7746 


7792 
8258 


7839 




7 


322 


28 


7885 


7932 
8397 

8863 
9328 


7978 


8025 8072 


8118 


8211 


83o4 




8 


368 


29 
9330 

3i 


835 1 

8816 
9282 


8444 

8910 
9375 


8491 

8956 
9422 


8537 

9003 
9468 


8584 


863o 


8677 

9142 
9608 


8723 

9189 
9654 


8770 

9235 
9701 




9 


4i4 




32 


• 9747 


9794 
0259 


9840 


9887 


s? 


9980 


♦027 


0073 


0120 


0166 






33 


9700213 


o3o6 


o352 


0445 


0492 
0957 


o538 


o585 


o63i 






34 


0678 


0724 


0771 


0818 


0911 


1004 


io5o 


1097 






35 


1143 


1190 
1 655 


1236 


1283 


1329 


1376 


1422 


1469 


i5i5 


1 562 






36 


1608 


1701 


1748 


1794 
2260 


i84i 


1888 




1981 


2027 






3? 


2074 


2120 


2167 


22l3 


23o6 


2353 


2J99 


2446 


1% 






38 


2539 


2585 


2632 


2678 


2725 


2771 


2818 


2804 


291 1 
3376 






39 
Norn. 


3oo4 


3o5o 


3097 


3i43 


3190 


3236 3283 


332d 


3422 






12 3 4 


5 6 7 8 9 


Diir. 


DifflJcMnk. 



LOGARITHMS OF NUMBBRS. 



143 



Noni* 

9340 

4i 
4a 
43 
44 

45 
46 

47 
48 

49 
o3 5o 
5i 
5a 
53 
54 

55 
56 
57 
58 
59 

93 6o 
61 
6a 
63 
64 

65 
66 

67 
68 

69 
9370 
71 
7a 
73 
74 

75 
76 
77 
78 
79 
o3 8o 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

9390 
91 

$ 

98 
99 



1234 56789 



970 3469,3515 3563 
4027 
449a 
4956 
54a I 

584o 5886 
63o4635 
6769'68i5 
7a33 ^ 
7698 



8116 
858 1 

90459091 
9509 9556, 



8i63 
8627 



• 97'3 
9720176 



4852 
53i4 

5777 



6656 6702 



7118 
758i 



o484| 
094* 



[o53i 
0995 

'1 



2805 285 1 
3260 33 1 5 
3733 3779 



4197 
4660 



4a43 
4707 



5i24 5i7i 



5588 
6o5a 
65i5 
6979 



5634 
6098 
6563 
7025 



92499296934 



7535 

8462 
8926 
9388 

9852 

622262690315 

"-- " 0778 

1241 

1704 



97599805 



o639{o685 
"49 
i6ia 



2075 
2538 
3ooi 
3463 



2121 
3584 
3o47 
35io 



2167 
263o 



3926 3973 
43894435 



40194065 



1 102 
1 565 

2028 
2491 
59^4 
3417 
388o 

4343 
48o5 
5268 
573 1 
6193624062866332 

6795 
7257 
7720 
8182 
8644 
9107 



7i65 

7627 



8043 8089 
85o6;8552 



896890149060 
943o 9476 9523 
• 95?a|9938 9985 
973 o354|o4oi ' 
08160863 



48q8 
536 r 
5823 



6748 
721 
7673 
81 36 
8598 



3655 
4120 
4585 
5o49 
55i4 

5979 
6444 
6908 
7373 
7837 

83o2 
8766 
9331 



o577 0634 



io4i 
i5o6 
1970 
2434 

2898 
3363 
3826 
4280 
4753 

5217 
568 1 
6i44 
6608 
7071 



4483 
4944 
5407 
5870 



C088 
1 553 

30l6 

3480 

2944 
3408 

3872 

4336 
4800 

5263 
5727 
6191 
6654 
7118 

758 1 
8045 
85o8 
897a 
9435 

^ 

0834 
1388 
1751 

22l4 

2677 

3i39 
36o2 



4528 

^^3 

5916 
6378 

684i 
73o3 
7766 
8328 
8690 

9153 



95699615 
♦o3i 
0493 
0955 



0077 
0539 
1001 



3701 



4166 42i3 



463 1 
5096 
556 1 

6025 
6490 
6955 
7419 
7884 

8348 
881 3 
9277 
9742 
0206 

0670 
ii34 
1598 
2062 
a526 

3454 
3918 
4J83 
4846 

53io 
5773 
6237 
6701 
7164 
7628 

85?4 
9018 
9481 

9944 
o4o8 
0871 
i334 
1797 
2260 
2723 
3i86 
3649 
4iii 

4574 
5o37 
55oo 
5963 
6435 

6887 

7350 
7812 
8274 

8737 

OI33 

o585 
io48 



3748 



4678 
5i43 
5607 

6072 
6537 
7001 
7466 
7930 

8395 
8859 
9324 
9788 

0252 

0716 
II81 
1645 
2109 
2573 

3o37 
35oi 
3965 
4439 
4893 

5356 
5820 
6383 
6747 
7311 

7674 
8t37 
8601 
9064 
9537 

999' 
0454 
0017 
i38o 
[843 

33o6 
2769 

3232 

3695 
4id8 

4630 
5o83 
5546 
6008 
6471 
6933 
73o6 
7858 
8331 
8783 

9a45 
9707 
0170 
o633 
1094 



3794 
4359 
4724 
5189 
5654 

6118 
6583 
7048 
75i3 
7977 

844i 
8006 
9^70 
9834 
0399 

0763 
1227 
1691 
2155 
2619 

3o83 
3547 
4oii 
4475 



49394985 



54o2 
5866 



633o6376 



6793 

7257 



384i!3887 
43064352 
4771 '481 7 
5335 538a 
57005747 
6i6563ii 
66396676 
7094; 7 i4i 
755o 7605 
8020 8070 

8534 

94?I 

u345|OJ9i 
o8oo'o856 

1 37 J l330 



8953 
16 



I7094 



1738 

3303 
3666 

3i3o 
3594 
4o57 
4531 



5449 
5913 



684o 
73o3 



7767 
833o 
8694 
9157 
9574 9630 



7730 
8184 
8647 
91 1 1 



♦037 

o5oo 

0963 

436 

889 

3353 

381 5 
3278 
3741 
4204 

4667 
5129 
S5o2 



1784 

2348 

3712 

3176 

364o 
4io4 
4568 
5o3i 

5495 

6433 
6886 
7350 

7813 
8376 
8740 
9203 
9666 



oo83 
o547 

lOIO 

1473 
1936 

2b()2 

3325 
3787 
425o 



oi3o 
0593 
io56 
i5i9 
1982 

2445 
2908 
3371 
3834 
4296 

4759 



47i3 , 
5i76;5333 
5638 5685 
6o55 6ioi 6147 
6517 6563 6610 



6980 
7443 
7005 
8367 



70367073 
74887535 

7951I7997 
8413 8459 



8829 8875 893a 

929193389384 
975419800 9846 
0216,0263 o3o8 
0678 0734 0770 
I i4o! 1 186' 1 333 



01234 56789 



Diir. 



Diff. ic Malt. 



47 

94 

i4i 

188 
235 
a8a 



433 



i38 
184 
23o 
276 

322 

368 
4i4 



DiflT. DiCJtMalk 



141 



LOGARITHMS OF NUMBERS. 



Nam. 

9400 

oi 
oa 
o3 
o4 

o5 
06 

07 
08 
09 

94 10 
II 

13 

i3 
14 

i5 

16 
17 
18 

19 

9420 

21 

22 

23 
24 
25 

26 

27 
28 
29 

94 3o 
3i 

32 

33 
34 

35 
36 
3? 
38 
39 

9440 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

9450 

5r 

52 

53 
54 

55 
56 

57 
58 

59 

Nam. 



12 3 4 



5 6 



8 9 Di.r. 



973 1 279' 1 32 5 

1741,1787 
2202 2249 
2664 2711 
3i263i72 

3634 
4006 
455y 



3588 
4o5o 
45ii 



1371 i4i7ii463 
i833 18791025 
2295 234ii2J87 
2757 2803 2849 
32193265 33i I 

3680J3727 3773 
4i42!4i8b4a34 
46c>4 4650:4696 
5c)65 5ii2|5i58 
55i7;5573 56i9 



4973 5019 
54355481 

58o6 5742 59896035 6081 
63 w'64o4'645o 64^> 654^ 
68i9'6S??ij69i I 69)8; 7004 
728 1 |73>7?^i74 i 9 7465 
77427788,783^ '^ 



J 



;8343 



J 884^ 



8203 8a49 8295 
8664 871 1 187578803 
91269172 9218 9764 9310 
• 9587:9633 9679 9tj5 9-'7i 

974 0048,0094 Ol4o 0186 OJI32 

o5o9 o555 o6or 0647 0693 
0970 101 6| 1062 1 1 08 1 1 54 
i43i 147- i5^3,i5(i9;i6i5 
1893' fo38| 1984 2o3o| 2076 
2353 2^99 2445 249(,2537 



2814! 2860 

32-»4|332o 



3735 
4iq6 
4656 

5ii7 
55-^7 
6o38 
64o8 
6959 

7419 
7879 
834o 
8800 
9260 

• 9720 

9750180 

0640 

IIOO 

i56o 
2020 
2479 
lf9 

38?? 

43i8 
4778 
5237 
5697 
6i56 



3781 
4242 
4702 

5i63 
5623 
6084 
6544 
7005 

7465 
7995 
8386 
8846 
93o6 



2906 295.2 '"2 998 
336734133459 

3827 38-3 3919 
428843344380 
4748j4795j484i 

5209 5255|53oi 
5670,57 16' 5762 
613061766222 
6500 66366683 
7o5i 7097 7143 



75 1 1 7557 
7971 8017 
84398478 
889218938 
93529398 



7603 
8o63 
8524 
8984 
9444 



9766 9812 9858 9904 
0226,0272 o3i8 oi64 
0686 0732'o778|o824 



66i5 
7075 
7534 
7993 8o3< 
8452l84< 



1146 
1606 

2066 

2525 

2985 
3445 
3904 

4364 
4824 
5283 
5743 
6202 

6661 
7121 
758o 



1192.123811284 
1652,16981744 



2204 
2663 
3ia3 
3583 



2112 2r58 
2571 2617 
3o3i,3o77 
349i,3537j 
39503996,4042 

44io'4456 45o2 
487049151 496 1 
532953755421 
5788 5834|588o 
624862946340 



6707 6753 
71667212 
7626 7672 
8o85 8i3i 
8544 8590 



7718 
8177 
8636 



i5io 

197 

2433 

2895 

3357 



38 1 

4281 

4742 

5204 

5665 



i556|i6o2 1648 
2018 2064 2110 
2480' 2526 2572 
2941 298813034 
34o3 3449 3496 



9 3865 
4327 
4788 
525o 
57 



3911! 3957 
437y44i9 
48354881 
5296 5342 
5758 58o4 



61736219 
6635i66Si 
709617142 

7557I7604 
8oio!8o65 

^1 ' 



\% 

2618 
3o8o 
3542 

4oo4 
94465 
4027 
5339 
5b5o 



6265 

6727 
7188 
765o 
81 



63i2 
6773 
7234 
7696 
8i57 
8618 



9817 
0279 

0740 0786 



848o'8526 85- 
894ii8987;9o33j9o8o 
940'.? 19449:949519541 



98641 90 1 o' 9956! ♦002 
o325o57i|o4i 71^463 



1201 
1661 
2122 
2583 

3.»44 
35v)'-» 



1247 
1708 
2168 
26-^9 

3090 
355i 



0832108-^80994 
i2o3'i339'i385 

1 7^4; 1 8fH), 1846 
93o7 
2768 

3298 



396JI40II 
44^6 4472 



4887 

5347 
58o8 



62686314 
6729 6775 
71897235 

7649 



8109 
8570 



7695 
8i55 
8616 



90309076 



9490 9536 9582 



9950 
o4io 
0870 
i33o 
1790 

225o 
2709 
3169 
3629 

4o8d 

4548 
5oo7 
5467 
5926 
6386 

6845 
73o4 
7763 
8293 
8682 



4933 

5393 
5854 



0916 
1376 
i836 

2296 
2755 
32i5 
3675 
4i34 

4594 
5o53 
55i3 
5972 
6432 



73r' 
7809 
8269 
8728 



92l5'226l 
2675J272I 

3i363i82 
359-'3643i3689 
4o58!4io4'4i5o 
45i8|4564|46io 
49795025 5071 

5485 553i 
5946 5992 
64066452 
68676913 

7327 

7787 
8248 
8708 
9168 
9628 



5439 
5900 
636o 
6821 
7281 

7741 
820 r 
8662 
9122 



7373 



7833 
8204 
8754 
9a M 
9674 



00880134 
o548 o5q4 



roo8 
1 468 
1928 

2387 

2847 
33o7 
3767 
4226 



o54 
i5i4 
'974 

2433 



♦042 
o5o2 
0962 
1422 

1882 

2341 
2801 
3261 

3721 
4180 

464o 4686 4732 
5o99 5i45|5ioi 
555o;56o5i565r 
6018.60646110 
6478 6523 6569 

73967442 
7855'79oi 



38i3 
4272 



7020 
7488 
7947 
8406 
8774'882o'8865 



83i5|836o 



our.4fcMsh. 



47 

94 

i4i 
188 
2 35 
282 
329 
376 
423 



I 


46 


a 
3 


iS 


4 


i84 


5 


23o 


6 


276 


7 


322 


8 


368 


9 


4i4 



12 3 4 5 6 7 8 9 Diff. 



Diflr.4fcMalt. 



LOGASITHMS OF NUMBEKS. 



145 



Num. 

9460 

6i 
6a 
63 
64 

65 
66 
67 
68 
69 

9470 
71 
72 
73 
74 

75 
76 
77 
78 
79 
9480 
81 

83 

83 
84 

85 
86 
87 
88 
89 

^90 

91 
92 

94 

• 95 

96 

98 
99 

95 CX) 
01 

oa 
o3 
cM 

o5 
06 
07 
od 
09 

95 10 
II 

t2 

i3 
i4 

i5 
16 

17 
i@ 

'9 



1 2 

975 891 1 18957 9003 90i 
93709416946a 
• 082098759021 
976 oa88 o334 o38o 



4 

950819554 
9967 ^013 
o4a6o472 



5 6 7 8 9 



0747 0793 0839 o885 0931 



1206 
i665 
2ia4 
258a 
3o4i 

35oo 
3958 
4417 
4875 
5334 

5793 
6a5i 



67096755 



7167 
7625 

8o83 
854 1 
9000 
9458 

• 9915 

9770373 
o83 
1389 

1747 

3304 

2662 
3l20 

3577 

4o35 
4492 

4950 
540 

633 
6779 
723ri 
769I 

8T5r.> 

mo 

9521 

• 997W 
978043') 

0893 
1348 

180S 

3718 

3t75 
363 

40^8 
4544 

5457 
59r3 



1252 
711 



1298 

1757 



2170 2216 
2628' 3674 

3087 3 1 33 

3546'35o2 
4oo4|4o5o 
4463 4509 
4q^i 4967 
538o5425 

583815884 
629r)j6342 
' 6800 
7259 
7717 



8196 
8653 
9110 

9567 
♦024 
o48i 
0037 
1394 

i85i 
23o7 
2764 

3221 

3677 

4i34 
4590 
5o46 
55o3 
5959 



7^8: 



72i3 

7671 

8199 
8587 
9045 
95o3 
9961 

0419 
0877 
1 335 
i7?3 

225o 
2708 

3i65 
3623 
4o8i 
4538 

4995 
5453 
5910 
6367 
6825 

7282 
77397785 



81 

8633 

909 

9549 

♦007 

o465 
0923 
i38i 
1 838 
2296 

2754 

32 1 I 

366o 

4l20 

4584 
5o4 

64t3 
687069 



7327 



8242 

9613 
0069 

©520 

0983 
i44o 

1897 
2353 
2810 
3266 
3723 

4179 
4636 
5092 
5548 
6oo5 



1 344 
i8o3 
2261 
2720 
3i79 

3637 
4006 
4554 
5oi3 
5471 

5930 
63^8 
6846 
73o5 
7763 



331 
S679 
9137 

oo53 

o5ii 
0960 
r436 
1 884 
3343 

3715 

4172 



5087 
5544 
6003 
6450 
16 

7373 



8387 
8744 
9301 

9658 
oii5 
0573 
1039 
i485 

1043 
3399 
3855 
33i3 
3768 

4225 

468i 
5i38 
5594 
6o5o 



1390 
1849 
23o7 
2766 

3225 

3683 
4r42 
4600 
5o59 
55i7 

5976 
6434 
6893 
735o 
7808 

8267 
8725 
9183 
9641 
0099 

o556 
ioi4 
1472 
1930 
2388 

2845 
33o3 
3760 
4218 



463o4675 



5i33 
5590 
6047 
65o5 
6962 

7419 



783o 7876 



8333 
8790 
9247 

9704 
0161 
0618 
[074 
i53f 

1988 
2444 
2901 
3358 
38i4 

4270 
4727 
5i83 
564o 
6096 



9141 



91879233 
960096469692 

OIo5:Ol5l 

o564o6io 
1023 1069 

i48i 1 527 
1940 F986 
23002445 
2858 2904 
33x63362 



0059 
o5i8 
0977 
i436 
1894 
2353 
2812 
3270 



37753821 
42334279 
46924736 
5i5o,5i96 
56095655 

6067I61 1361596205 



6525 6571 

" ' 7o3o 

7488 

7946 

84o4 



6984 
7442 
7900 

8358 
88i6!8862 



975o 
0307 
o663 
1 1 30 

1 577 

ao33 
3490 
3947 
34o3 
386o 

43i6 
4773 
5339 
5685 
6t4i 



3720 
4188 
4646 
5io5 
5563 

603 1 
6480 
6938 
73o6 
7854 

83i3 
8770 
9339 
96S6 
0144 

0603 
1060 
i5i8 
1976 
2433 

2891 
3349 
38o6 
4264 
4721 

5178 
5636 

65bo 
7007 

7465 

8379 
8836 
9293 9338 



9795 
0252 

166 
1622 

2079 
2536 
2992 

3449 
390! 

4362 
48i8 
5274 
573i 
6187 



6617 
7075 
7534 
7993 

845o 
8908 
9366 
98^4 
0282 



. |9784 
0197I0243 
o656 0701 
1160 



9320 

9778 
0236 

0694 

1153 

1609 
2067 

2525 

2982 
3440 
3898 
4355 

48i2 

5270 
5727 
6184 
6643 
7099 

7556 
8ot3 
8470 
8927 
9384 

9841 
0298 
0755 

I3II 
1668 

2125 

258i 
3o38 
3495 
3951 

4407 
4864 
532o|5366 

57761 5823 

6333I6278 



2i5o 
2610 



536i 
58io 
6276 
6733 
7190 

7647 
8io5 
8562 
9019 
9470 

0389 
o846 
i3o3 
1760 



12 3 4 



5 6 7 8 9 



Dili: 



Di£ 



DiflT. 4t Malt. 



t36 
f84 
a3o 
276 

322 

368 
4r4 



1 


45 


3 


9^ 


3 


1S5 


4 


tSo 


5 


235 


6 


270 


7 


3i5 


8 


36o 


9 


4o5 



DUCfcHolt. 



19 



146 



LOGARITHMS OF 1IUMBBR8. 



Nun. 
9530 

31 

aa 
a3 

24 

25 
26 
27 
28 
29 

oSSo 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

9540 
4i 
42 
43 
M 

45 

47 
48 

49 
9550 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 
9560 
61 
6a 
63 
64 

65 
66 

67 
68 
69 

9570 
71 
72 

73 
74 

75 
76 
77 
78 
79 
Nam. 



12 3 4 



6 6 7 8 9 



9TO63696415 



6826 
7382 

7738 
8194 

865o 
9106 
956a 
9790017 
0473 

i84o 

v;f. 

3ao7 
366a 
4ii8 
4573 
5oa8 

5484 
5o39 
6S94 
6849 
73o4 



9i5i 
9G07 

00630109 01 54 
o564o6io 



46194664 
5074 5 1 ao 

5Sa9 5575 56ao 5666 



5984 
6440 < 



680S6040 
73do 75y5 



7759780578507896 



6ai4 8a6o 
86698715 
91349170 



79 
33 



6871 
7337 
7783. 
8a398a8: 

86958741 



4209 42d4 43oo 



6o3o 



6485 653 1 
6986 



83o5 
8760 
9215 



a352 

2807 



4624 

5o7< 
553 
5987 
644i 

6895 
7349 

7803 



9165 



007 a 



05260571 
0934 0980 1025 

i388 
i84i 
3395 
2748 
33oa 



7875 
833i 

8787 883a 



919792439288 

965396989744 

0200 

o656 



loao 
1476 
1931 
3387 
3843 

3398 
3754 



60766131 

' 6576 
703 1 



835 1 
8806 
9261 



9579 9634 9670 971 5 9761 
0079013501700316 



0534057906a 5 



3398 

2852 



3361 33o7 
3716 3761 
4170^3154261 



4670 
5i34 
5578 
6o32 



6941 
7395 

7849 
83oa 
8756 

9310 



96199664 



aii8 



1066 

I 53 1 

1977 
3433 
3888 



i54 



4710 
5i65 



744 1 7486 



471 5 
5169 
5634 
6078 



64866532 



nil 
i567 

3033 
2478 
2934 

3389 

3845 



4755 
5aii 



7?4i 
8396 
885i 
9306 



0670 

[135 

i58o 
3o34 

3489 

2Q43 

3398 
3852 
43o6 

4761 
52i5 
5669 
6123 
6577 

703 1 
7485 



6986 
744o 
7894 
8348 
8802 8847 

92569301 



9755 

0208 

0662 

116 



8423 

8878 
9334 
9790 



0345 0391 



0701 

ii57 
i6i3 
2068 
2524 
3979 
3435 
389C1 
4346 
4801 
5256 

5711 

6167 



80238969 
93799425 
9835 9» 
0337 
0792 

1248 
1704 
a 1 59 
361 5 
3070 

3480 3536 



0747 
i3oa 
1 658 

3Il4 

2569 
3o35 



5347 

58o2 

6a58 

6633166676713 



53o2 

5757 
6112 



7077 
7532 

7987 
8442 
8897 
9352 

98o6[98! 

0361 

0716 
1 170 
1625 
3080 



3534 
3989 
3443 



3897 3( 
4353 

4806 485 1 



5360 
5714 



7077 
753 r 
7985 



i6i5 
3068 

3522 
3975 
3428 



6643 

7099 7i4i 



3o36 
4S91 



6598 
7054 

7510755^7601 
7966 8011 
"' 8467 



8o57 
85i3 



719 

7647 
8io3 



6780 
7236 
7693 
8i48 
85598604 

90159060 
94709616 



^36 
B2 

o636 
»749 

23u5 
2660 



3981 

4437 



48464892 



3571 

4027 

448a 



7168 
7633 

8078 
8533 
«988 
9442 



aia3 
8S78 
9033 



0607 
1261 
1716 



a58o 
3o34 
348< 



J489 
I943 
4397 



4443 



58o5 



62596305 



53o6 

5760 
61696214 
6633 6668 6714 

713a 7168 
7576 76a 2 
8o3o 

84398484 

8892)8938 898: 

9437 
989 

0299 o344 

07^- 

1 206 



9346 939a 

98009845 

oa54 

0707 

1161 



1660 
aii3 
a567 

3090 

3474 



a6a5 
3o8o 
3534 



8075 
8531 



0798 

135? 

1705 

3 I 59 

a6F2 
3o66 
35i9 



0438 
o883 

i33o 
1795 
3a5o 
3706 



3ii6 3i6i 



36i7 

4072 
45q8 
4983 



9*9719943 
o35a 



0398 
o85a 

I>37 



ai7i '2316 



3988 4o34 



4488 



48974943 
535i 53o- 



581 



T, 



2 
9o36i 
0390 ( 
0644 
1297 

1751 

2304 

2658 
3iii 
3564 



5393] 5438 

63o^6349 
67566804 
72137359 
7714 

8169 

8634 

9070 

94889533 

\9988 

0443 



I J^a 

1807 
3361 

2716 
3170 



2671 
3i25 
3579 3635 



4079 
4533 



5443 
63?o 



67596804 

72x3 7258 

7667 

813 



7712 
8166 
85758620 
90299074 



9528 

0889 

i342 
1796 

2230 
3703 

3i56 
36io 



01234 56. 7 89 



Ditn 



DiS:4fcli«|l. 



4& 

>84 
23o 
276 

322 

368 
4i4 



45 

186 
226 
270 
3i5 
36o 
4o5 



Dim 



Ditr. & MoAt. 



LOGARITHMS OP ir¥3[BEHS. 



147 



Num. 

9580 

8i 
Si 

a4 

85 

m 

37 
88 
89 

95 9> 

9^ 
9. 

9^ 

97 
98 

9? 

9600 

0[ 

ot 
o3 
04 

o5 
06 

07 
oS 
09 

II 
la 

i3 

i4 

i5 

■6 

'7 
ifi 

19 

9620 
If 

23 
33 

a4 
^5 

36 

37 

38 

39 

9630 
3[ 

32 

33 
34 

3^ 
35 
37 
38 

39 







2 3 4 



5 6 7 8 9 



981 3655 
4io8 

5oif) 
!j46a 



3700 
4t54 

55i3 



Soil 5966 

6817J6873 
7380 7336 

7733777a 

6[3fi8j3i 
8639:8^384 
909^19137 
9544 1 919^1 
9997 #043 



98aa45n 

im 
(807 
2iQa 

37T1 
3t65 
3rji7 
4069 
45j3 



49^ 
0948 

t w 

r853 
a3o7 

J758 
33 ro 
3663 
4ii5 
4567 



49745019 
5436^547 
58^8 5qa 3 
633o 
678a 

7334 



8 J 38 
6589 
9o4r 

# ^5 

983 030 
o848 
r399 

I75i 
33oa 
2654 
3Tn5 

3556 

4007 
4459 
49 TO 
536 
S81: 

6263 
6714 
7165 
7616 
8066 

85t7 
8968 
9^^9 



773i 
8(83 
863 
9086 



3375 



9990 
044 ( 
0S93 
1 344 
[796 

3347 
3699 

3i5() 
3tk)j 



45o4 

5857 
63o8 

6759 
7110 
7661 

8562 
90[3 



5559 

6oi3 
6465 
6918 
737* 

7aM 

81 

8729 
9182 
9(>j{5 
U088 

o54o 
0993 
1445 
1898 
23So 

aBfjl 
3355 
3707 
4(6o 

46[3 

5o64 
55 1 6 
5968 
6420 
6817 6873 

7279 7334 



374613791 13836 
419942444390 
46:>2'469lii474l 
5io6 5i^i|5i96 
56o4"^ 



fio57 
65 10 
6963 
7416 



78697914 

8333 8367 
8775 8830 



92^8 
968fj 
oi33 

a586 
m3S 

c49 

1943 

1396 

3848 
33tMi 
3753 
42o5 
4657 

5ti>9 
556[ 
6oi4 
6466 
6918 



7776 
8s28 
8680 
91 32 



9538 95s ? 



*o35 
0486 
0938 
1390 

[34 
293 
2744 
1195 
3646 



4o53 4098 



4549 
5ooo 
545 r 
5902 

6353 
68n4 
7255: 
7706 
81 57 
BSfrr 
9o5B 



9464 9^*^ 
9714199'^ 9 
9S4o33ci[>365ifv4io 



5649 

6 1 03 

6555 
7008 
746 r 



782 

62t3 

8735 

9177 

9628 

0080 

o53: 

0983 

1435 

1886 

2338 
37S9 

l24o 
369a 

4 1 43 
4591 
5045 
5496 
5947 
6398 



9373 
9736 
0178 

o63i 
io83 
t536 
1988 
344* 

3S93 
3146 
3798 
435o 
47^1 

5t55 
5607 
6059 
65[i 
6963 



73697415 



867 
fi3iS 
8770 
9213 

9^7^ 

OT35 

o577 
1018 
i4So 

T93i 
2383 
28I4 
3?85 
3737 
4 [88 
4639 
5(J9r> 
554t 
5992 

6443 



73cH:i 
775 1 
8303 

865 s 
9[o3 
9554 



7345 
779S 
8347 
869T 
9^48 



*oo4]0€>49 
o455lo5oo 



38821392713972 4oi8|4o63 
4335 4J8o 44^6 4471U516 



478«^4834'4&79'4ga4 

- ' ' - 533215377 

5785 5831 

6333 6284 
66g[ 6737 
7144 7»9*^ 
7597 7643 
8050J8095 

85o38548 
89 56 900 [ 
9409 19^54 
9861 197}7' 
o3[ 40359 

0767 oS [ 2 
1219 1264 
1672 S7i7 



5a4i 
5695 

61 48 
6601 

7^54 
7507 
7960 

84i2 
6865 
9318 
9771 

0233 

0676 
TI39 

t58i 
3o34 
i486 

3?? 

3B43 
4295 
4748 

5 200 
5652 
6104 



5i87 
5740 
6 [93 
6646 

???! 

BooS 

8458 
8u[] 
91^33 
9816 
0269 

0731 
i[74 
[626 
3079 
253 1 

39fl4 
3436 
3888 
434 [ 
479^ 
5345 
5697 
6i49 



6556 6601 
7008 7^53 



746o 
791^ 
8364 
88i5 



75o5 
7957 
8409 
8860 



93679312 

9764 
aai6 
0667 
TrT9 
[670 



97(9 
0170 
0633 
1073 
1 535 



1976 
2428 
3879 
333 1 
3783 

4=33 

4684 

5[3 

5586 

6037 

6488 



302 2 
1473 
3934 



2033 

3074 
3537 



443 

4883 

5335 

57S7 
6240 



3ia4 
3577 
3029 
3481 
393^ 
4386 
4838 

5390 

574^ 
5[9| 
664^1 6697 
709817143 

755o 7595 
8003 8047 
8454 8499 
89068951 
94o3 

9854 
o3o6 
0757 
[209 
l66o 



4970 
5423 
5B76 

6339 
6782 
7335 
76S8 
3i4i 

8594 
9046 
9499 
9952 
o4o5 
oS57 
i3io 
[763 
22 1 5 
2667 

3tT9 
3573 



3979 4024 



9357 
9809 
036 [ 
0712 
1164 
16 [5 

3067 
35(8 
7969 



3 3-6, 343 [ 
3827 3873 



437« 

4739 
5[8o 
563 1 
6083 

6513 



43a3 4368 
47744819 

533515271 

5677 5723 
6128 6173 



69396984 
73907435 



7836 
8337 
8788 



784t 
8393 

8743 
919319238 
964419689 
0095 01 4o 
0545*0590 



an? 
2563 
3oi5 
3466 
3917 



6579 
7039 
7480 
793 [ 



6634 
7075 
7535 
7976 



838a^&4'i7 

8833 8878 
9383:9328 
9734 9779 
01 85 o33o 
o635 0680 



4476 
4938 

'538[ 
5833 
6385 

fi737 
7189 

764i 
8093 
8544 
8995 
9448 



ri35i 
o8o3 
[254 
[706 

3 [57 
2608 
3o6o 
35 1 1 
3963 

44t3 
4B65 
53 16 

5767 
63j8 

6669 

7130 

7571 
803 1 

3473 
8923 
9^74 
9834 
0375 
0725 



12 3 4 



5 6 



8 9 



Diff. 



mtr. 



Diff. 4t Molt. 



r 


46 


2 
3 


.t 


4 


184 


5 


a3o 


6 


376 


7 


333 


8 


368 


9 


4U 



I 


45 


1 


90 


3 


rS 


4 


l8o 


5 


335 


6 


370 


7 


3[5 


8 


36o 


9 


4o5 



DfC&Mult, 



148 



LOGARITHMS 07 NUMBERS. 



Nam. 

9640 

4i 
4a 
43 
44 

45 
46 

47 
48 

49 

96 5o 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

9660 
61 
6a 
63 
64 

65 

66 

.67 

68 

69 
9670 

71 

73 
74 

75 
76 
77 
78 

79 
9680 
8t 
8a 
83 
84 

85 
86 

87 
88 
89 

9690 

91 
9> 

$ 

98 

99 

N«iii. 



12 3 4 



5 6 7 8 



984 0770 
xaai 
167 1 
2ia2 
a57a 



3oa3 
3473 
3923 
4373 
48a3 

5273 
5723 
6173 
6623 
7073 

7523 

• 7973 

8423 

8873 
9322 

• 9771 
9850221 

0670 

II30 

i569 

2019 
2468 
2917 
3366 
38i6 

4265 
4714 
5i63 
56i2 
6061 

65ro 

6959 
7407 
7856 
83o5 

8754 
9302 

• 9651 

^^ 

0996 
1445 
1893 
234 
I 2790 



o8i5 
1266 
1716 
2167 
2617 

3067 
35i8 
3968 
44i8 

4868 

53i8 
5768 
6318 
6668 
7118 

7568 
8018 
8467 

9367 



98169861 



0860 
i3ii 
1761 
2212 
2662 

3lI2 

3563 
4oi3 
4463 
4913 

5363 
58i3 
6i63 
6713 
7i63 

7613 
8o63 
85i2 
8962 
9412 



0266 
0715 
ii65 
i6i4 

2o64 
25i3 
3962 
3411 
386i 

43 10 
4759 
5308 
5557 
6106 

6555 
7cx>3 

7452 
7901 
835o 

879S 
9247 
9696 
0144 
0593 

io4i 
1489 
1938 
3336 
3834 



3338 3383 

3686 

4i34 



4582 
5o3o 



3731 
4179 
4627 
5075 

5478I5523 
5026 1 597 1 
6374,6419 
68226867 
727o'73i4 



o3ii 
0760 
1210 
1659 

2108 
2558 
3oo7 
3456 
3905 

4355 
48o4 
5353 
5702 
6i5i 

6600 
7048 

7497 
jQiCy 
0395 

8843 
9392 
9740 
or89| 
o637 

1086 
i534 



0005095 1 
ij56 1401 



1806 
2257 
2707 

3i57 
36o8 
4o58 
45o8 
4958 

5408 
5858 
63o8 
6758 
7208 

7658 
8107 
8557 
9007 
9457 

o356 
o8o5 
1255 
1704 

2i53 
3603 
3o53 
35oi 



i85i 

2302 
2752 

32oa 
3653 
4io3 
4553 
5oo3 

5453 

6?53 
68o3 

7253 

77o3 
8i52 
8602 
9052 
9502 

^5i 
o4oi 
o85o 
i3oo 
1749 

2198 
2648 

3097 
3546 



4399 
4849 
5398 
5747 



6644 
7093 
7542 
7991 
8440 



9337 

978'> 
0334 
0683 

ii3i 
1 579 



[9S3 2027 
343 1 1 3476 
28792924 

3327I3372 
3776,3820 
43244268 
4672I4717 
5i2o5i65 

5568J56!3 
6016,6060 
646465o8 
691 1 6956 
7359I7404 



3950 3995 



4444 
4893 
5342 
5791 



61966240 



6689 
7i38 

7587 
8o36 
8484 

8933 
9383 
9330 
0379 
0737 

T76 
1634 

2072 

2521 
3969 

3417 

3865 
43i3 
4761 
5209 

5657 
61 o5 
6553 
7001 
7449 



0996 
i446 
1896 
2347 
2797 

3247 
3698 
4i48 
4598 
5o48 

5498 



41934238 



6: 

6848 
7398 

7748 
8197 
8647 
9097, 
9546 9591 

♦04 1 



4643 
5093 

5543 
5993 
6443i 
6893 
7343 

7793 
8242 
8692 
9142 



9996 

0446 
0895 
i345 
1794 
a243 
2693 
3i42 
3591 
4o4i> 

4489 
4q36 
53d7 
5836 
6285 



7i83 
7632 
8081 



8978 

9426 
9875 
o334 
077a 

I230 
1669 

2ri7 
2565 
3oi4 

3462 
3910 
4358 
4806 
5254 

5702 
6i5o 
6598 
7046 
7493 



o4 
1491 
iQ4a 
aJ92 
284a 

329a 

3743 



96369681 
0086 



0491 
0040 
1 389 
1839 

2288 
2737 
3187 
3636 
4o85 

4534 
4983 
5432 
588 1 
633o 



6734 6779 



7228 
7677 
8125 



8529 8574 



9023 

9471 
9920 
c>368 
0817 

1265 
1714 
2163 
96 1 (^ 
3o58 

3507 

3955 

44o3 

485 

5399 

5747 
6195 
6643 
7090 
7538 



1086 
1 536 
1987 
a437 
3887 

3338 
3788 



4688 
5i38 

5588 
6o38 
6488 
6938 

7388 

7838 
8287 
87i7 
9187 



o535 
0985 
1434 
1884 

2333 
2782 

3233 

368 
4i3o 

4579 
5028 
5477 
5926 
6375 

6824 

7273 
7722 
8170 
8619 

9068 
9516 
9965 
o4i3, 



i3i 
i58i 
ao32 
248a 
2932 

3383 

3833 
4283 
4733 
5i83 

5633 
6o83 
6533 
6983 
7433 

7883 
8332 
2 
9232 



oi3i 
o58o 
io3o 

»479 
1929 

2378 



9 

1176 
1626 
2077 
2527 
2977 

34a8 
3878 
43a8 
4778 
5aa8 

5678 
61 a8 
6578 
7028 
7478 

7oa8 

8377 
8837 
9277 
9726 

0176 
o6a5 
1075 
1 524 
»974 

2*423 



Diff. 



DULJfcMolL 



2827 2872 



3277 
3726 
4175 

4624 
5073 

5522 

5971 

6420 



73i 
7766 
8215 
8664 

9113 
956 T 
♦010 
o458 



0862 0907 

1 35") 
f8o3 

3253 



i3io 

1758 

330-7 

3655 2700 
3io3 3f4» 



355 
4ooo 

4448 
4896 
5344 

579a 
6240 



71 35 
7583 



3596 
4044 
4493 
4941 
53b9 

5836 
6284 



66876732 



7180 
7628 



3321 
3771 

4220 
4660 

5ii8 
5567 
6016 
6465 

i4 

7363 
781 1 
8260 
8709 

9' 57 
9606 
oo54 
o5o3 
0951 

i4oo 
1 848 
2296 
5745 
3193 

364i 
4089 
4537 
4985 
5433 

588i 
6329 

6777 
7225 
7673 



45 



46 

.% 
i84 
aSo 

a76 

32a 
368 
4i4 



45 
180 

225 
270 

3i5 
36o 
4o5 



1234 56789 



DiflT. DiCJtMoh. 



LOGARITHMS OF NUMBERS. 



149 



Nan. 

9700 

oi 

03 

o3 
o4 

o5 
06 
07 
08 
09 
9710 
II 
12 
i3 
i4 

i5 

16 

17 
18 

19 

9720 

31 

32 
23 
U 
35 

26 
27 
38 
29 

97 3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

9740 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

9750 

5i 

52 

53 
54 

55 
56 

57 
58 
59 

Nam. 



12 3 4 



5 6 7 8 9 Diff. 



9867717 
8i65 
86i3 



776217807 
82108255 



86578702 
9060 9105 91 5o 
9508 9553 9597 



• 9955 

987 o4o3 

o85o 

1298 

1745 

2192 
2640 
3087 
3534 
3981 

4428 
4875 

5322 



♦000 
o448 
0895 
1 342 
1790 

2237 
2684 
3i3i 

3579 
4026 

4473 
4920 
5367 



576915814 
62166261 



6663 
7109 
7556 
8oo3 
845o 



9343 

• 978Q 

9880236 

0682 

' 1128 
1575 

«02I 

3467 
2913 

336o 
38o6 
4253 
4698 
5i44 



67P7 
7i54 
7601 
8048 
8494 

8941 
9^87 



o325 
0771 

r2i8 

16 

2110 

2556 

3oo3 

^49 
3895 

4341 
4787 
5233 

5634 567< 
6o8oi6ia! 



0280 
0727 

1 173 
2066 

25l2 
2958 

3404 

385o 
4296 
4742 
5i88 



648 1 
6927 
7373 

7818 
8264 
8710 
9155 
9601 



98900460001 
o4q2 o536 
oo37 
i382 
1828 



3273 

3718 



3i63 3208 



36o8 
4o53 



0045 
0492 
0940 
1I87 
1 834 

2282 
2729 
3176 
3623 
4070 

45i7 
4964 
54ii 
5858 
63o5 

6752 

764? 
8092 
85S9 

8985 
9432 



9834 9878 



6526 
6972 

7417 



6570 
7016 
7462 



785217896 
8299*8344 




0090 
0537 
0985 
i432 
1879 

2326 

2774 

3221 

3668 
4ii5 

4562 
5009 
5456 
5903 
635o 

6797 
7243 

8137 
8583 

9o3o 
9477 
9023 
0370 
0816 

[262 
1709 
2i55 
2601 
3o47 
34q3 

3939 
4JH6 
483 1 

5277 



01 34 
o582 
1029 
1477 
1924 

2371 
2818 
3266 
3713 
4160 

4607 
5o54 
55oi 
5o48 
6395 

684i 
7288 
7735 
8182 
8628 

9075 
9521 
9968 
o4i4 
0861 

i3o7 
1753 
2200 
2646 
3092 

3538 
3984 
443o 
4876 

5322 



5723 5768 

6169 6214 
66i5666o 



706 
75o6 



7863 7008 7052 7997 
83o9 8353 839S 8443 
8754,8799 8843,8888 



7io5 
755i 



9200 9244 
96459690 



0981 
1427 
1872 



23i7 
2762 



3653 
4098 



9289I9333 
9734 9779 



oi35 
o58i 
1026 
1471 
1917 

2362 

2807 

3252 

3697 

4i42 



0180 
0625 
1071 
i5i6 
1961 

2406 
285 1 
3297 
3742 
4r87 



0224 
0670 
iii5 
i56o 
2006 

245i 
2896 
3341 
3786 
423i 



7941 
8389 
8837 
9284 
9732 

0179 
0627 
1074 

l52I 

1969 

2416 
2863 
33io 
3757 
42o5 

4652 

S0Q2 



6886 
7333 
7780 
8226 
8673 

956? 
♦012 
0459 
0905 

i352 
1798 
2244 
2690 
3i36 



7986 
8434 
8881 

^ 

0224 
0671 

i56? 

20i3 

2461 
2908 
3355 
38o2 



42494394 

46964741 

' '~5i88 

5635 

608: 



5i43 
5590 
6037 
6484 

6o3i 

7^77 
7824 
8271 
8717 

9164 

961 

oo57 

o5o3 

0950 

1396 
1842 
2289 
2735 
3i8i 



3583 3627 
4029 4073 
4475I4519 
4g2il>i965 
5367|54i 

5ft 1 3| 5857 

625863o3 

6704 

7i5o 

7596 

8o4i 

8487 



6749670: 
7104 723< 



7194 
7640 

8086 

853i 



8032,8977 
9378'9423 



8o3i 
8478 
8926 

9|74 
9821 



8076 

8523 

1268971 



9418 
9866 



0269 
0716 
ii63 
1611 
2o58 

25o5 
2953 
3400 
3847 



o3i3|o358 

0761 

1208 

i656 

2io3 



255o 

1977 
3444 
3892 
4339 

4786 483o 



6975 

7422 
7860 
83i6 
8762 

^?? 

0102 
o548 
0994 

i44i 
1887 
2333 
2780 
3226 

3672 
4ii8 
4564 
5oio 



5233 
568o 
6126 
65296573 



7020 
7467 
7914 
836o 
8807 

9253 
9700 
oi46 
o5o3 
10J9 

i485 
1932 
2378 
2824 
3270 

3716 
4162 
4609 
5o54 



5456 55oo 



5902 
6348 
3 



7239 
7685 



5o46 
639; 

6838 
7284 
7729 



8i3o8i75 
857686; 



9823 

0269 
0714 
1 160 
i6o5 
2o5o 

2495 
2940 
3386 
383 1 
4276 



9022 
9467 
99i3 

o358 



9868 

o3i3 
07590803 



204 
1649 
2095 

254o 
2985 
343o 
3875 
4320 



9066' 

9512 

9957 

0402 



1249 
i6o4 
2139 

2584 
3o3o 
3475 
3920 
4365 



8i20 

8568 
9016 



9911 



1293 
1738 
92184 
2629 
3o74 
3519 
3964 
4409 



5277 
5724 
6171 
6618 

7065 
75ii 
7958 
84o5 
885i 

9298 
9745 
0191 
0637 
1084 

i53o 
1976 
2423 
2869 
33i5 

3761 

4207 
4653 

64?7 
6882 

7328 

7774 

8220 
8665 
9111 
9556 
♦002 

0447 
0892 
1 338 
1783 
2228 

2673 
3ii9 
3564 
4009 
4454 



01234 56789 



DiflT. 



Dim ft. Malt. 



45 

iSq 
225 
270 
3i5 
36o 
4o5 



T 


44 


2 


88 


3 


i3a 


4 


J76 


fs 


3 30 


6 


264 


7 


3f>8 


8 


352 


9 


396 



DiflT. k, Molt. 



»• 



150 



LOGARITHMS OF NUMBERS. 



lira. 

9760 

6i 

63 

63 
64 

65 
66 
67 
68 
69 

9770 
71 
72 
73 
74 

75 
76 
77 
78 
79 
9780 
81 
83 
83 
S4 

85 

86 

. 87 

_^8^ 



01234 56789 



9790 

91 
93 

93 
94 

90 

98 

99 

9800 

01 

03 

o3 

04 

o5 
06 
07 
08 

09 

98 to 
1 1 

12 

i3 
i4 

i5 
16 
17 
j8 

19 

Hum, 



989 4498 4543 4587 4632,4676 
4q43 4988 5o32 5o77|5i2i 
5388 5433 5477' 553 1 1 5566 
5833 58771593359666011 
6378,6333636764116456 

6733 6767 681 1 '6856 6000 
7167 731 3!7356,73oi 7345 
761 3 7656 7701 17745|7790 
805-78101 8145 81008334 
85oi 8546 8590 8634J8679 

8946 899(^9035 9079 91 33 
93009435947995^39568 



• 9335987099339968 

990 0379 o33 3 o368 o4 1 3 

0733 0768^08 1 3 0857 



1 168 

161 3 

3o56 
25oo 

2944 



1313 

i656 

3IOI 

3545 
3989 



1357 

1701 

45 



i3oi 
1745 
3189 



3389 3433 
38331 3S77 

43774331 
4721I4765 



5i64 

56o8 
6o53 
6496 
-, 6940 
7383 

7837 
8271 
8714 
91 58 
• 9601 

99' <»44 
o488 
0931 
i374 
1818 

a36i 
2704 
3i47 
3590 
4o33 



358913634 
3o33 3078 



3477 
3931 
4365 



3533 

3966 
4410 



5309 

5653 
0096 
654o 
6984 
7428 



48094854 
53535398 

56975741 
6i4i6i85 
65856639 



7038 

7472 



7073 
75i6 



7871 7916 7960 
83i 5 83598404 



8758 
9303 
9645 

0089 
o533 
0975 
1419 
1863 

33o5 
2748 
3.9 
3634 

4077 



88o3 



9690 

oi33 
0576 
1 030 
i463 
1906 

3349 
3793 
3336 



4476 4520 
49194963 
536354o6 
58o5 5849 
634716393 

66q.'>6734 
7i337»77 
7575 7630 
80188063 
846ij85o5 

Boc)3,8o47 

93,<5 9390 

■ 97889833 

^1 o^3o'o275 

0673I0717 



93469301 



9734 

0177 
0631 
1064 
i5o7 
1951 

33o4 
3837 
3380 



36793733 



4l23 

4565 
5007 
545(: 
5893 
6336 



7331 
7664 
8107 



8993 
9434 
9876 
o3i9 
0761 



8847 



4166 

4609 
5o52 
5495 
5937 
638o 



67796833 



7366 
7708 
8i5i 



85498593 



9o36 
9478 
9921 
o363 
o8o5 



♦013 
0457 
0901 

1 345 
1790 
3334 
3678 

3l22 

3566 
4oio 
4454 
4898 
5343 

5786 
633o 
6673 

7117 
756i 

8004 
8448 
8891 
9335 
9778 

0222 
o665 
1108 
1 553 
1995 

3438 
3881 
3334 

3767 
4310 

4653 
5096 
5539 
5982 
6434 

6867 
73io 

7752 
8ig5 



9080 
9522 
9965 
0407 
o85o 



4731 4765,4810 485414899 
5i66 53ioi5355 5299!5344 
56105655569957445788 
6o55 6100 6144 61896233 
65ooj6545.6589 6634J6678 

6945 6989*7034 7078171 23 
739017434 7478 7533(7567 
7834:7879 7923 79681801 2 
83798333 8368 841318457 



8733 

9168 
9613 
oo57 
o5oi 



8768.88128857 
931 2'9357 9301 
96579701 9746 
<>ioi;Oi46oioo 
o546!o5oo 0634 



36ii 
4o55 
4499 
4942 



0946 0990J 1034 1079 

i834 
2278 
2723 
3167 



1434 1479 » 533 
1878110331967 
3333 3367 34ll 



2767 

33II 



3811 3856 
3355 33oo 



365536993744 
4099141434188 
4543 4587 4633 
4987,5031 5076 



5386|543i|5475 553o 

583o!5875'59i9'5963 
6374 63i8 6363 64o7 
6718,6763,68066851 
7161 73o6'725o7295 
76o5|7649|7694|7738 



8o49'8o93,8i37 8i83 
849318537 858 1 18635 _ 
8o36898o|9035!9o699 
9379J9434i9468 95i3 ' 
98339867 



0366 
0709 
ii53 
i5o6 
2039 

2482 
2935 
3369 
38i3 
4355 



o3io 
0754 
1197 
i64o 
2o83 



9956 



9911 

o355 „ 
07980843 



1241 
i685 
2128 



2527 2571 
297030 1 4 
34133457 
3856, 
42994343 

46974743I4786 
5i4o,5i85 5329 
5583,5637[5672 
602660706115 



39003944 
4343 4387 



6469 

6911 
7354 

7797 
8339 
8682 8726,8770 



65i36557 

6956,7000 
73987443 
784 1 17885 
82848328 



9124 
9567 
♦009 
o45i 
0894 



91699213 
9611I9655 
00530098 
04960540 
0938I0982 



8901 
9346 

^s 
0679 

1123 

i568 

301 3" 

3456 
3900 
3344 
3788 

4333 

4676 
5 1 20 
5564 

6008 
6452 
6895 
733o 
7783 

8226 

8670 

ii3 

9557 
♦000 



1286 
1729 
2172 

2615 
3o58 
35oi 



4387 

483o 
5273 
5716 



6603 

7044 
7487 



8372 
881 5 

9257 

9699 

0143 

o584 

036 



03990443 

"' 0887 

i33o 

773 

2216 



2660 
3io3 
3546 
3989 
4432 

4875 
5317 
5760 



61596203 



6646 

7088 
753i 



79297974 



84i6 
8859 

9301 
9744 
0186 
0628 
1071 



01234 56789 



DiC 



DUnitMalL 



4S 

,?? 
160 

335 
370 

3i5 
36o 
4o5 



44 

B8 
rJ? 
176 
330 

^^ 
3o8 
3Sa 
396 



Diff*. 



DimfcMnh. I 



LOQARITHMS OF NUMBERS. 



151 



Nam. 

9820 

ai 

22 
23 
24 

25 
26 
27 
28 

29 
9830 

3i 

32 

33 
34 

35 
36 
37 
38 
39 

9840 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

9850 

5i 

52 

53 

54 

55 
56 

57 
58 

59 
9860 
61 
62 
63 
64 

65 
66 

67 
68 

69 

9870 

71 
72 

73 
74 

75 
76 
77 
78 
79 



12.34 



5 6 7 8 9 



992iii5 

1557 

'999 
a44i 
2884 

33a6 
3768 
4210 
465 1 
5093 

5535 
5977 
6419 
6860 
7302 

7744 
8j85 
8627 
9068 
9510 

9930392 



33703414 

38i2 



4254 



460647404784 
5i38 5182 5226 



55795624 
6021 6o65 
64636507 



7788 



82298274 



8671 
91T2 
9554 

o436 
0878 
i3i9 
1760 

2201 
2642 
3o83 
3524 
3965 

4406 

4847 
5288 
5729 
6126 6170 



oJo: 
o8i 
1275 
1716 

21 57 
25o8 
3039 
3480 
3921 

4362 
48o3 
5244 
5685 



6566 
7007 
7448 
7888 
8329 

8769 

9210 

• 9650 

0971 
1411 
i85i 
229T 
2731 

3172 
36i2 
4o5i 
4491 
49^1 

5371 
58ii 
625i 
66qo 

71 5o 



1 159 
1601 
2044 

2486 
2928 



I203 

i646 
2088 
253o 
2972 



1248 
1600 

2IJ2 

2574 
3oi6 

3458 



38563000 
42984^42 



096 



8715 
91 56 
9598 

039 oo83 



o48i 
1 36. 



6610 
7o5i 
749a 
79J2 
8373 

88i3 
9254 
9604 
oi34 
0575 



7832 



5668 

61 

6551 

7435 

7876 
83i8 

8759 
9201 
9642 



22 

1804 

2245 
2687 
3128 
3569 
4oio 

445o 
4801 
5332 
5773 
6214 

6654 
70o5 
7536 
7976 
8417 
8857 

92( 

0178 
0619 



o525 
0966 
1407 



ioi5 1059 
1455 i409 
18051939 
2335 2379 
2775 2820 



3216 
3656 



4975, 

54i5 
5855 
6295 
6734 

7'74 



6778 
7218 



2200 
273 1 
3172 
36i3 
4o54 

4495 
4935 
5376 
58i7 
6258 

6608 

71^9 
758o 
8020 
846i 

8901 
9^42 
9782 
0222 
o663 

iio3 
1 543 
1983 

2423 

2864 

33o4 
3744 
4i83 



3260 
3700 
4 1 39 

'45794623 
5oio 5o63 

54^ 55o3 
5899 5943 
6338 6382 



6822 
7262 



1292 
17^4 
2176 
2618 
3o6o 

35o2 
3o44 
4386 
4828 
5270 



5712 
i54 
65o5 
7o37 
7479 
7920 
8362 
88o3 
9245 
9686 

0128 
0569 
loio 
i45i 
1893 

2334 
2775 
3216 
3657 
4098 

4539 
49S0 
5420 
586i 
63o2 

6743 
7i83 
7624 
8064 
85o5 

8o45 
9386 
9826 
0266 
0707 

Ii47 
1 587 
2027 

2467 

2908 

3348 
3788 
4227 
4667 
5107 

5547 
5987 
64a6 
6866 
73o6 



i336 
1778 
2220 
2662 
3io5 

3547 
3989 
443 1 
4872 
53i4 



i38o 
1822 
2265 

2707 
3i49 

3591 
4o33 
4475 
4917 
i358 



9289 9333 
97309774 



7125 

7567 

80098053 

8450--* 

8802 



0172 
o6i3 
io54 
i4o5 
1937 

2378 
2819 
3260 
3701 
4142 

4583 
5o24 
5464 
5905 



02 t6 
o657 
1098 
1 540 
1981 



2422 
2863 
33o4 
3745 
4186 423o 



4627 
5o68 
5509 
5o49 



683 1 

7271 
7712 
8i52 



63466390 

6787 
7227 
7668 
8108 
85498593 

89899033 
9430 9474 
9870 
o3io 
0751 

1191 
i63i 
2071 

25ll 

2952 



3392 
383 1 
4271 
4711 
5i5i 



6o3 



5756 58oo 
6198,6242 
6640 -""- ' 
7081 
7523 

7964 
84o6 
8847 



1424 

1867 

23o9 

275 

3193 

3635 
4077 
4519 
4961 
54o3 

5844 
6286 
6728 
7170 
761 1 



^\i 



1235 
1675 

2Il5 

2555 
2996 



3436 
3875 
43i5 
4755 
5195 

5635 

6075 

647o65i46556| 

6910,695416998 

7350I7394 74381 



84q4 
8o36 
9^77 
9819 

0260 
0701 
1 142 
1 584 
2025 



2466 
2907 
3348 
3789 



4671 

5lI2 

5553 
5993 
6434 

6875 
73i5 
7756 
8107 
8637 

9077 
95i8 
9958 
o399 



079508390883 



1279 

1719 

2159 

2,^ 

3o4o 



14^ 
1911 
2353 
2705 
3237 



i5i3 
io55 

2307 

2839 
3281 



3679 3723 



4l2I 

4563 
5oo5 
5447 
5889 
633o 
6772 
7214 
7655 

8007 
8538 
8980 
9421 
9863 

o3o4 
0745 
1 187 
1628 
2069 

25lO 

3392 
3833 
4274 

471 5 
5i56 
55o7 
6o37 
6478 



a 



7359 
7800 
8241 



9122 
9562 
♦002 
0443 



1 323 
1763 

2203 
59^2643 



3480 
3019 
4359 
479 

523 

5679 
0110 



3o84 

3524 
3963 
44o3 
4843 
5283 

5723 
6i63 
6602 
7042 

7482 



4i65 
4607 
5o49 
5491 
5933 
6375 
6816 
7258 
7699 

8i4i 
8583 
9024 
9465 
9907 
o348 
0789 

I23l 

1672 

2Il3 

2554 

34?6 

3877 
43i8 

4759 
5200 
564i 
6082 

6522 



196963 



74o4 
7844 
8285 
8725 

9166 
9606 
0046 
0487 
0927 

f367 
1807 

2247 

2687 
3i28 

3568 
4007 
4447 
4887 
5327 

5767 
6207 
6646 
7086 
7525 



NoaL 01234 56789 



Di.T. 



44 



Dim 



Diir. a. Malt. 



I 


44 


2 


88-, 


3 


1 32 


4 


176 


5 


220 


6 


264 


7 


3o» 


8 


352 


9 


396 



I 


43 


2 


86 


3 


129 


4 


172 


5 


2l5 


6 


258 


7 


3oi 


8 


344 


9 


.387 



Diff. k, Mah. 



152 



LOGARITHMS OF NUMBBRS. 



Nam. 

9880 

8i 
82 
83 
84 

85 
86 

87 
88 

89 

9890 

. 9' 
92 

9^ 
94 

95 
96 

9Z 
98 

99 

9900 

01 

02 

o3 

04 

o5 
06 

07 
08 

09 
9910 
II 
12 
i3 
i4 

i5 
16 

17 
18 

19 

9920 

21 

22 

23 
24 
25 

26 
27 
28 
29 

9930 

3i 

32 

33 
34 

35 
36 

37 
38 

39 

Nam. 



12 3 4 



5 6 7 8 9 



094 7569 7613-7657 7701 7745 
80098053809781418185 



844^8493 

8888;6o32 

93379571 

• 9767'98ii 



8536 858o 8624 
8976 90*0 9064 
941594599503 

98559809's 



995 0206 6250 o?q4 63^8 6382 
0645,06890753 0777 0821 
io85 1 128I1172 12161260 
I524,i568,i6i3;i656i690 

I I 

1 963 2007 . 205 1 ! 2005 3 1 39 
2403 2446 2490" 3534 3578 

284 1 1 3885 3929 3973 3oi7 
3280,3334 3568 3413 3456 
37i9|3763 38o7 3i)5i,3895 



7789783378777931,7965 
8229827383178361,8405 
8668 871 3 8756 8800,8844 
9108 9152 9196 9239 9283 
9547,959' 19635 9670 9723 



4i58 
4597' 
5o36 
5474 
5913 

6353 
6791 
7329 
7660 
8106 



9986 ♦o3o 
0436 0470 
08650909 
i3o4i348 

17431787; 

2183 3336 
3633'?665 
3o6ri3io4 
35oo3543 
39393982' 



oo74oii8'oi62 
o5i4o557Jo6oi 
oo53o997|io4i 
i3o3 i436ii48o 
18J1, 187511919 

2 270' 23 1 4 2358 
270927533797 
3i48 3i93!3336 
3587;363i 13575 
'4036' 4070,41 1 4 



4303434643904334 
464 r;4635 47394772 
5o8o 5i33 5i67 53ii 
55i8 5562 56()6 565o 
5957 6001 6045 6089 

63o6 644o 6484 6537 
6834687860326966 i 
•73i7l7i6i|74o5 
7755 7799'-<:>43 
8i94|823j)j8382 

8589 8633'8676,873o 
9027 91)71191 1 519159 
946r»|95o9 9553'9597 



7373 
7713 
8i5o 



99«4 
o343 



07800834 

1363 

I70I 
3139 

2577 



9048999^ 



o386|o43o 



3oi5 3o59 



9974 
o4ii 
o848 
1285 



♦017 
0455 
0893 
1329 

1766 

2203 
2640 

) 3o34|3o77 
^347113514 



0868 
i3o6 
1744 
3182 
2621 



3453 
3891 
4339 
4766 

5304 
5643 
6080 
65i7 
6955 

73497393 
7786 7830 

8368 

8705 

91439186 

9536958096: 



3407 
3935 
4373 
4810 

5348 
5686 
6134 
656i 

6999 
7436 
7874 
83ii 
874? 



♦o35 
0474 

0912 
i35o 
1788 
2226 
2664 

3 102 
354o 
3978 
4416 
4854 

5292 
5730 
6167 
66o5 
7043 

7480 
7918 
8355 
8703 
9200 

9667 
oio5 
o542 

7rt 

1 854 
2391 
3728 
3i65 
36o2 



4377*443 1 '4465'45o9i4553 
48 r6 486o'49o4 4948 4992 
535553995343538715431 
5694'5738,5783|5835586o 
6i33|6i76,622o;6364|63o8 

6747 
7i85 
76i4 
8062 



6571 ;66i5;665o 6703 

70io!7o54,7<)9o'7i43 
744917493 7536'758o 
788717931,79758019 



8326'8369l84i3 8457'85oi 

8764|88o8}8852|88o6!893o 
9202|9v46 939o'9334[9378 
9641 9()K5;9728 977?!98i6 
0079 01 ^3'oi67'o3 1 1 0254 

_c._'_c^. 060506490693 



2270I2314 
2708 2752 

3190 

3638 
4066 
45o4 
4943 

5379 
58 1 
6355 
6693 
7i3o 

7568 
8oo5 
8443 
8880 
9318 

9755 
0193 



3334 
3673 
4iio 
4548 
4985 

5423 
586i 
6399 



1067 
i5o4 



1941 
3378 
2815 



1043I1087 
i48i;i525 
1930! 1963 
3358 2403 
2796 2840 



3278 
3716 
4i53 
4591 
5029 

5467 
5905 
634; 



6736|678o 
7174 7318 



761 1 

8o4< 

84 

8934; 

9361 

9799 
0336| 



7655 



85 

'8968 

94o5 

9843 
0280 



062906730717 
ii54 
i5qi 



IIIO 

1 548 



1985 
2422 



2021 
2465 



ii3i. 
1569 
2007 
3445 
3883 

3321 
3759 
4lQ7 
4635 
5073 

55ii 
5o48 
6386 
6824 
7261 

^ 

8574 
9011 

9449 



o323 
0761 
1198 
i635 

2072 
2509 



285o 200312046 



3252 3296 334oi3383 
3689373337763820 



Dim 



DiiLltMah. 



I 
3 
3 

5 
6 

7 
8 

9 



44 
88 

l32 

176 
220 
264 
5o8 
352 
396 



43 

86 
129 

172 

2l5 

258 
3oT 
344 
387 



01234 56789 



Dim 



Dim It Holt. 



LOGARITHMS OF NUMBERS. 



153 



Noo. 

9940 

4i 

43 
44 

45 
46 
47 
48 

49 

99 fo 

5i 

5a 

. 53 

54 

55 
56 

57 
58 

59 
9960 
61 
62 
63 
64 

65 
66 
67 
68 

69 
9970 

71 
72 

73 
74 

75 
76 
77 
78 
79 
9980 
81 
82 
83 



85 
86 
87 
88 

89 
9990 

9« 
92 

$ 

98 
99 

Nam. 



12 3 4 



7 8 9 



9»7 3864 3oo8 3o5i 
43014^444^88 



47384781 



5i74 
56i] 

6o48 
6485 
6921 
7358 
7794 
• 823 1 
8667 



5218 
5655 

6092 
6528 
6965 
7401 
7838 

8274 
871 1 



9104 9147 



9540958496279671 



• 9976 

9980413 
0849 
1285 
1721 
2157 

2593 
3029 
3465 
3901 
4337 



o456 
0893 
1329 
1765 
2201 

2637 
3073 
3509 
3o45 
438i 



47734817 

5252 

5688 
60806124 
65i6656o 



7 

7823 

8258 



9990000 
043^ 
0870 

i3o5 

1741 
2176 

261 T 

3o46 

3481 
3916 
435o 
4785 
5220 

5655 
6090 
6524 



6059 7002 



7393 
7828 
8262 
8607 
9131 



4825 
5262 
5699 

61 35 
6572 
7009 
7445 
7882 

83i8 



87558798 



9191 



7i366 
83o2 



0043 



1 349 
1784 
3219 
2654 
3089 

35a4 
3959 
4394 
48?9 
5264| 

5693 
6i33, 
6568 



39954039 
44324475 



7489 75J2 
7925 7969 



8362 



9235 



0064 

o5oo 
0036 
1372 
1808 
2245 

2681 
3ii7 
3553 
3988 
44U 

4860 
5296 
5732 
6167 
66o3 

7039 
7474 
7010 
8345 
8781 



0107 
05440587 

0980 1023 



i4i6 
r852 
2288 

2724 
3i6o 
3596 
4o32 
4468 

4904 
5340 
5775 
62 1 1 
6647 



86948737 

0129 9173 9216 9260 93o3 
95649608965 " ' - 



0087 



04790522 
09140957 



1399 
1828 

2263 

269S 

3i33 

3568 
4oo3 
4437 
4872 
53o7 

5742 



7437 



7871 791 5 
83o68349 
8740J8784 
91759218 



9566 960919653 9696 9739 




84o5 
8842 
9278 
97r5 
oi5i 



9^ 

oi3o 
o566 

1001 

t436 
1871 



2741 
3176 

36ii 



i46o 
1896 

2332 

2768 
32o4 
3640 
4076 
45i2 

4o47 
5383 
5819 
6255 
6690 



7126 
7561 



7082 
75i8 

7953 7997 
838984^2 
8824 '^"' 



9739 
0174 
0609 
io44 

i479 

1915 

23o6 235o 



2785 
3220 

3655 



4o46 4090 
4481 '■ ' 



4524 

665566o8 
70897133 
7524 7567 



4916 
535i 

5785 
,61776220 
6611 "- 
7046 
7480 



7958 
8393 
8827 
9262 



8002 
8436 
8871 
93o5 



9758980: 



7270 
7707 
8100 8i44 



6? 



8536 
8973 

0282 
07180762 



ii54 

1590 

2026 

92463 



5427 
5862 
6298 
6734 



72i3 
7648 
8084 
85i9 
8955 



9347 9390 9434 



9782 
0217 
o653 
fo88 

i523 
1958 
2393 
2828 
3263 

3698 
4i33 
4568 
5oo3 
5438 

5872 
63o7 
6742 
7176 
761 1 

8045 
848o 
8oi4 
934Q 



9826 
0261 
0606 
ii3i 



3771 
4206 
4642 

5078 
55i4 
5950 
6385 
6821 



5916 
635o 
6785 
7220 
7654 

8089 
8523 
8o58 
9392 



858o 
9016 
9453 

o1^! 



IK 
16 
2070 

25o6 

28992942 
3335 3378 



46864729 



7692 
8128 
8563 



o3o4 
0740 
U75 

1610 
2045 



38x4 
425o 



5l22 
5557 
5993 



72567300 



7736 
8171 
8607 



89989042 
9477 
6348 



0783 
1218 

i654 
2089 



2480 2524 

2915 

335o 



3785 
4220 
4655 
5090 



4257 
46o4 
5i3i 
5567 
6004 

6441 



42i3 
465o 
5087 
5524 
5961 

63o7 
68346878 



73i4 
775i 
8187 

8624 
9060 

0I69 

o8o5 
1 241 
1678 
2114 
255o 

2986 
3422 
3858 
4294 



5i65 
56oi 
6037 



6429 6473 
68646908 



7344 
7779 
82i5 
865o- 
9086 

9521 
9o56 

0391 
0827 
1262 

1697 

2 1 32 

2567 
3oo2 

3437 



3?^ 
3829 3872 
426414307 



46984742 

5 1 33 5177 
55245568i56ii 



59596003,6046 
639464376481 
68286872" " 



7263 
7698 
8i32 
8567 
9001 



7307 
774 1 



9783 9826 9870 99i3'9957 



6oi5 
7S50 

7785 



8176 8219 

86io'8653 

90449088 

943594799^22 



12 3 4 5 6 7 8 9 
20 



DiflU 



Diff. 



Dim k. Molt 



44 
88 

l32 

176 
220 
264 
3o8 
352 
396 



43 
86 
129 

172 

2l5 

258 
3oi 
344 
387 



Diff. at MaH. 



TABLE 



OF 



LOGARITHMIC 



SINES, TANGENTS, &c. 



156 



LOGAEITHMIC SINES, TANGENTS, &C. 



o 
60 
lao 
180 
a4o 
3oo 

"363 

420 

480 

540 

600 

660 

720 

780 

84o 

900 

960 
loao 
1080 
ii4o 
lasX) 
126a 
1 820 
i38o 

1 440 
i5oo 
i56o 
i6ao 
1680 
1740 
1800 
i860 
1920 
1980 
2o4o 
2100 
2160 
2220 

2280 

234o 
2400 
2460 

2520 

258o 
2640 
2700 
2760 
2820 
^883 
2940 
3ooo 
3o6o 

3l20 

3 i8o 

3240 

33oo 

336o 

3i2Qi57| 

3480 " 

354o 

36oo 



00 



n»o 



inf. neg. 

6.463 7261 
26.7647561 
316.9408473 
4 7.065 7860 

7.1626960 

7.241 8771 
7 7.308 8239 
"7.366 81 57 

7.417968' 
7-463 7255 
7 .5o5ii8 i 

7.542 oo65 
7.577 «>84 
147.6098530 
"7.6398160 
7.6678445 
7 .694 173 3 
7.7189966 
7.742 4775 
7.7647537 
7.785 9427 
7.806 1 458 
7.825 45u7 



47 



q-n 



4.685 



574915749 inf. nec. 
574y 5749;6.463 72161 



5748 
5748 
5748 

5747 



5746 5753 



5746 



5744 
5743 
5741 



5740 
5738 
5737 
5735 
5^33 
5-r3 



57496.7647562 

57506.9408475 

' ' 7.0657863 

7.1626964 



5751 
5752 



7.a4i 8778 



5755 7.308 8248 



57455757I7.366816Q 



57597.4179690 
5761 17.4637273 
5763j7.5o5 iao3 
5766 7.54a 9091 



5760 
5773 
5776 
5780 
5784 
5729 5788 



7.5776715 
7.6098566 
7.6398201 
7.667 8492 
7.694 1786 



5727 
5724 
57a2 
5719 



5793 
5798 
58o3 
58o8 



4i QM6 
7.861 66a3 
7.8786953 
7.8950654 
7.9108793 
7.926 1 1 90 

7.9408419 
7.9550819 
7.9688698 
7.98a a334 
7.995 1080 
8.007 7867 



57i6,58i3 
5713^5819 
5710 5875 
5707 583 1 
5704 5838 
5701 5845 
5697 5852 
5694 5859 
56905866 
5686 5874 
568a 588a 
56785890 



7.7190026 
7-742 484 
7.764 7610 
7.785 9508 
7.8061547 
7.825 46o4 



8.020 0207 
8.o3i 9195 
8.043 5009 
8.0547814 
46 8.o65 7763 
4^ 8.07 6 4997 

42 
43 



8.086 9646 

8.097 i83a 

448.107 1669 

458.1169262 

468.1264710 



8.135 8104 



8.1449532 
8.1539075 
8.1626808 
8.171 2804 
8.1797129 
8 .187984 8 

,8.196 loao 
55 8.ao4 0703 
56'8.aii8o49 
57!8.ai9 58ii 
58,8.237 i335 
598.a34 5568 
6o|8.a4i 8553 



1- 



5674 



5907 
5665 5916 
56605926 
5656 5935 
565 1 5945 
5646 5955 



7.843 oU4 
7.861 6738 
7.878 7077 
7.895 0988 
7.9108938 
7.936 i34i 



7940 8584 
7.955 0096 
7.9688886 
7.98a a534 
7.9953192 



564 r 5965 
5635 5975 
563o5986 
5625599^ 
56106008 
561J6019 



5608603 1 
56026043 
55o66o55 
55896067 
5583 608(1 
5577 6093 



55706106 
5563 61 19 
55576133 
555o6i47 
5543 6161 
55356175 
552816190 
^0155 



5899 8.007 809^ 

8.020 0445 
8.o3i 9446 
8.043 5274 
8.054 8o< 
8.o65 80^7 
8.076 53o6 



8.086 9970 
8.097 2172 
8.107 2025 
8.1169634 
8. 1265099 
8.i35 85io 
8.1449956 
8.153 9516 
8.162 7267 
8.171 3282 
8.1797626 
8.i8So364 



8.1961556 
8.ao4 ia59 
8.aii 95a6 
8.3196408 
8.337 1953 
8.3346308 
8.a4i 9315 



inf p<M, 
3.536a739|< 
3.335 2438. 
3.059 1 53 5 
3.9343137 
3.837 3o36 



3.758 1333 
3.691 1753 

3.633 i83i 
3.583 o3o4 
3.536 3737 
a.4948797 433714359 



2.457 .^- 
3.433 338_ 
3.390 1434 
3.36o 
3.33a ._. 
3.3o5 82i4 



2.280 0974 
[3.357 5 1 59 
3.335 3390 
3.2140492 
[3.193 8453 
2.1745396 

a.i56o556 
a.i38 3a62 
a.iai 3923 
3 1049012 
a.089 io6'> 
3.073 8656 



4207 4273 



4202 

4197 
4192 



41694293 



4i6; 
4i55 

4i48 



3.059 '4i6 
a.0449004 
3.o3i iii4 
3.0177466 
.0047808 
.993 1908 



.979 9555 
.9680554 
.956 4726 
.945 1906 
.934 1943 
.923 4094 



.9i3oo3o 
.003 7828 
.802 7075 
.883o366 
,873 4901 
8641490 



.855 0044 
.846o484 
,837 2733 
,8386718 
,830 3374 
,8119636 



.8o3 8444 
.795 8741 
7880474 
.780 3593 
.772 8047 
.765 3793 
,7580785 



q+« 



15.314 



435i 
435 
425i 



435i 
425i 
4253 



435o 4353 
4349 4253 
43484353 



4247 
4345 
4243 
4241 



4239 4257 



4234 
423 1 

4227 



4224 4265 
42204267 
42164269 



4212 



4276 
4278 
4281 



41874284 



4i8i 
4175 



4296 
4299 
43o3 



4i4i 
4i34 
4126 
4ii8 



4ioi 



4o84 
4074 
4o65 
4o55 
4045 



4o35 
4o25 



4oo3 

g2? 



3969 

3957 
3945 
3933 



3894 
388r 
3867 
3853 



3839 445 



3825 
38io 



4254 
4254 
4255 
4256 



4260 
4262 
4263 



4271 



4287 
4290 



43o6 
43io 
43i4 
43i8 



4iio4333 



4336 



40934331 



4335 
4340 
4344 
4349 
4354 



4359 
4365 



40144370 



4375 
438 1 
4387 



4393 
4398 
4404 
44 



39304417 
3907 44a3 



443o 
4437 
4443 
445o 



4465 
4472 



15.314 



q-hP 



iof. pot. 
3.5352739 
3.a35 3439 
3.0591537 
3.o34 3i4o 
3.837 3o4o 



3.758 1339 
3.691' 1761 
3.633 1843 
3.583 o3i9 
3.536 3745 
34948819 



3.4570035 
3.433 3S16 
3.390 1470 
3.36o i84o 
3.333 i555 
3.3o5 8367 



3.381 oo34 
3.257 5335 
3.335 3463 
3.3i4o573 
3.1938543 
3.1745493 



3.i56o663 
3.138 3377 
3. 131 3o47 
3.104 9146 
3.080 1207 
2.0738810 



3.059 '58i 

3.0449181 

3.o3i i3oa 

.0177666 

.oo48oao 

.99a 2 1 33 



.956 4991 
.9453186 

.934 3337 
.933 5oo3 



.9i3o354 
.9038168 
.8938331 
.883 0738 
.873 5290 
,8641896 



,855o468 
,8460935 
.8373193 
.8387196 
,830 3871 

,8l3 0l53 



.8038980 

.7804189 
.772 8665 
.765 4433 
.758 144? 



10.000 9.999 ' 



0001 
0002 
ooo3 



ooo5 



0007 
0009 
0012 

001 5 
0018 
0022 



999353 



9985 
9982 
9978 



00269974 

oo3i 

oo36 

oo4i 

0047 

oo53 



996947 
996446 
995945 
995344 
994743 



0097 



0106 
oil 5 
0124 
oi34 
0144 
oi55 



oi65 
0177 
0188 
0200 
0212 
0225 



ten 
ten 



60 



9997 56 
9995 551 



00609940 42 
0066^^' 
0073 
0081 



993441 
992740 



o 99'9| 
00899911 



9903 



987634 



9666 33 
9856 32 
984531 
983530 

980027 
978826 
9775 25 

976a a4 
9748 33 
9735 
9731 



0338 

0352 

0265 

0279 

02949706 

03699691 



o324 
o34o 
o356 
0372 
0389 
o4o6 



1? 

9&76|i8 
17 



9660 
964416 
962815 
9611 i4 
9594 i3| 



0423 
o44i 
0459 
0478 



o5i6 



9577 

9541 
9522 



04979503 

' '9484 

9464 

9444 



o536 

o556 

05769424 

o597|94o3 

06189382 

0640I9360 

066219338 



066219 
10000 9 

eo«ie.| I 



u 



-m^ 



LOGARITHMIC SINBS, TANGENTS, &C. 



157 



36oo 
366o 
3720 
3780 
384o 
3900 

3^ 
4020 
4080 
4i4o 
4200 
4360 

43ao 
438o 
4440 
45oo 
456o 
4620 
4680 
4740 
4800 
4860 
4920 
4980 
5o4o 
5ioo 
5i6o 
5a 20 
5280 
5340 
5400 
5460 
55ao 
558o 
564o 
5700 

5^ 
5820 
588o 
5940 
6000 
6060 
6rao 
6180 
6a 4o 
63oo 
636o 
64 ao 

648o 
654o 
6600 
6660 
6720 
6780 
684u 
6900 
6960 
7oao 
7080 
7140 
7200 



10 



1780 



08.241 8553 

8.249 ^^^ 

8.2560943 

8.263 0424 

48.2698810 

5 8.276 61 36 



68.2832434 
8.289 7734 
8.2962067 

9 8.3o2 5460 

108.3087941 

8 .3149536 

128.321 0269 



i3 



8.3270163 



148.3329243 
158.3387529 
168.3445045 
178.3501805 

i 8.355 7835 

198.361 3i5o 

20 8.366 7769 

8.372 1710 

8.3774988 

8.382 7620 



5i 



5528 
5521 
55i3 
55o6 
5498 
5490 



24 8.387 96a 2 

■ 8.393 1008 

8.398 1793 

8.4o3 1990 

8.408 i6i4 

298. 4130676 

3^ 
3i 

32 

33 
34 



8.417 9'9<^ 
8.4227168 
8.4274621 
8.432 i56i 
8.436 7999 
358.4413944 



6901 
606925 



3618.445940951846878 
378.45044025172 
388.45489345 
398.45930135148 
4o 8.463 6649 5 1 
4i 8 .467 9850 Six 
4a 8.472 262651 1 
43 



8.472 2626 
8.4764984 
44 8.480 6932 
' 8.484 8479 
8.4889632 
8.4930398 



47 

8.497 0784 

49 8.5oi 0798 

50 8.5o5 0447 
8.5o8 973( 



'36 4i 



528.5128673 



8.5167264 



8.520 55i4 
55 8.524 3430 
8.528 1017 
8.53i 8281 
8.535 5228 
598.5391863 
608.5428192 



q-n 



4.685 



6190 
6205 
6220 
6235 
6250 
6266 



5482 

54746 
5465 63 



5457 
5449 
5440 



6282 
6332 



54496349 
5440 6366 



543 1 
5422 
541 3 



6384 
64o2 
6420 



54o46438 
6456 
6475 



)J95 
>386 



5376 
5366 
5357 
5347 
5337 
5327 



6494 
65i3 
6533 
6552 
6572 
6593 



66i3:8.'388o9i8 
6634 8.393 2336 
6655 8.398 3 1 52 
6676 8.4o3 338i 
527466978.4083037 

67198.413 2l32 



53i7 
53o6 
5296 
5285 



5264 



50737 

5060712 

5o47 



5o34 
5o2 



4980 
4967 



4953 



4910 

4896 
4881 
4867 



241 9215 
249IOI5 
256 i64< 
263 II 5: 
o563 
0912 



283 3234 
2898559 
290 2917 
3o2 6335 
3o8 8842 
,3 1 5 0462 



8, 
8 
8 
8 
8 
8 

8.321 1221 
8.327 I 143 

8.333 0249 
8.338 8563 
8.344 61 o5 
8.3502895 
8.355 8953 
8.36i 4297 
8.3668945 
8.372 2915 
8.377 6223 
8.382 888f) 



674 
6763 
6786 
96808 
683 1 



5253 
5241 
523o 

521^ 

5207 

51966854 



8.4180679 
8.422 8690 
8.4276176 
8.432 3i5o 
8.4369622 
8.441 56o3 



8.446 II o3 

8.45061 3 1 

.^..8.4550699 

69498.4594814 

-- '8.463 8486 

8.468 1725 



366974 



»46998 



7023 
7048 

7074 

r099 
;ia5 
7i5i 
7^78 
7204 



50087231 



7258 
7286 
73i3 



7341 



4939 7369 
4924 7397 



8.472 4538 
8.4766933 
8.480 8920 
8u<85 o5o5 
8.489 1696 
8.494 25oa 



8.497 2928 
d.5oi 2982 
8.5o5 2671 
8.5092001 
8.5130978 
8.5169610 



8.5207902 
8.524 586o 
8.528 3490 
7426 8.532 0797 
7455 8.535 7787 
74848.539 4466 
75i3 8.543o838 



4.686 



7680785 
.7508985 
743 8351 
736 8847 
,730 0437 
,7233088 



381014472 



3705 
3780 
3765 
3750 



.7166766 
.710 i44i 
.703 7083 
.697 3665 
.691 ii58 
.684 9538 



678 8779 
672 8857 
,6669751 
.661 1437 
.655 3895 
,6497105 



*644 1047 
.638 5703 
.633 io55 
.627 7085 
.622 3777 
.617 iii4 



q + n 



15.314 



4479 
4487 
4494 
4502 



37344510 



3718 
3701 

3685 



3668 4543 



365 1 



3634 456o 



36i6 4569 
4578 
4587 
4596 
46o5 
46i4 



3598 
358o 
3563 
3544 
3525 



35o6 4624 



3487 
3467 
3448 
3428 
3407 



.61 1 9082 
.6067664 
.601 6848 
.596661 
.591 6965 
.5867868 
.5819321 
.577 i3io 
.572 3824 
.5676850 
.563 0378 
.558 4397 



,3387 
'3366 
3345 
3324 
33o3 
3281 



.5538807 
.549 3869 
.5449301 
.54o5i86 
.536 f 5i4 
.53i 8275 



.527 5462 
.523 3067 
.519 1080 
.5149495 
.5io83o4 
.5o6 7498 



.5o2 7072 
.4987018 
.494 7329 

•4907999 
.486 9022 
.483 a39o 



.479 2098 
.475 4i4o 
.471 65io 
.467 9203 
.4642213 
.460 5534 
.4569162 



3l02 

3169 



3l22 



3o75 
3o5i 



30O2 



2977 
2952 



2822 



2742 



2687 



263 1 
2603 



IIP" 



2545 
25i6 
2487 
16.314 



45i8 
4526 
4535 



455i 



4634 
4643 
4653 
4663 
4673 



4683 
4694 
4704 
4715 
4726 
4736' 



3259 4747 

3237 ' 

32 14 



4759 

4770 

4781 

31694793 

3i46 48o4 



48i6 



3099 4828 



484o 
4852 



3026 4864 



4876 



4901 



2926 4914 
2001 4927 
2875 4940 
2849 4953 



4966 



2796 4979 
2769 4992 



5oo6 



2714 5o2o 



5o33 



2659 5o47 



5o6i 
5076 



25745090 



5io4 
5119 

;i33 



758 1447 
7509668 
743 9057 
736 9576 
73o 1 190 
723 3864 



.7167566 
,710 2266 
,703 7933 
697 4540 
" n 2059 
;5o464 



6789731 
,672 9837 
.667 0757 
.661 2471 
,655 4957 
.6498195 



.644 2165 
.638 685o 
.633 223i 
627 8290 
.622 5oi2 
.617 238o 



.61 2 0378 
.6068992 
.601 8207 
596 8010 
591 8386 
5869324 



5820810 
577 2832 
572 5379 
567 8439 
563 2001 
558 6o56 



5540591 
549 5598 
5451066 
5406987 
536 3351 
532 0i5o 



527 7374 
523 5oi6 
5193068 
5i5 i52i 
5iio368 
5069602 



5o2 92 16 
498 990a 

4949553 

,491 0264 

,487 1 327 

483 2736 



4794486 
.475 6570 
471 8983 
468 1 7 19 
^^644772 
460 8 1 37 
457 1808 



10.000 



0662 
0684 



933860 



9316 



07069294 
9271 
9^7 



0720 ( 
075S < 
0776 9224 



0800 
0825 
o85o 
0875 
0900 



9200 
9175 
9i5o52 



9125 



09269074 



9100 5o 
49 



0953 9047 48 
47 
46 
45 
44 
43 



0979 
006 
o34 
06 



8939 



089891 



118 
147 
176 
206 
236 
266 



8882 
8853 
8824 
8794 
8764 
8734 



297 
328 
359 
391 
423 
456 



522 

555 
589 
624 
658 



694 
729 
765 
801 
838 
875 



91a 

950 

988 

2026 

2o65 

2104 



2144 
2i83 

2224 
2264 

23o5 
2347 



2388 
243o 
2473 
25i6 
2559 
2602 
2646 



10 000 



9.999 ' 



5? 

58 

57 
56 
55 

54 
53 



5i 



8703 
8672 
8641 
8609 
8577 
8544 



85i2 
8478 
8445 
84ii 
8376 
8342 



42 
4i 
40 

'^ 

37 
36 
35 
34 
33 

32 

ii 

3o 
29 
28 

27 
26 

25 



83o6 
8271 
8235 
819921 
8i6a 20 



8125 



1? 

18 

17 
16 
i5 
i4 
ii3 

7856 12 

7817 



8088 
8o5o 
8012 
7974 
7035 
7896 



7776 
7736 
7695 
7653 

7612 
7570 
7527 
7484 
7441 
73o8 
7354 



m^* 



15S 



LOGAKITUHIC StM£S«TAKG£HT3, ikc. 



Oo 



17»o 



30 S,< 



So 
I' 

to 

3d 



S<9| 

3' 
ro 

3o 
4u 
5o 

4' 

to 

:4o 

5' 

[O 

ao 
3o 
40 
So 

]<) 

ao 
Jo 
4o 
5o 
7^ 
lo 

3o 
4q 
5«i 
tf' 

10 

?o 
3o 
4o 
5o 
W 
Jo 

30 

3^. 
4^ 
So 

10' 



iaf, negn 
.685 5749 
,9866049 
.16^6061 

38454491: 
6.463 7361 
53o 67^9 

sea 664s 

63q8i74 

685 574s 
7^6 967 S 

6.764 75Gt 
7995163 
83 1 7079 
8616O61 
8896945 
9160237 

6.940 8473 
964 3'j84 
9866046 

7.W7 794 r 
0279975 
D^7 3t>j6 

7*o65 7860 
o63 5k^8 
itJoS4ilt 
1169385 
i3i73j8 
147^727 

7.i6a 69(x> 
1 76 9164 
1907347 
2o4o8b6 
7 (70536 
339 6437 

7.a4t 877r 
3537764 
365 358j 
3765392 
387 6346 
398 3584 

7 Jug 6339 
31904 3u 
3^^90372 
338 7870 
34S33a3 
357 6723 

7-366 8 1 57 
375 77o5 
384 5444 
3^^ [446 
4oi 5778 
409 B5o3 

7,4179681 
4'i5 9370 
433 7634 
44 1 4493 
449 003 3 
456 4363 

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211.7 

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835 8378 

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7998410 
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764 1539 
762 9320 
761 7i35 
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8.a56oQ43 
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8.a63 0424 
3641896 
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8.3698810 
371 0104 
373 1 368 
373 3604 
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275 4987 

8.3766136 

377 7356 

378 8348 
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381 0447 

382 1454 
8.383 3434 

384 3386 

385 43 10 

386 5ao7 

387 6076 
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8.289 7734 
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391 9285 

293 0020 

294 0729 

295 i4ii 
8.296 2067 

2972697 

298 33oi 

299 3879 
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74 1 5773 
7404178 
7393613 
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7346661 
733 5249 
732 3866 
73i 25i3 
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7289806 
7278632 
726 7396 
7256190 
724 5oi3 
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723 2744 
73i.i652 
720 0589 
718*9553 
7178546 
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7i566i4 
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7» 34793 
712 3924 
711 3o8i 
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709 1477 
7080715 
7069980 
7059271 
704 858o 
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702 7!5o3 
701 6699 
7006121 
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6964063 
6953612 
6943187 
6932786 
692 2410 
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241 9215 

243 1264 

244 3280 

245 5263 
2467213 

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365 40^ 

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269 9- '>3 

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383 33 14 
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204.9 
201.6 

98.3 

95.0 
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1.7580785 
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755 6720 
7544737 
753 2787 
7520869 

1.7508985 
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748 5312 
747 3524 
7461768 
7450044 

1.743 8351 
742 669( 
74 1 5<)59 
74o 3460 
739 1892 
738 o354 

1.736 8847 
735 7370 
734 5924 
733 45t)8 

732 3l2I 

73i 1764 

1 .730 0437 

7289140 

7277871 
726 6632 
725 5422 
724 4240 

1.723 3o8b 
722 1964 
721 086b 
7190800 
7188761 
7177749 

1.7166766 
7i5 58io 
7144882 
7133981 
712 3i07 
711 3360 

1.710 i44i 
7090648 
707 9882 
7060143 
705 843o 
704 7744 

1 .703 7083 
7026449 
701 584i 
700 5258 
699 4702 
6984170 

1.6973665 
6963184 
695 3739 
694 2299 
6931894 
692 i5i4 

1.691 ii58 

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0733 
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3.0000753 
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3.0000776 
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3.0000825 
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3.0000900 



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9327 
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9-9999271 
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9220 

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9.9999200 54 

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9187 

9183 

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335 8484 

336 8 [87 
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340 6785 
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348 1067 

349 ^396 
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354 6546 1^° 
8,355 7S35 ^^S? 
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357 6351 

358 558u 

359 4790 

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8.36i3i5o 

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8.333 0349 

334 oosi 

334 9774 

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8.338 8563 

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2617 
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2639 
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7722 

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7702 

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7640 

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604 8875 

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392 3378 
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530.5 

529.9 

5a9.a 

5a8.6 

527.0 

527.3 

526.7 

526.0 

525.4 

524.7 

524.2 

523.5 

522.8 
522.3 

521.6 
521.0 
520.3 
519.8 
519.1 
5i8.5 
517.9 



dif. I" , 



eo-tang. dttl" 



1.42a la 
4215665 
4ai 0102 

4204547 
4198909 
4193457 

11.4187023 
4182J96 
4176876 
417 1 362 
4i6 5856 
4160357 

iMi5 

4149379 
414^900 
4i3 8429 
4i3 2q64 
4i2 7Do6 

I [.41 a ao55 
4116611 
4ii 1 173 
4io 574a 
4ioo3i8 
4004901 

11.4089491 
4084087 
4078690 
4o7 3a99 
4067915 
4o6 a538 

1 1. 4057168 
4o5i8o4 
4o4 6447 
4o4 1096 
4o3 575a 
4o3o4i4 

ii.4oa5o83 
4oi 9759 
4oi444i 
4009129 
4oo 38a4 
39985a5 

ii.399 3a33 
3987947 
398a668 
397 7395 
397 aia8 
3966868 

11.396 1614 
395 6367 
395 iia5 
394 5890 
394066a 
393 543o 

ii.393oaa3 
39a 5oi3 
391 9810 
391 461 
390943. 
300 4236 

11.3899057 



i34io.ooo3i 



106 
3ii4 
3i2a 
3i3o 
3i38 
3i46 
io.ooo3i54 
3i6a 
3170 
3178 
3i86 
3194 



4864|io.ooo3aoa 
3aio 
3ai8 
3aa7 
3a35 
3a43 

io.ooo3a5i 
3a59 
3a67 
3276 
3a84 
3a9a 

io.ooo33oo 
33o8 
33i7 
33a5 
3333 
334 

ioxxx)335o 
3358 
3366 
3374 
3383 
339 

ioxxx>3399 
3408 
3416 
34a4 
3433 
3441 

io.ooo345o 
3458 
3466 
3475 
3483 
349a 

io.ooo35oo 
3509 
35i7 
3526 
3534 
3543 

io.ooo355i 
356o 
3568 
3577 
3585 
3594 

io.ooo36oa 



0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

0.8 

o.< 

o.. 

0.8 
0.8 
0.8 
0.8 

0.( 
O.i 

0.8 
0.8 
0.8 

0.8 
0.8 

Oj 

o. 

0.8 
0.8 

o. 

O.i 

0.8 

0.( 
0.1 

0.8 

o.< 
o.J 
o.< 

0.1 
0.8 

o.< 

0.1 

o.( 

0.1 

0.( 

o.] 

0.9 
0.8 

o.( 

0.1 
0.9 

0.8 

o.c 
o.^ 



ISC 
5o 
40 
3o 
ao 
10 
1.9996846149' 



6878 
6870 
686a 
6854 

9-,., 

6838 
683o 
68aa 
6814 
6806 

9.9996798 
6790 
678a 

6773 
6765 
6757 
99996749 
6741 
6733 
6724 
6716 
6708 



5o 
40 
3o 
20 
10 
4& 
5o 
40 
3o 
20 
10 
47' 
5o 
40 
3o 
20 
10 



9.9996700 46' 

6675 

6667 

6659 
9.9996650 

664a 

6634 

6626 

6617 

6609 
9.9996601 

6592 

6584 

6576 

6567 

6559 
9.9996550 

654a 

6534 

65a5 

65i7 

65o8 
9.9996500 

6491 

6483 

6474 

6466 

6457 
9.9996449 

644o 

6432 

6423 

64i5 

64o6 
9.9996398 



5o 
4o 
3o 
ao 
10 
4^ 
5o 
4o 
3o 



5o 
4o 
3o 
ao 
10 
43' 
5o 
40 
3o 
ao 
10 
42' 
5o 
4o 
3o 
ao 
10 
41' 
5o 
40 
3o 
ao 
10 
40' 



Uuag, 



d.r 



020 



870 



ITZ 



LOGARITHMIC SINES, TANGENTS, &C« 



«o 



1770 



2il' 
10 
20 
3o 
40 
5o 

il 
10 
30 
3o 
4o 

5(: 

10 
30 
3o 
4o 
5( 

23' 
10 
20 
3o 
4o 
5o 

24 
10 
20 
3o 
40 
5*> 

25' 
10 
20 
3o 
40 
5o 

'US' 
10 

30 

3o 

40 

5o 
27 
10 
20 
3o 
4o 
5o 
28' 
10 
20 
3o 
4o 
5o 
2J' 
10 
20 
3o 
40 
5o 
30' 



•ia. 



dif.!" 



8.6097341 
610 35o5 

610 7663 

611 28i5 

611 7961 1 

612 3ioi! 
8.6128235 

6i3 3r 
6i3 84. * 
6i4 35/;^ 
6i4 87f>9 
6i53t^^ 
8.615891 . 
6i6 4c"H 
61690^^7 

61843 - 
8.61893 y 
6194^1/ J 
6i99^r'i 
620 4t> I y 

620 95 j^ 

621 45So 
8.621 9616 

622 461- 

622 9^. 1 

623 46 ' 
62396 

624 46 
8.624 96 

62546 

625 96 

626 4^ 
6269! 

6i7 4^ 

8.627 9^ 
6284^ 
6289: 
62943 
62992 - 
63o4i^^ 

8.63091 1 I 

63 1 4ci V 
63i 8c ^ 

632 3t , . 

632 8-; 

633 36 
8.633 St 

634 3^ 
6348i>.i, 

635 3175 

635 8043, 

636 2906I 
8.636 7764; 

637 2616 

637 7463 

638 23o4 
6387140 

639 1971 
8.6396796 



oo-iin. 



5i6.4 
5 1 5.8 
5i5.2 
5i4.6 
5f4.o 
5i3.4' 
5|2.7 

.2 
JM.5 

5 1 1 .0 

'>ir..3 

V ......8 

'in-'.9 

' -.4 

\ .■:..7 

■) ' 1.0 

-i.4 
^ .8 

>OJ.2 

5o3.7 

-v.1.5 



.8 
.1 
6 
.1 
•4 
•9 
.4 
•7 
.2 
.6 
. .1 
, ,. .5 

I VI. 8 

.;i.3 

; ; ..7 

. .1 

.6 

.il 

.5 

. .9 

487.4 

486 8 

486.3 

485.8 

485.2 

484.7 

484. 

483.6 

483.1 

482.5 



dif 1 



[ .390 2659 8 
3897495 
389 2337 
3887185 
388 2039 
3876809 

[.3871765 
386 6638 
386i5i6 
385 6401 
385 1291 
384 6188 

1.384 1090 
383 5999 
383 0913 
382 5834 
382 0760 
38i 5693 

i.38io63i 
38o 5575 
38oo5a5 
379548 
379 0443 
378541 1 

t.378o384 
377 5363 
377 o348 
376 5339 
3760336 
375 5338 

[.3750347 
374 536i 
374 o38o 
373 5406 
373 0437 
372 5473 

[.372o5i6 
371 5564 
371 0618 
370 5677 
370 0742 
3695813 

[.3690889 
368 5971 
368 io58 
3676151 

367 I25o 

366 6354 

1.366 1 463 

365 6578 

365 1699 

3646825 

364 1957 

363 7094 

[.363 2236 8 

362 7384 

362 2537 

36 1 7696 

36 1 2860 

36o 8029 

[.36o32o4i8 



-I- 



6.. .,83 ^^7 

6n i5oSl?'r2 
6.i6746|f3 
.6i3 1889'^ H 

^*^'^^^5r2.4 

6i5 2397^i(, - 
6i5 75lV? -"^ 

6i677i6^''''^ 

6182c;' '^^ 
618 8< 
.61931 
61981 

620 3:^ 
62083. 

621 33 



■;i 



622 84> '^'^^ 

623 3^^'^ 

623 841/1 r O 

624 35m .'^'^-^ 

62485,7^? 
.6a5 35t8^^' 

625 85r3H.^-^ 

626 35r '^^-9 

626 8/, 

627 3^ 



j-r-s 



18 



i'/^-7 



627 8a 
.628 3.', 
6288: "'5 
62933 ' 

629 8: > ;l 

630 3j r I ' ' '■ 
63o8i ... ' ;■? 
.63i3o8Jiy^^ 

632 291,1^9'' 

633 27^^H^9'9 

6337C ■: 
.634 2f. 

634 7i 

635 23,;. 
635 72^5 



:-..4 
i S.8 
:i^^,3 
487.8 

4ft7,2 



636 2106 
f;^-,fi-,r»fi 400.1 



637 6706 

638 i562 
638 6412 



,485.6 
I485.0 



639i257;^ot^ 



eo-tang. diCl' 



eo-tanf. 



1 .389 9057 
389 3884 
3888717 
388 3557 
387 8402 
387 3254 

I.3868III 
3862975 
385 7845 
385 2721 
384 7603 
384 2491 

1.383 7384 
383 2284 

382 7190 

383 2102 
38i 7019 
38i 1943 

1.3806873 
3801808 
3796745 

370 1690 
378 6649 
3781608 

1.3776573 
3771543 
376 6520 
376 i5o2 
375 6489 
375 1483 

1.3746482 
374 1487 
373 6498 
373i5i5 
372 6537 
372 1 565 

1. 37 1 6598 

371 i637 
3706682 
370 1732 
3696789 
36o i85o 

1.368 6917 
368 1990 
367 7069 
367 2 1 52 
366 7242 
366 2337 

1.365 7437 
365 2543 
3647655 
364 2772 
3637894 
363 3o22 

1.3628155 
362 3294 
36i 8438 
36i3588 
3608743 
36o39o3 

1 .359 9069 



tanf. 



d.l' 



io.ooo36o2 
36ii 
3620 
3628 
3637! 
3645 

io.ooo3654 
3663 
3671 
368o 
3689 

ioxxx)37o6j 
3715; 
3723 
3732 
3741 
3750 

io.ooo3758 
3767 
3776 
3785 

3794 
38o2 

io.ooo38ii 
3820 
3829 
3838 
3847 
3855 

io.ooo3864 
3873 
3882 
389 
3900 

10.0003918 
392 
3936 
3945 
3954 
3963 

10.0003972 
3981 
3990 
39 
4o 
4017 

10.0004026 
4o35 
4o44 
4o53 
4062 
4071 

io.ooo4o8i 
4090 

il^ 

4117 

4126 

1 0.0004 1 35 



0.9 
0.9 
0.8 

°? 
0.8 

0.9 

0.9 

0.8 

0.9 

o. 

o. 

0.9 

0.1 

OJ 

0.9 
0.9 

o.< 
o.^ 

0.9 
0.9 
0.9 

o.< 

oi 

t).9 

0.9 

0.9 

0.9 

o. 

o. 

0-9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
1.0 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 



99996 



16398 
636g 



638o 
6372 
6363 
6355 
9.9996346 
6337 



4(V 

i9 5o 

40 

3o 



20 
10 



39' 

5o 
40 
3o 



6329 

63 2o 

63ii 

63o3 
9.9996294 3"*-- 

6285 

6277 

6266 

6259 

6250 
9.9996242 

6233 

6224 

6215 

6206 

6106 
9.9996189 

6180 

6171 

6162 

61 53 

6145 
9.99961363.5 

6127 

6118 

6109 3o 

6ioo| 

6091 
9.9996082 

6073 

6064 

6o55 

6o46 

6o37 
9.9996028 3:v 

6019 

6010 

6001 



3o 
40 
3u 
20 
10 
37' 
5o 
4o 
3o 
20 
10 

5o 
4o 
3o 
20 



5o 
40 



20 
10 
34' 

5o 
40 
3o 
20 
10 



d.1' 



5o 
40 
3o 
20 
10 

5o 
40 
3o 
20 
10 



9.9995974 
5965 
5956 
5947 
5938 
5929 

9.999591931 
5910 5o 
5coi 4o 
5oo7 3o 
5883 20 
5874! 10 

9.9995865,30' 



920 



870 



LOGARITHmiO SINES, TANGBffTS, 6z.C. 



173 



1770 



flin. ai£ 1 



30' e 



8.6396796 

64o i6i5 
20 640 643o 
64i laSo' 
641604J 
642084 
8.642 5634 
643 0422 

643 5204 
6439982 
6444754 

644 9520 
8.6454282 

6459038 
6463789 

646 8535 

647 3276 
647801 

8.648 a74a 
6487467 
6492187 

649 6902 

650 161 2 
65o63i6 

8.65i 1016 
65i 5710 
652o4oo 
652 5o84 

652 9763 

653 4437 
8.653 9107 

654^771 
6548430 
655 3o84 

655 7733 

656 2377 
8.656 7017 

657 i65i 

657 6280 
6580904 

658 5524 
6.590138 

8.6594748 
6590353 
660S952 
6608547 
661 3i37 
661 7723 

8.662 23o3 
6626878 
663 1449 

663 601 5 
6640576 

664 5i32 
3,9' 8.664 9684 

665 423 

665 8773 

666 33 10 
6667842 

667 2370 
8^6676893 



3o 
40 
5o 
3I'( 
10 
20 
3o 
40 
5o 
3-^6 
10 
20 
3o 
4o 
5o 
33' { 
10 
20 
3o 
4<» 
5o 
34' 
10 
20 
3o 
4o 
5<) 
35' 
10 
so 
3o 
4o 
5o 
36' 
10 
20 
3t. 
4 
5o 
37' 
i< 
20 
3o 

5^ 

38' 

It- 

20 

3r 

4' 

5<) 



10 
20 
3o 
40 
5o 
40' 



co-iin. diCl" 



481.9 
481.5 
480.9 
480.4 
479.8 
479-3 
478.8 
478.2 
477.8 
477.2 
476.6 
476.2 
475.6 
475.1 
474.6 
474.1 
473.5 
473.1 
472.5 
472.0 
471.5 
471.0 
470.4 
470.0 
469.4 
469.0 
466.4 
467.9 
467.4 
467.0 
466.4 
465.9 
465.4 
464.9 
464.4 
464.0 
463.4 
462.9 
462.4 
462.0 
461.4 
461.0 
460.5 

IS? 

459.0 
458.6 
45b.o 
457.5 
457.1 
456.6 
456.1 
455.6 
455.2 
454.7 
454.2 
453.7 
453.2 
452.8 
45a.3 



i.36o32o48 
3598385 
359 3570 
358 8761 
358 3957 
3579159 

1.357 43668 
3569578 
3564796 
3560018 
355 5246 
355 0480 

1.354 5718 8 
3540963 
353 6211 
353 i465 
352 6724 
352 1989 

1 .3517258 
35 1 2533 
3507813 
3503098 
3498388 
349 3684 

1.3488984 
348 4290 
3479600 
3474916 
347 0237 
346 5563 

1.3460893 
345 6229 
345 1 570 
344 691 f^ 
344 2267 
343 7623 

1.3432983 
342 8349 
342 3790 
341 909^ 
341 4476 
340 9862 

1 .340 5252 

3400647 

3396048 
3391453 

338 6863 
338 2277 

1.3377697 
3373122 
336 855 
336 3985 
335 9424 
335 4868 

1.335 o3 1 
334576, 
334 1227 
3336690 
333 2158 
332 763. 

1.332 3 107 8 



tang. 



.6400931 

640 5760 
64io584 

64 1 5402 
6420215 

642 5o23 
.642 9825 
6434622 
6439414 
6444200 
6448982 

645 3758 
.645 85 >8 

646 3204 
6468054 

647 2810 
6477560 

648 23o5 
1.648 7044 

649 1779 
649650b 

650 1 233 
65o595a 
65io666 

1.65 1 5375 
652 oo7< 

652 477 
652947 

653 4i6 
653 8844 

1.654 3522 
6548196 
655 2865 
655 7528 
6562187 
6566841 

1.657 '490 
6576133 
658 0772 

658 5406 

659 otj35 
6594659 

1.6590270 
6603893 
66o85o2 
66i3i07 

661 7707 

662 23oi 
1.66a 6891 

6()3 1477 

663 6o57 
6640633 

664 5203 
6649770 

1.665 4331 

665 8887 

666 3439 
6667986 

667 2528 
6677066 

1.668 1598 



482.9 
482.4 
481.8 
1.3 
480.8 
480.2 
479-7 
479.2 
478.6 
478.2 
477.6 
477.0 
476.6 
476.0 
475.6 
475.0 
474.5 
473.9 
473.5 

472.9 
472.5 

471.9 
471-4 
470.9 
470.4 



1469! 



co-tang. 



467.8 

467.4 

466.0 

466.3 

465.9 

465.4 

464-9 

464.3 

463.9 

463.4 

462.9 

462.4 

462.0 

46r.4 

460.9 

460.5 

460.0 

459.4 

459.0 

458.6 

458.0 

457.6 

457.0 

456.7 

456. 

455.6 

455.2 

454.7 

454.2 

453.8 

453.2 



dif.r 



Cft'tODf. 



1.3599069 10 
359 4240 

358 9416 
3584598 
357 9785 
357 4977 

1.3570175 10. 
356 5378 
356 o586 
355 5800 
355 1018 
3546242 

1.354 1472 
3536706 
353 1946 
352 7190 
352 2440 
35i 7695 

i.35r 2956 
3508221 
35o 3492 
3498767 
34q4o48 
348 9334 

1.348 4625 
3479921 

347 3222 
347 0529 

346 584o 

346 n56 
1.3456478 

345 1804 

3447135 

344 2472 

343 7813 

3433159 
1.342 85 10 

342 3867 

341 9228 

341 45o4 

3409065 

340 064 1 
[.3400721 

3396107 

339 1498 

3386893 

338 2293 

33? 769 
1.337310 

336 852 

336 3943 

335 9367 

335 47 

335 02 
1.334 

334 1 1 1 

333 656 

333 201 

332 747 

332 2934 
1 .33 1 84o2 



523 



2 So 
(5669 
Jifi3 



tang. 



.00041 35 
4i45 
4i54 
4i63 
4172 
4182 

.0004191 
4200 
4209 
4219 
4228 
4237 

.0004247 
4256 
4265 
4275 
4284 
4293 

.ooo43o3 
43i2 
4321 
433 1 
4340 
435o 

.0004359 
4369 
4378 
4387 
4397 
4406 

.0004416 
4425 
4435 
4444 
4454 
4464 

.0004473 
4483 
4492 
45o2 
45ii 
4521 

.0004531 
4540 
4550 
456o 
4569 
4579 

.0004589 
4598 
4608 
4618 
4627 
4637 

.0004647 
4657 
4666 
4676 



4696 
.0004705 



30' 
5o 
40 
3o 



9-9995865 
5855 
5846 
5837 
5828 
58i8 

9.999580929' 

58oo ' 

5791 

5781 

5772 

5763 

9.9995753 
5744 
5735 
5725 
5716 
5707 



d.1' 



8 
5679 
566o 
566o 
565o 

99995641 
563 1 
5622 
56i3 
56o3 
55o4 

9.9995564 
5575 
5565 
5556 
5546 
5536 

9.9995527 24 



55i7 
55o8 
5498 
5489 
5479 



9.9995469 SW- 

546o 

545o 

5440 

543 1 

5421 

9.9995411 

54o2 

5392 

5382 

5373 

5363 
9.9995353 

5343 

5334 

5324 

53i4 

53o4 
9-9995295 



5o 
4o 
3o 
20 
10 
28' 
5o 
4o 
3o 
20 
10 
27' 
5o 
40 
3o 
20 
10 
26' 
5o 
40 
3o 
20 
10 
25' 
5o 
40 
3o 
20 
10 



5o 
4o 
3o 
ao 



5o 
4o 
3o 
20 
10 
22' 
5o 
40 
3o 
20 
lu 
21' 
5o 
4o 
3o 
20 
10 
20' 



030 



870 



174 



LOGAEITHMIC SINES, TANGENTS, &C. 



2» 



lino 



ao 
3o 
4o 
5o 

It) 

4o 
5o 

30 

4o 
4:J^ 



3a 
4o 
5o 
44' 

lO 

ao 
3o 
4o 
5o 
'4-V 

lO 
20 

3fj 
4o 

10 

3o 
4o 
5o 
4 

at> 
3o 
4o 
5o 

4d' 

[Cj 
ao 
3o 
io 
5o 
4'K 
to 

90 

3o 
4o 
5o 



diClL' 



67J0337TJi , 
fl.673obo-(j12I 

675 3070 

e.6757510 
67^*1945 
676^375 

677 oiioi 

677 5j33 
(S77 9rt4<"» 

8.678 4n5 2 

678 84^^ ,. , 

^^^«7ij^n 

8.581 043 31^:;^ 7 
(^i4«.4,^^^'! 

8.633 r>654!l^?? 
68453^9!]];; 

685 8335,1|[ , 



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LOGARITHMIC SINES, TAWaENTS, 




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8ai 
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8.823 
8a3 
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8a4 
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321.6 

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19414778.806 
938192 

93 49«i 
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91 8538 
91 5a7i 
91 aoo7 
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85 3663 
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83 7595 
83 4388 
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777075 
177 391 3 
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76 7596 
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75 8i38 

75 1 844 
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930 



LOGAttlTHMIC SINES, TAr* GENTS, &C, 



181 



30 



1760 



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20 
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40 
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dif.r 



8.825 1299 

825 4440 

825 7579 
8260716 

826 385o 
8266982 

8.827 01 12 

827 3240 
827 6365 

827 9488 
8282609 

828 5728 

8.828 8844 

829 1958 

829 5670 
8298179 
8301287 

830 4392 
8.83o 7495 

83 r 0596 
83i 3694 
63 1 6790 
83T9884 

832 2976 
3.832 6o65 

8329153 

833 2238 
833 5321 

833 8402 

834 i48i 
3.8344557 

834 7631 

835 0703 
835 3773 
835 6841 
8359906 

8.836 2969 
8366o3f 
8369090 
837 2146 

837 5aoi 
8378254 

8.838 i3o4 

838 4352 

838 7398 

839 0442 

839 3484 
8396523 

8.8399561 

840 2596 
840 5629 
840866 
84i 1690 
84i 4716 

8.841 774 r 
842 0764 

842 3784 
8426803 
8429819 

843 2833 
8.843 5845 



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dif.r 



co-tAng. 



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738074 
73 58f8 
732665 
729515 
72 6366 

72 3220 
72 0076 
71 6934 
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71 o657 
70 7522 
704389 
70 1259 
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BOP 



162 



LOGARITHMIC SINES, TANGEWTS, 6CC. 



175° 



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dif r 



330.6 

330.6 

330.4 

330.3 

330.3 

330.1 

330.0 

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319.6 

319.6 

319.4 

319.4 

319.3 

3 19. 1 

310.0 

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318.J 

318.6 

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318.3 
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318.1 

318.0 
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9.9979838 29' 



9.997971628' 

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22' 
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21' 
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950 



840 



192 



LOGARITHMIC SINES, TANOBNTi, 6CC. 



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10.9999603 
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10.999 5353 
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10.0021275 
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10.002x780 
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10.996903. 
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10.993 2076 
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10.991 9529 
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10.9907016 



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10.0021907 
1928 
1949 
1970 
1991 

30l3 
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2o55 

2077 
2098 

2119 
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10.0022162 
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10.0023290 
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10.0022418 
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10.0022547 



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5o 
4o 
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9.9978735 20' 

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8683 

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864i 

8620 

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9-9977453 



10 
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30 
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1.5' 
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0,981 9691 
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10.990 7016 
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954 1622 

10.95397399 
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953 5977 

9534097 
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953 0339 

10.9538462 
95a 6585 
95a 4709 
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10.951 7ai4 
951 534a 
951 3471 
951 1601 
950 973 1 
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10.950 5995 
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10.9494800 
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948 7363 
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10.948 3646 9 
948 1789 
947 9932 
947 8077 
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947 4368 

10.947 35i5 
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10.946 i4i3 



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89.1 
89.1 
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10.9547164 

954 5244 
954 3325 
954 1407 
953 9489 
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10.9535657 
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952 0914 

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9536090 

10.953 4179 
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951 6543 
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10.951 3730 
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10.9400932 
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10.9478561 
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10.9444651 
944 3775 
9440899 
9439025 
9437151 
943 5278 
10.9433405 



881 
879 

[87.8 
87.7 
87.6 
87.6 
87.4 
87.4 
87.3 
87.3 



dicr 



twif. 



0.0O36586 
6610 
6633 
6657 
6680 
6703 

D.0036737 
6750 
6774 
6797 
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0.0026868 
6891 
6915 
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0.0037009 
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7174 
7198 

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3.0037292 
73i6 
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0.0027434 
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7483 
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3.0037577 
7601 
7635 
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7696 

3.0037730 
7744 
7768 
7792 
7816 
7840 

3.0037863 
7887 
7911 
7935 
7959 
7983 

3.0028007 



d.1' 



co-sin. 



9.9973414 
339^3 
3367 
3343 
3330 
3397 

9.9973373 
325t 
3326 
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3i79 
3i56 
9.9973132 
3109 
3o85 
3o62 
3o38 
3oi5 



3.4 

3.3 

2.4 

3.3 
3.3 

3.4 

3.3 

3.4 

2.3 

3.4 

2.3 

3.4 

3.3 

3.4 

3.3 

3.4 

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aj 9-9972991 



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2256 
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LOGARITHMIC SINES, TA> GENTS, &C. 



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10,943 34o5 
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10.0029316 
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9-997 



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22' 
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903 



83=- 



198 



LOGARITHMIC SINES, TANGENTS, &C. 



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1.073 3663 
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76.8 

76.6 

76.7 

76.5 

76.5 

76.4 

76.3 

76.2 

76.2 

76.1 

76.0 

76.0 

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75.7 

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1943 



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78.6 
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10.932 2478 
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931 3357 

10.931 1 535 
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920 1643 
10.928 9730 

9287918 
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10.927 8867 
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10.9268031 
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10.9267221 
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10.924 6437 
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10.923 5679 
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10.922 4947 
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10.921 4240 

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85r38i2 
85i 2332 

io.85i 08529. 
85o 9373 
85o 7894 
85o64i6 
85o 4939 
85o346i 

io.85o 1985 9. 
85oo5oQ 
849 9033 
8497558 
8496084 
8494610 

10.84931369. 
849 i663 
849 0191 
8488719 
848 7247 
848 5776 

10.848 43o6 9. 
848 2836 
848i366 
8479897 
847 8429 
8476961 

10.847 5493 9. 



UOf. 



di£l" 



478025 
479553 
481080 
482606 
48 4i32 
48 5658 
487182 

48 8707 
490231 

49 1754 
493277 

6321 
4^42 
499363 
5oo8Q/[ 
5o24oj 
5o3923 
5o544i 
506960 
5o8477 

5 1 3o28 

5 1 4543 
5i6o58 
5i 7573 
519087 
520601 

52 aii4 

52 3627 
5a5i39 
5a 665 1 
5a8i6a 
52967a 
53ii83 

53 a< ^ 
534261 
53 5710 
537218 

53 8726 
54oa33 

54 1739 
54 3246 
544751 
546256 
547761 

54 9265 
550769 

55 227a 
553774 
555276 
556778 

55 8279 
559780 
56ia8o 

56 3780 
56 4a79 
56 5777 
567275 
568773 



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5a.8 
52.7 
5a.6 
5a.6 
5a.6 
5a.4 
5a.5 
52.4 
52.3 
52.3 

52.2 
52.2 
52.1 
52.1 
52.1 
51.9 
52 .0 
5i.8 
5,.9 
51.7 
5i.8 
5i.6 
51.7 
5i.5 
5i.5 
5i.5 
5U 
5i.4 
5i.3 
5i.3 

5l.2 
5l.2 

5i.i 
5i.o 
5i.i 
50.9 

I 9 
50.9 

5o.8 

5o.8 

50.7 

5o.6 

5o.7 

5o.5 

5o.5 

5o.5 

50.4 

5o.4 

5o.3 

5o.a 

5o.a 

5o.a 

5o.i 

5o.i 

5o.o 

5o.o 

49.9 

49-8 

498 

49.8 



00-inng. diC 1" Ung. 



oo-tanf. 



io.85a 1975 

85a 0447 
85 1 89ao 
85i 7J94 
85i5868 
85i 4342 

io.85i a8i8 
85i la 
85o 
85o 

85o 6723 
85o 520I 

io.85o 3679 
85o2i58 
85oo637 
849 91 16 
8497597 
8496077 

^0.8494559 
8493o4o 
849i5a3 
8490005 
848 8489 
848697a 

I0.848 5457 
848 394a 
848a4a7 
848 001 3 
847 9599 
847 7886 

10.8476373 
847 486! 
847 3349 
847 1 838 
847 o328 
8468817 

10.8467308 
846 5799 
8464290 
846278a 
846ia74 
8459767 

10.8458261 
8456754 
845 5a49 
845 3744 
845 3239 
8450735 

10.8449231 
8447728 
8446aa6 
8444724 
844 32aa 
844 1721 

10.844 oaao 
843 87ao 
843 7aao 
8435721 
843 42a3 
843 a7a5 

10.843 I 



d.1" 



10.0043472 
a5oa 
a53i 
256i 
2591 
26ao 

io.oo4a65o 
2680 

2709 
2739 



27. 

io.oo438a8 
2858 
a888 
2917 
2947 
2977 

io.oo43oo7 
3o36 
3o66 
3096 
3ia6 
3i56 

1 0.0043 1 85 
3ai5 
3245 
3a75 
33o5 
3335 

10.0043365 
3395 
3424 
3454 
3484 
35i4 



73o8 10.0043544 
3574 
36o4 
3634 
3664 
3694 

10.0043724 
3754 
3784 
38i4 
3844 
3875 

10.0043905 
3935 
3965 

402 5 
4o55 
io.oo44o85 
4m6 
4i46 
4176 
4206 
4236 
.0044^166 



227 10. 



3.0 
2.9 
3.0 
3.0 
2.9 
3.0 
3.0 
2.9 
3.0 
3.0 
a.9 
3.0 
3.0 
3.0 

3.0 
3.0 
3.0 
2.9 
3.0 
3.0 
3.0 
3.0 

3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
a.9 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 

3.1 
3.0 
3.0 
3.0 
3.0 
3.0 
3.0 
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3.1 
3.0 
3.0 
3.0 
3.0 
3.0 



a8|e(y 

5o 
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10 



9.99575 

7498 
7469 
7439 
7409 
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9.995735059' 
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723 

7202 

9-99571 
7142 
711a 
7o83 
7053 
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6755 
6725 



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40 
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9.99566355? 



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6576 
6546 
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6486 



9.9956456 54' 

64a6 - 

6396 

6366 

6336 

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9.9956a 

6a46 

6216 

6186 

61 56 



6125 

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5945 
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5854 
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5794 
5764 
9.9955734 50* 



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40 
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40 
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980 



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20 
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10 

30 

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12*9. 
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30 
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13' 9. 



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10 
20 
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17' 9. 



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10 
20 
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10 
20 
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524507 
52 5974 

52 7440 
528006 
530J71 

53 i836 
53 330I 
534764 
53 6228 

53 7691 
539153 
54o6i5 
542076 

54 3537 
544998 
54 6457 

54 79' 7 
549J76 
55o834 

55 2292 
55374? 
555206 
556663 

55 81 18 
559574 

56 1029 
[56 2483 
563937 

56 5390 
566843 
568296 
[569748 

57 "99 

572650 
574100 
575550 
577000 
578449 
579897 

58 1 345 
58 2792 
58 4239I 
58 5686 
58 7132 

58 8577 
590022 
591467 
592911 
594354 
595797 
597240 
598682 
600124 
[6oi565 
6o3oo5 
[604445 
60 5885 
[60 7324 
[608763 
[61 0201 
[61 1639 



146.7 
146.6 
146.6 
146.5 
146.5 
146.5 
146.3 
146.4 
146.3 
146.2 
146.2 
I46.I 
I46.I 
146.1 
145.9 
146.0 
145.0 
1 45.8 
145.8 
145.7 
145.7 
145.7 
145.5 
145.6 
145.5 
i45w< 
145.4 
145.3 
145.3 
145.3 
145.2 
145.1 
145.1 
145.0 
145.0 
145.0 
144.Q 
144.8 
144.8 
144.7 
144.7 
144.7 
144.6 
144.5 
144.5 
144.5 
144.4 
144.3 
144.3 
144.3 
144.2 
144.2 
144. 1 
144.0 
144.0 
144.0 
143.9 
143.9 
143.8 
143.8 




di£l" 



10.847 5493 
847 4026 
847 2560 
847 1094 
8469629 
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10.846 




Af«G£NTS, 6tC. 



207 



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845 6463 
845 5oo2 
845 3543 
845 2o83 
845 0624 

10.84491669 
8447708 
8446251 
844 4794 
844 3337 
844 i88a 

10.84404269. 
843 8971 
8437517 
843 6o63 
843 4610 
843 3157 

10.843 1704